123:@0.918240:0.967835:0.943652:0.967835:0.943652:0.951847:0.918240:0.951847:0.000000:0.000000:0.000000
Pasemos a la resolución de la ecuación :@0.108231:0.101262:0.419457:0.101262:0.419457:0.084765:0.108231:0.084765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=0, donde  :@0.512721:0.101262:0.599902:0.101262:0.599902:0.084765:0.512721:0.084765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.445450:0.093225:0.450368:0.093225:0.450368:0.083677:0.445450:0.083677:0.000000
+:@0.455187:0.101899:0.432358:0.101899:0.432358:0.085618:0.455187:0.085618:0.000000
+:@0.488593:0.101899:0.465764:0.101899:0.465764:0.085618:0.488593:0.085618:0.000000
ax:@0.427965:0.101378:0.444225:0.101378:0.444225:0.084909:0.427965:0.084909:0.000000:0.000000
bx c:@0.468480:0.101378:0.509476:0.101378:0.509476:0.084909:0.468480:0.084909:0.000000:0.000000:0.000000:0.000000
a b c:@0.108233:0.118729:0.147457:0.118729:0.147457:0.102260:0.108233:0.102260:0.000000:0.000000:0.000000:0.000000:0.000000
,  ,   :@0.117211:0.118613:0.151599:0.118613:0.151599:0.102115:0.117211:0.102115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.151599:0.118396:0.167647:0.118396:0.167647:0.103749:0.151599:0.103749:0.000000
R:@0.167647:0.117644:0.181557:0.117644:0.181557:0.104198:0.167647:0.104198:0.000000
,   ≠ 0. Como  ≠ 0, :@0.181557:0.118613:0.324524:0.118613:0.324524:0.102115:0.181557:0.102115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.188454:0.118729:0.197431:0.118729:0.197431:0.102260:0.188454:0.102260:0.000000
a :@0.281062:0.118729:0.294181:0.118729:0.294181:0.102260:0.281062:0.102260:0.000000:0.000000
a:@0.324524:0.118729:0.333502:0.118729:0.333502:0.102260:0.324524:0.102260:0.000000
–1:@0.333494:0.112260:0.344568:0.112260:0.344568:0.102642:0.333494:0.102642:0.000000:0.000000
 ∙   = 1. :@0.344569:0.118613:0.399071:0.118613:0.399071:0.102115:0.344569:0.102115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.355608:0.118729:0.364586:0.118729:0.364586:0.102260:0.355608:0.102260:0.000000
Multiplicando por :@0.108223:0.143092:0.243213:0.143092:0.243213:0.126594:0.108223:0.126594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.243213:0.143208:0.252190:0.143208:0.252190:0.126739:0.243213:0.126739:0.000000
–1:@0.252198:0.136739:0.263272:0.136739:0.263272:0.127120:0.252198:0.127120:0.000000:0.000000
 tenemos::@0.263271:0.143092:0.332682:0.143092:0.332682:0.126594:0.263271:0.126594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=0,  de donde :@0.197332:0.177000:0.302675:0.177000:0.302675:0.160502:0.197332:0.160502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.120638:0.168964:0.125556:0.168964:0.125556:0.159415:0.120638:0.159415:0.000000
+:@0.130376:0.177636:0.102365:0.177636:0.102365:0.161355:0.130376:0.161355:0.000000
+:@0.168965:0.177636:0.140953:0.177636:0.140953:0.161355:0.168965:0.161355:0.000000
x:@0.111940:0.177115:0.119414:0.177115:0.119414:0.160647:0.111940:0.160647:0.000000
b:@0.145191:0.167804:0.154458:0.167804:0.154458:0.151335:0.145191:0.151335:0.000000
a:@0.145609:0.188117:0.154587:0.188117:0.154587:0.171648:0.145609:0.171648:0.000000
x:@0.158070:0.177115:0.165545:0.177115:0.165545:0.160647:0.158070:0.160647:0.000000
c:@0.184829:0.167804:0.192015:0.167804:0.192015:0.151335:0.184829:0.151335:0.000000
a:@0.184193:0.188117:0.193171:0.188117:0.193171:0.171648:0.184193:0.171648:0.000000
=:@0.363714:0.177000:0.374522:0.177000:0.374522:0.160502:0.363714:0.160502:0.000000
2:@0.315080:0.168964:0.319997:0.168964:0.319997:0.159415:0.315080:0.159415:0.000000
+:@0.324816:0.177636:0.335393:0.177636:0.335393:0.161355:0.324816:0.161355:0.000000
−:@0.377372:0.177636:0.387949:0.177636:0.387949:0.161355:0.377372:0.161355:0.000000
x:@0.306389:0.177115:0.313864:0.177115:0.313864:0.160647:0.306389:0.160647:0.000000
b:@0.339641:0.167804:0.348907:0.167804:0.348907:0.151335:0.339641:0.151335:0.000000
a:@0.340051:0.188117:0.349029:0.188117:0.349029:0.171648:0.340051:0.171648:0.000000
x:@0.352511:0.177115:0.359986:0.177115:0.359986:0.160647:0.352511:0.160647:0.000000
c:@0.392140:0.167804:0.399326:0.167804:0.399326:0.151335:0.392140:0.151335:0.000000
a:@0.391513:0.188117:0.400490:0.188117:0.400490:0.171648:0.391513:0.171648:0.000000
.:@0.404863:0.177000:0.407618:0.177000:0.407618:0.160502:0.404863:0.160502:0.000000
Sumando :@0.108236:0.210906:0.181424:0.210906:0.181424:0.194408:0.108236:0.194408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.185921:0.223167:0.194417:0.223167:0.194417:0.206669:0.185921:0.206669:0.000000
2:@0.199586:0.194818:0.204503:0.194818:0.204503:0.185269:0.199586:0.185269:0.000000
2:@0.204191:0.215129:0.209108:0.215129:0.209108:0.205580:0.204191:0.205580:0.000000
b:@0.190057:0.202969:0.199323:0.202969:0.199323:0.186500:0.190057:0.186500:0.000000
a:@0.195083:0.223282:0.204060:0.223282:0.204060:0.206813:0.195083:0.206813:0.000000
 en ambos miembros de la última igualdad, tenemos::@0.216599:0.210908:0.591595:0.210908:0.591595:0.194410:0.216599:0.194410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.172822:0.253421:0.180297:0.253421:0.180297:0.236952:0.172822:0.236952:0.000000
2:@0.181511:0.245270:0.186429:0.245270:0.186429:0.235721:0.181511:0.235721:0.000000
+:@0.189888:0.253941:0.200464:0.253941:0.200464:0.237661:0.189888:0.237661:0.000000
b:@0.203701:0.244587:0.212967:0.244587:0.212967:0.228118:0.203701:0.228118:0.000000
a:@0.204127:0.264776:0.213105:0.264776:0.213105:0.248307:0.204127:0.248307:0.000000
x:@0.216534:0.253421:0.224009:0.253421:0.224009:0.236952:0.216534:0.236952:0.000000
+:@0.226378:0.253941:0.236955:0.253941:0.236955:0.237661:0.226378:0.237661:0.000000
b:@0.244758:0.244587:0.254024:0.244587:0.254024:0.228118:0.244758:0.228118:0.000000
2:@0.254280:0.236430:0.259198:0.236430:0.259198:0.226881:0.254280:0.226881:0.000000
4:@0.240616:0.264660:0.249111:0.264660:0.249111:0.248162:0.240616:0.248162:0.000000
a:@0.249786:0.264776:0.258763:0.264776:0.258763:0.248307:0.249786:0.248307:0.000000
2:@0.258887:0.256624:0.263805:0.256624:0.263805:0.247075:0.258887:0.247075:0.000000
=:@0.270038:0.253305:0.280846:0.253305:0.280846:0.236808:0.270038:0.236808:0.000000
c:@0.297103:0.244581:0.304289:0.244581:0.304289:0.228112:0.297103:0.228112:0.000000
a:@0.296475:0.264776:0.305452:0.264776:0.305452:0.248307:0.296475:0.248307:0.000000
+:@0.308253:0.253941:0.318830:0.253941:0.318830:0.237661:0.308253:0.237661:0.000000
b:@0.326632:0.244587:0.335899:0.244587:0.335899:0.228118:0.326632:0.228118:0.000000
2:@0.336158:0.236430:0.341075:0.236430:0.341075:0.226881:0.336158:0.226881:0.000000
4:@0.322493:0.264660:0.330989:0.264660:0.330989:0.248162:0.322493:0.248162:0.000000
a:@0.331663:0.264776:0.340641:0.264776:0.340641:0.248307:0.331663:0.248307:0.000000
2:@0.340765:0.256624:0.345682:0.256624:0.345682:0.247075:0.340765:0.247075:0.000000
x:@0.391441:0.253421:0.398916:0.253421:0.398916:0.236952:0.391441:0.236952:0.000000
+:@0.401285:0.253941:0.411862:0.253941:0.411862:0.237661:0.401285:0.237661:0.000000
b:@0.419452:0.244587:0.428719:0.244587:0.428719:0.228118:0.419452:0.228118:0.000000
2:@0.415103:0.264660:0.423599:0.264660:0.423599:0.248162:0.415103:0.248162:0.000000
a:@0.424274:0.264776:0.433251:0.264776:0.433251:0.248307:0.424274:0.248307:0.000000
2:@0.442432:0.234032:0.447349:0.234032:0.447349:0.224483:0.442432:0.224483:0.000000
=:@0.452064:0.253305:0.462872:0.253305:0.462872:0.236808:0.452064:0.236808:0.000000
b:@0.466725:0.244587:0.475992:0.244587:0.475992:0.228118:0.466725:0.228118:0.000000
2:@0.476250:0.236430:0.481167:0.236430:0.481167:0.226881:0.476250:0.226881:0.000000
4:@0.497766:0.244465:0.506262:0.244465:0.506262:0.227968:0.497766:0.227968:0.000000
ac:@0.506937:0.244581:0.522908:0.244581:0.522908:0.228112:0.506937:0.228112:0.000000:0.000000
4:@0.482637:0.264660:0.491133:0.264660:0.491133:0.248162:0.482637:0.248162:0.000000
a:@0.491788:0.264776:0.500766:0.264776:0.500766:0.248307:0.491788:0.248307:0.000000
2:@0.500908:0.256624:0.505825:0.256624:0.505825:0.247075:0.500908:0.247075:0.000000
.:@0.526194:0.253305:0.528949:0.253305:0.528949:0.236808:0.526194:0.236808:0.000000
El lado izquierdo de la última ecuación es un número real no negativo, :@0.108231:0.285597:0.599859:0.285597:0.599859:0.269099:0.108231:0.269099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mientras que el lado derecho puede ser positivo, negativo o cero; es :@0.108231:0.302947:0.599952:0.302947:0.599952:0.286450:0.108231:0.286450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decir que su signo depende del :@0.108231:0.320298:0.331032:0.320298:0.331032:0.303800:0.108231:0.303800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
discriminante:@0.330589:0.320761:0.437314:0.320761:0.437314:0.303815:0.330589:0.303815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  =   –4 . Entonces,  :@0.437314:0.320298:0.599911:0.320298:0.599911:0.303800:0.437314:0.303800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d  b:@0.440981:0.320414:0.477623:0.320414:0.477623:0.303945:0.440981:0.303945:0.000000:0.000000:0.000000:0.000000
2:@0.477620:0.313946:0.482573:0.313946:0.482573:0.304328:0.477620:0.304328:0.000000
ac:@0.505267:0.320414:0.521314:0.320414:0.521314:0.303945:0.505267:0.303945:0.000000:0.000000
x:@0.083312:0.359247:0.090787:0.359247:0.090787:0.342778:0.083312:0.342778:0.000000
2:@0.092003:0.351095:0.096920:0.351095:0.096920:0.341547:0.092003:0.341547:0.000000
+:@0.100379:0.359767:0.110955:0.359767:0.110955:0.343486:0.100379:0.343486:0.000000
b:@0.114192:0.350412:0.123459:0.350412:0.123459:0.333944:0.114192:0.333944:0.000000
a:@0.114616:0.370611:0.123593:0.370611:0.123593:0.354143:0.114616:0.354143:0.000000
x:@0.127023:0.359261:0.134498:0.359261:0.134498:0.342792:0.127023:0.342792:0.000000
+:@0.136867:0.359782:0.147444:0.359782:0.147444:0.343501:0.136867:0.343501:0.000000
b:@0.155246:0.350427:0.164513:0.350427:0.164513:0.333958:0.155246:0.333958:0.000000
2:@0.164771:0.342255:0.169688:0.342255:0.169688:0.332706:0.164771:0.332706:0.000000
4:@0.151107:0.370487:0.159603:0.370487:0.159603:0.353989:0.151107:0.353989:0.000000
a:@0.160278:0.370603:0.169255:0.370603:0.169255:0.354134:0.160278:0.354134:0.000000
2:@0.169378:0.362450:0.174295:0.362450:0.174295:0.352901:0.169378:0.352901:0.000000
=:@0.180528:0.359131:0.191336:0.359131:0.191336:0.342633:0.180528:0.342633:0.000000
c:@0.207596:0.350412:0.214782:0.350412:0.214782:0.333944:0.207596:0.333944:0.000000
a:@0.206960:0.370611:0.215938:0.370611:0.215938:0.354143:0.206960:0.354143:0.000000
+:@0.218731:0.359782:0.229308:0.359782:0.229308:0.343501:0.218731:0.343501:0.000000
b:@0.237110:0.350427:0.246377:0.350427:0.246377:0.333958:0.237110:0.333958:0.000000
2:@0.246648:0.342255:0.251566:0.342255:0.251566:0.332706:0.246648:0.332706:0.000000
4:@0.232985:0.370487:0.241481:0.370487:0.241481:0.353989:0.232985:0.353989:0.000000
a:@0.242155:0.370603:0.251133:0.370603:0.251133:0.354134:0.242155:0.354134:0.000000
2:@0.251255:0.362450:0.256172:0.362450:0.256172:0.352901:0.251255:0.352901:0.000000
x:@0.301931:0.359247:0.309406:0.359247:0.309406:0.342778:0.301931:0.342778:0.000000
+:@0.311776:0.359767:0.322352:0.359767:0.322352:0.343486:0.311776:0.343486:0.000000
b:@0.329943:0.350412:0.339209:0.350412:0.339209:0.333944:0.329943:0.333944:0.000000
2:@0.325589:0.370496:0.334085:0.370496:0.334085:0.353998:0.325589:0.353998:0.000000
a:@0.334756:0.370603:0.343733:0.370603:0.343733:0.354134:0.334756:0.354134:0.000000
2:@0.352922:0.339859:0.357839:0.339859:0.357839:0.330310:0.352922:0.330310:0.000000
=:@0.362555:0.359131:0.373362:0.359131:0.373362:0.342633:0.362555:0.342633:0.000000
b:@0.377215:0.350412:0.386482:0.350412:0.386482:0.333944:0.377215:0.333944:0.000000
2:@0.386740:0.342255:0.391657:0.342255:0.391657:0.332706:0.386740:0.332706:0.000000
4:@0.408257:0.350291:0.416753:0.350291:0.416753:0.333793:0.408257:0.333793:0.000000
ac:@0.417427:0.350407:0.433398:0.350407:0.433398:0.333938:0.417427:0.333938:0.000000:0.000000
4:@0.393134:0.370490:0.401630:0.370490:0.401630:0.353992:0.393134:0.353992:0.000000
a:@0.402285:0.370606:0.411262:0.370606:0.411262:0.354137:0.402285:0.354137:0.000000
2:@0.411398:0.362450:0.416315:0.362450:0.416315:0.352901:0.411398:0.352901:0.000000
.:@0.436684:0.359131:0.439439:0.359131:0.439439:0.342633:0.436684:0.342633:0.000000
2:@0.321942:0.370756:0.330438:0.370756:0.330438:0.354258:0.321942:0.354258:0.000000
=:@0.361686:0.359753:0.372494:0.359753:0.372494:0.343255:0.361686:0.343255:0.000000
4:@0.376858:0.370756:0.385354:0.370756:0.385354:0.354258:0.376858:0.354258:0.000000
.:@0.405293:0.359753:0.408048:0.359753:0.408048:0.343255:0.405293:0.343255:0.000000
2:@0.351625:0.340285:0.356543:0.340285:0.356543:0.330736:0.351625:0.330736:0.000000
2:@0.395130:0.362720:0.400047:0.362720:0.400047:0.353172:0.395130:0.353172:0.000000
+:@0.307126:0.360391:0.317703:0.360391:0.317703:0.344110:0.307126:0.344110:0.000000
x:@0.296241:0.359870:0.303716:0.359870:0.303716:0.343402:0.296241:0.343402:0.000000
b:@0.326295:0.350559:0.335561:0.350559:0.335561:0.334090:0.326295:0.334090:0.000000
a:@0.331111:0.370874:0.340089:0.370874:0.340089:0.354405:0.331111:0.354405:0.000000
d:@0.384815:0.350559:0.393985:0.350559:0.393985:0.334090:0.384815:0.334090:0.000000
a:@0.386010:0.370874:0.394987:0.370874:0.394987:0.354405:0.386010:0.354405:0.000000
Estudiemos en qué casos esta ecuación tiene solución.:@0.108224:0.400572:0.493870:0.400572:0.493870:0.384075:0.108224:0.384075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.108224:0.425268:0.118377:0.425268:0.118377:0.408554:0.108224:0.408554:0.000000:0.000000
   Si   < 0, la ecuación no tiene solución en el conjunto de los núme-:@0.117999:0.425058:0.595752:0.425058:0.595752:0.408560:0.117999:0.408560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.147301:0.425173:0.156472:0.425173:0.156472:0.408705:0.147301:0.408705:0.000000
ros reales. Así:  =:@0.131947:0.443030:0.257861:0.443037:0.257861:0.426539:0.131947:0.426532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| () =0  =  .:@0.315522:0.443037:0.416088:0.443037:0.416088:0.426539:0.315522:0.426539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.236438:0.443153:0.244318:0.443153:0.244318:0.426684:0.236438:0.426684:0.000000
x:@0.269998:0.443153:0.277473:0.443153:0.277473:0.426684:0.269998:0.426684:0.000000
fx:@0.326118:0.443153:0.347406:0.443153:0.347406:0.426684:0.326118:0.426684:0.000000:0.000000
{:@0.259723:0.445686:0.268971:0.445686:0.268971:0.425823:0.259723:0.425823:0.000000
}:@0.379033:0.445686:0.388280:0.445686:0.388280:0.425823:0.379033:0.425823:0.000000
∈:@0.281815:0.443673:0.295551:0.443673:0.295551:0.427392:0.281815:0.427392:0.000000
 :@0.108229:0.474847:0.112371:0.474847:0.112371:0.458349:0.108229:0.458349:0.000000
  Nótese en este caso que para :@0.131963:0.474847:0.352009:0.474847:0.352009:0.458349:0.131963:0.458349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.353627:0.474962:0.365244:0.474962:0.365244:0.458494:0.353627:0.458494:0.000000:0.000000
 :@0.366845:0.474630:0.387709:0.474630:0.387709:0.459983:0.366845:0.459983:0.000000:0.000000
R:@0.389598:0.473878:0.403507:0.473878:0.403507:0.460431:0.389598:0.460431:0.000000
,  :@0.403507:0.474847:0.416165:0.474847:0.416165:0.458349:0.403507:0.458349:0.000000:0.000000:0.000000
x:@0.208716:0.474858:0.216191:0.474858:0.216191:0.458389:0.208716:0.458389:0.000000
2:@0.217405:0.466705:0.222323:0.466705:0.222323:0.457157:0.217405:0.457157:0.000000
+:@0.225781:0.475379:0.236358:0.475379:0.236358:0.459098:0.225781:0.459098:0.000000
b:@0.239594:0.466024:0.248861:0.466024:0.248861:0.449555:0.239594:0.449555:0.000000
a:@0.240018:0.486223:0.248996:0.486223:0.248996:0.469754:0.240018:0.469754:0.000000
x:@0.252425:0.474873:0.259900:0.474873:0.259900:0.458404:0.252425:0.458404:0.000000
+:@0.262270:0.475393:0.272846:0.475393:0.272846:0.459112:0.262270:0.459112:0.000000
b:@0.280649:0.466038:0.289915:0.466038:0.289915:0.449569:0.280649:0.449569:0.000000
2:@0.290174:0.457865:0.295092:0.457865:0.295092:0.448317:0.290174:0.448317:0.000000
4:@0.276511:0.486097:0.285007:0.486097:0.285007:0.469599:0.276511:0.469599:0.000000
a:@0.285681:0.486213:0.294659:0.486213:0.294659:0.469744:0.285681:0.469744:0.000000
2:@0.294781:0.478061:0.299699:0.478061:0.299699:0.468513:0.294781:0.468513:0.000000
=:@0.305931:0.474742:0.316739:0.474742:0.316739:0.458245:0.305931:0.458245:0.000000
c:@0.332999:0.466024:0.340185:0.466024:0.340185:0.449555:0.332999:0.449555:0.000000
a:@0.332363:0.486223:0.341341:0.486223:0.341341:0.469754:0.332363:0.469754:0.000000
+:@0.344134:0.475393:0.354711:0.475393:0.354711:0.459112:0.344134:0.459112:0.000000
b:@0.362513:0.466038:0.371780:0.466038:0.371780:0.449569:0.362513:0.449569:0.000000
2:@0.372051:0.457865:0.376969:0.457865:0.376969:0.448317:0.372051:0.448317:0.000000
4:@0.358388:0.486097:0.366884:0.486097:0.366884:0.469599:0.358388:0.469599:0.000000
a:@0.367558:0.486213:0.376536:0.486213:0.376536:0.469744:0.367558:0.469744:0.000000
2:@0.376658:0.478061:0.381576:0.478061:0.381576:0.468513:0.376658:0.468513:0.000000
x:@0.427334:0.474858:0.434809:0.474858:0.434809:0.458389:0.427334:0.458389:0.000000
+:@0.437179:0.475379:0.447756:0.475379:0.447756:0.459098:0.437179:0.459098:0.000000
b:@0.455346:0.466024:0.464613:0.466024:0.464613:0.449555:0.455346:0.449555:0.000000
2:@0.450992:0.486107:0.459488:0.486107:0.459488:0.469609:0.450992:0.469609:0.000000
a:@0.460159:0.486213:0.469137:0.486213:0.469137:0.469744:0.460159:0.469744:0.000000
2:@0.478325:0.455469:0.483243:0.455469:0.483243:0.445920:0.478325:0.445920:0.000000
=:@0.487958:0.474742:0.498766:0.474742:0.498766:0.458245:0.487958:0.458245:0.000000
b:@0.502619:0.466024:0.511885:0.466024:0.511885:0.449555:0.502619:0.449555:0.000000
2:@0.512143:0.457865:0.517061:0.457865:0.517061:0.448317:0.512143:0.448317:0.000000
4:@0.533660:0.465901:0.542156:0.465901:0.542156:0.449403:0.533660:0.449403:0.000000
ac:@0.542830:0.466017:0.558801:0.466017:0.558801:0.449548:0.542830:0.449548:0.000000:0.000000
4:@0.518537:0.486100:0.527033:0.486100:0.527033:0.469603:0.518537:0.469603:0.000000
a:@0.527688:0.486216:0.536666:0.486216:0.536666:0.469747:0.527688:0.469747:0.000000
2:@0.536801:0.478061:0.541719:0.478061:0.541719:0.468513:0.536801:0.468513:0.000000
.:@0.562087:0.474742:0.564842:0.474742:0.564842:0.458245:0.562087:0.458245:0.000000
 :@0.486160:0.474847:0.490302:0.474847:0.490302:0.458349:0.486160:0.458349:0.000000
2:@0.452195:0.484591:0.460691:0.484591:0.460691:0.468093:0.452195:0.468093:0.000000
4:@0.506850:0.484591:0.515346:0.484591:0.515346:0.468093:0.506850:0.468093:0.000000
>0 , con :@0.535902:0.473588:0.599902:0.474847:0.599902:0.458350:0.535902:0.457090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.481879:0.454120:0.486796:0.454120:0.486796:0.444571:0.481879:0.444571:0.000000
2:@0.525121:0.476555:0.530039:0.476555:0.530039:0.467006:0.525121:0.467006:0.000000
+:@0.437381:0.474226:0.447957:0.474226:0.447957:0.457945:0.437381:0.457945:0.000000
−:@0.491612:0.474226:0.502189:0.474226:0.502189:0.457945:0.491612:0.457945:0.000000
x:@0.426496:0.473705:0.433971:0.473705:0.433971:0.457236:0.426496:0.457236:0.000000
b:@0.456550:0.464394:0.465816:0.464394:0.465816:0.447925:0.456550:0.447925:0.000000
a:@0.461366:0.484708:0.470344:0.484708:0.470344:0.468240:0.461366:0.468240:0.000000
d:@0.514807:0.464394:0.523977:0.464394:0.523977:0.447925:0.514807:0.447925:0.000000
a:@0.516001:0.484708:0.524979:0.484708:0.524979:0.468240:0.516001:0.468240:0.000000
lo cual :@0.131968:0.507539:0.184724:0.507539:0.184724:0.491041:0.131968:0.491041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.189760:0.507465:0.211068:0.507465:0.211068:0.490996:0.189760:0.490996:0.000000:0.000000:0.000000
( )=:@0.196888:0.507349:0.230988:0.507349:0.230988:0.490852:0.196888:0.490852:0.000000:0.000000:0.000000:0.000000
ax:@0.233743:0.507465:0.265935:0.507465:0.265935:0.490996:0.233743:0.490996:0.000000:0.000000
+:@0.268285:0.507985:0.278862:0.507985:0.278862:0.491705:0.268285:0.491705:0.000000
b:@0.286453:0.498630:0.295719:0.498630:0.295719:0.482162:0.286453:0.482162:0.000000
2:@0.282099:0.518714:0.290595:0.518714:0.290595:0.502216:0.282099:0.502216:0.000000
a:@0.291269:0.518830:0.300247:0.518830:0.300247:0.502361:0.291269:0.502361:0.000000
2:@0.309434:0.488076:0.314352:0.488076:0.314352:0.478527:0.309434:0.478527:0.000000
d:@0.340271:0.498624:0.349441:0.498624:0.349441:0.482155:0.340271:0.482155:0.000000
4:@0.332468:0.518707:0.340964:0.518707:0.340964:0.502209:0.332468:0.502209:0.000000
a:@0.341638:0.518823:0.350616:0.518823:0.350616:0.502354:0.341638:0.502354:0.000000
2:@0.350741:0.510668:0.355658:0.510668:0.355658:0.501119:0.350741:0.501119:0.000000
 y, en consecuencia, para todo :@0.371812:0.507537:0.599909:0.507537:0.599909:0.491039:0.371812:0.491039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.595751:0.507537:0.599893:0.507537:0.599893:0.491039:0.595751:0.491039:0.000000
x :@0.131959:0.540344:0.143576:0.540344:0.143576:0.523875:0.131959:0.523875:0.000000:0.000000
 :@0.143576:0.540011:0.164441:0.540011:0.164441:0.525364:0.143576:0.525364:0.000000:0.000000
R :@0.164441:0.539260:0.183167:0.539260:0.183167:0.525813:0.164441:0.525813:0.000000:0.000000
se tienen las desigualdades siguientes: :@0.183167:0.540229:0.453034:0.540229:0.453034:0.523731:0.183167:0.523731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.469472:0.527437:0.490779:0.527437:0.490779:0.510968:0.469472:0.510968:0.000000:0.000000:0.000000
( )>0,si >0,o:@0.476600:0.527321:0.587587:0.527321:0.587587:0.510824:0.476600:0.510824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.538480:0.527437:0.547457:0.527437:0.547457:0.510968:0.538480:0.510968:0.000000
f x:@0.469491:0.549444:0.490798:0.549444:0.490798:0.532975:0.469491:0.532975:0.000000:0.000000:0.000000
( )<0,si <0.:@0.476619:0.549328:0.574602:0.549328:0.574602:0.532830:0.476619:0.532830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.539963:0.549444:0.548941:0.549444:0.548941:0.532975:0.539963:0.532975:0.000000
 :@0.108231:0.564705:0.112373:0.564705:0.112373:0.548207:0.108231:0.548207:0.000000
Esto se representa gráficamente en la figura 3.6.:@0.131966:0.564705:0.465694:0.564705:0.465694:0.548207:0.131966:0.548207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii):@0.108231:0.603860:0.122256:0.603860:0.122256:0.587145:0.108231:0.587145:0.000000:0.000000:0.000000
   Si   = 0  se tiene :@0.121871:0.603643:0.255880:0.603643:0.255880:0.587146:0.121871:0.587146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.148669:0.603759:0.157839:0.603759:0.157839:0.587290:0.148669:0.587290:0.000000
x:@0.047553:0.603653:0.055028:0.603653:0.055028:0.587185:0.047553:0.587185:0.000000
2:@0.056243:0.595502:0.061161:0.595502:0.061161:0.585953:0.056243:0.585953:0.000000
+:@0.064619:0.604174:0.075196:0.604174:0.075196:0.587893:0.064619:0.587893:0.000000
b:@0.078433:0.594819:0.087699:0.594819:0.087699:0.578350:0.078433:0.578350:0.000000
a:@0.078856:0.615018:0.087834:0.615018:0.087834:0.598549:0.078856:0.598549:0.000000
x:@0.091263:0.603668:0.098738:0.603668:0.098738:0.587199:0.091263:0.587199:0.000000
+:@0.101108:0.604188:0.111684:0.604188:0.111684:0.587908:0.101108:0.587908:0.000000
b:@0.119487:0.594833:0.128753:0.594833:0.128753:0.578365:0.119487:0.578365:0.000000
2:@0.129011:0.586662:0.133929:0.586662:0.133929:0.577113:0.129011:0.577113:0.000000
4:@0.115348:0.614894:0.123844:0.614894:0.123844:0.598396:0.115348:0.598396:0.000000
a:@0.124518:0.615009:0.133495:0.615009:0.133495:0.598541:0.124518:0.598541:0.000000
2:@0.133618:0.606857:0.138535:0.606857:0.138535:0.597308:0.133618:0.597308:0.000000
=:@0.144768:0.603538:0.155576:0.603538:0.155576:0.587040:0.144768:0.587040:0.000000
c:@0.171836:0.594819:0.179022:0.594819:0.179022:0.578350:0.171836:0.578350:0.000000
a:@0.171200:0.615018:0.180178:0.615018:0.180178:0.598549:0.171200:0.598549:0.000000
+:@0.182971:0.604188:0.193548:0.604188:0.193548:0.587908:0.182971:0.587908:0.000000
b:@0.201350:0.594833:0.210617:0.594833:0.210617:0.578365:0.201350:0.578365:0.000000
2:@0.210888:0.586662:0.215806:0.586662:0.215806:0.577113:0.210888:0.577113:0.000000
4:@0.197225:0.614894:0.205721:0.614894:0.205721:0.598396:0.197225:0.598396:0.000000
a:@0.206395:0.615009:0.215373:0.615009:0.215373:0.598541:0.206395:0.598541:0.000000
2:@0.215495:0.606857:0.220413:0.606857:0.220413:0.597308:0.215495:0.597308:0.000000
x:@0.266171:0.603653:0.273646:0.603653:0.273646:0.587185:0.266171:0.587185:0.000000
+:@0.276016:0.604174:0.286592:0.604174:0.286592:0.587893:0.276016:0.587893:0.000000
b:@0.294183:0.594819:0.303450:0.594819:0.303450:0.578350:0.294183:0.578350:0.000000
2:@0.289834:0.614894:0.298330:0.614894:0.298330:0.598396:0.289834:0.598396:0.000000
a:@0.299004:0.615009:0.307982:0.615009:0.307982:0.598541:0.299004:0.598541:0.000000
2:@0.317162:0.584266:0.322080:0.584266:0.322080:0.574717:0.317162:0.574717:0.000000
=:@0.326795:0.603538:0.337603:0.603538:0.337603:0.587040:0.326795:0.587040:0.000000
b:@0.341456:0.594819:0.350722:0.594819:0.350722:0.578350:0.341456:0.578350:0.000000
2:@0.350980:0.586662:0.355898:0.586662:0.355898:0.577113:0.350980:0.577113:0.000000
4:@0.372497:0.594698:0.380993:0.594698:0.380993:0.578200:0.372497:0.578200:0.000000
ac:@0.381667:0.594813:0.397638:0.594813:0.397638:0.578345:0.381667:0.578345:0.000000:0.000000
4:@0.357374:0.614897:0.365870:0.614897:0.365870:0.598399:0.357374:0.598399:0.000000
a:@0.366525:0.615013:0.375502:0.615013:0.375502:0.598544:0.366525:0.598544:0.000000
2:@0.375638:0.606857:0.380556:0.606857:0.380556:0.597308:0.375638:0.597308:0.000000
.:@0.400924:0.603538:0.403679:0.603538:0.403679:0.587040:0.400924:0.587040:0.000000
= 0, con lo cual :@0.324999:0.603643:0.440090:0.603643:0.440090:0.587146:0.324999:0.587146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.470246:0.613387:0.478742:0.613387:0.478742:0.596890:0.470246:0.596890:0.000000
=0,  de donde :@0.492546:0.602386:0.599914:0.603643:0.599914:0.587146:0.492546:0.585888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.455442:0.603022:0.466018:0.603022:0.466018:0.586742:0.455442:0.586742:0.000000
x:@0.444557:0.602502:0.452032:0.602502:0.452032:0.586033:0.444557:0.586033:0.000000
b:@0.474610:0.593190:0.483877:0.593190:0.483877:0.576721:0.474610:0.576721:0.000000
a:@0.479408:0.613503:0.488385:0.613503:0.488385:0.597034:0.479408:0.597034:0.000000
=:@0.146894:0.633819:0.157702:0.633819:0.157702:0.617321:0.146894:0.617321:0.000000
2:@0.174274:0.644820:0.182770:0.644820:0.182770:0.628322:0.174274:0.628322:0.000000
. Por lo tanto, si   = 0,  =:@0.195163:0.633819:0.388600:0.633819:0.388600:0.617321:0.195163:0.617321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.160563:0.634455:0.171139:0.634455:0.171139:0.618174:0.160563:0.618174:0.000000
x:@0.135691:0.633934:0.143166:0.633934:0.143166:0.617466:0.135691:0.617466:0.000000
b:@0.178614:0.624623:0.187881:0.624623:0.187881:0.608154:0.178614:0.608154:0.000000
a:@0.183436:0.644936:0.192414:0.644936:0.192414:0.628467:0.183436:0.628467:0.000000
d:@0.315943:0.633934:0.325113:0.633934:0.325113:0.617466:0.315943:0.617466:0.000000
2:@0.405173:0.644820:0.413669:0.644820:0.413669:0.628322:0.405173:0.628322:0.000000
−:@0.391457:0.634455:0.402034:0.634455:0.402034:0.618174:0.391457:0.618174:0.000000
x:@0.366586:0.633934:0.374061:0.633934:0.374061:0.617466:0.366586:0.617466:0.000000
b:@0.409509:0.624623:0.418776:0.624623:0.418776:0.608154:0.409509:0.608154:0.000000
a:@0.414335:0.644936:0.423312:0.644936:0.423312:0.628467:0.414335:0.628467:0.000000
 es una raíz doble de la :@0.428207:0.633819:0.599934:0.633819:0.599934:0.617321:0.428207:0.617321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación de segundo grado. Es decir que  ( ) se expresa en la :@0.131965:0.663994:0.599918:0.663994:0.599918:0.647497:0.131965:0.647497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f  x:@0.442228:0.664110:0.466410:0.664110:0.466410:0.647641:0.442228:0.647641:0.000000:0.000000:0.000000:0.000000
 :@0.595757:0.663994:0.599899:0.663994:0.599899:0.647497:0.595757:0.647497:0.000000
forma :@0.131965:0.693288:0.178626:0.693288:0.178626:0.676791:0.131965:0.676791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.181582:0.692664:0.202889:0.692664:0.202889:0.676195:0.181582:0.676195:0.000000:0.000000:0.000000
( )=:@0.188710:0.692548:0.222809:0.692548:0.222809:0.676051:0.188710:0.676051:0.000000:0.000000:0.000000:0.000000
ax:@0.225564:0.692664:0.250262:0.692664:0.250262:0.676195:0.225564:0.676195:0.000000:0.000000
b:@0.290054:0.683823:0.299320:0.683823:0.299320:0.667354:0.290054:0.667354:0.000000
2:@0.285700:0.703906:0.294196:0.703906:0.294196:0.687409:0.285700:0.687409:0.000000
a:@0.294870:0.704022:0.303847:0.704022:0.303847:0.687553:0.294870:0.687553:0.000000
2:@0.319317:0.672136:0.324234:0.672136:0.324234:0.662587:0.319317:0.662587:0.000000
=:@0.328949:0.692548:0.339757:0.692548:0.339757:0.676051:0.328949:0.676051:0.000000
ax:@0.342512:0.692664:0.368366:0.692664:0.368366:0.676195:0.342512:0.676195:0.000000:0.000000
+:@0.370736:0.693185:0.381312:0.693185:0.381312:0.676904:0.370736:0.676904:0.000000
b:@0.388903:0.683830:0.398169:0.683830:0.398169:0.667361:0.388903:0.667361:0.000000
2:@0.384549:0.703913:0.393045:0.703913:0.393045:0.687415:0.384549:0.687415:0.000000
a:@0.393719:0.704029:0.402697:0.704029:0.402697:0.687560:0.393719:0.687560:0.000000
2:@0.411875:0.673275:0.416793:0.673275:0.416793:0.663726:0.411875:0.663726:0.000000
,:@0.420880:0.692548:0.423635:0.692548:0.423635:0.676051:0.420880:0.676051:0.000000
x:@0.436119:0.692664:0.443593:0.692664:0.443593:0.676195:0.436119:0.676195:0.000000
.:@0.479565:0.692548:0.482320:0.692548:0.482320:0.676051:0.479565:0.676051:0.000000
 :@0.108231:0.728454:0.112373:0.728454:0.112373:0.711957:0.108231:0.711957:0.000000
  El conjunto solución es :@0.131975:0.728454:0.300805:0.728454:0.300805:0.711957:0.131975:0.711957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.302487:0.729495:0.310367:0.729495:0.310367:0.713027:0.302487:0.713027:0.000000
={:@0.312794:0.729380:0.331790:0.729380:0.331790:0.712882:0.312794:0.712882:0.000000:0.000000
x:@0.333003:0.729495:0.340478:0.729495:0.340478:0.713027:0.333003:0.713027:0.000000
|:@0.377612:0.729380:0.382621:0.729380:0.382621:0.712882:0.377612:0.712882:0.000000
ax:@0.384740:0.729495:0.401000:0.729495:0.401000:0.713027:0.384740:0.713027:0.000000:0.000000
2:@0.402218:0.721344:0.407135:0.721344:0.407135:0.711795:0.402218:0.711795:0.000000
+:@0.410594:0.730016:0.421170:0.730016:0.421170:0.713735:0.410594:0.713735:0.000000
bx c:@0.422904:0.729495:0.461859:0.729495:0.461859:0.713027:0.422904:0.713027:0.000000:0.000000:0.000000:0.000000
+:@0.441958:0.730016:0.452534:0.730016:0.452534:0.713735:0.441958:0.713735:0.000000
=0}=:@0.464980:0.729380:0.506092:0.729380:0.506092:0.712882:0.464980:0.712882:0.000000:0.000000:0.000000:0.000000
b:@0.535188:0.720655:0.544455:0.720655:0.544455:0.704187:0.535188:0.704187:0.000000
2:@0.530844:0.740734:0.539340:0.740734:0.539340:0.724237:0.530844:0.724237:0.000000
a:@0.539995:0.740850:0.548973:0.740850:0.548973:0.724381:0.539995:0.724381:0.000000
.:@0.561208:0.729380:0.563963:0.729380:0.563963:0.712882:0.561208:0.712882:0.000000
  :@0.569338:0.728454:0.577622:0.728454:0.577622:0.711957:0.569338:0.711957:0.000000:0.000000
 :@0.108236:0.762360:0.112378:0.762360:0.112378:0.745862:0.108236:0.745862:0.000000
 Tenemos que :@0.131980:0.762360:0.231957:0.762360:0.231957:0.745862:0.131980:0.745862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.234925:0.762478:0.240955:0.762478:0.240955:0.746009:0.234925:0.746009:0.000000
b:@0.277848:0.753167:0.287114:0.753167:0.287114:0.736698:0.277848:0.736698:0.000000
a:@0.282669:0.773480:0.291647:0.773480:0.291647:0.757011:0.282669:0.757011:0.000000
=−:@0.245343:0.762999:0.270369:0.762999:0.270369:0.746718:0.245343:0.746718:0.000000:0.000000
2:@0.273507:0.773364:0.282003:0.773364:0.282003:0.756866:0.273507:0.756866:0.000000
 es una raíz doble de la ecuación  ( ) = 0.:@0.295600:0.762363:0.587371:0.762363:0.587371:0.745865:0.295600:0.745865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f  x:@0.529209:0.762478:0.551075:0.762478:0.551075:0.746009:0.529209:0.746009:0.000000:0.000000:0.000000:0.000000
 :@0.108226:0.790399:0.112368:0.790399:0.112368:0.773901:0.108226:0.773901:0.000000
Esto se representa gráficamente en la figura 3.7.:@0.131961:0.790399:0.465689:0.790399:0.465689:0.773901:0.131961:0.773901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iii):@0.108226:0.821168:0.126124:0.821168:0.126124:0.804453:0.108226:0.804453:0.000000:0.000000:0.000000:0.000000
  Si   > 0, la ecuación :@0.125738:0.820950:0.278589:0.820950:0.278589:0.804453:0.125738:0.804453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.148471:0.821066:0.157642:0.821066:0.157642:0.804597:0.148471:0.804597:0.000000
x:@0.290223:0.820451:0.297698:0.820451:0.297698:0.803982:0.290223:0.803982:0.000000
+:@0.300067:0.820972:0.310644:0.820972:0.310644:0.804691:0.300067:0.804691:0.000000
b:@0.318234:0.811617:0.327501:0.811617:0.327501:0.795148:0.318234:0.795148:0.000000
2:@0.313880:0.831700:0.322376:0.831700:0.322376:0.815203:0.313880:0.815203:0.000000
a:@0.323051:0.831816:0.332028:0.831816:0.332028:0.815347:0.323051:0.815347:0.000000
2:@0.341214:0.801062:0.346131:0.801062:0.346131:0.791513:0.341214:0.791513:0.000000
=:@0.350846:0.820335:0.361654:0.820335:0.361654:0.803838:0.350846:0.803838:0.000000
d:@0.373714:0.811617:0.382884:0.811617:0.382884:0.795148:0.373714:0.795148:0.000000
4:@0.365912:0.831700:0.374408:0.831700:0.374408:0.815203:0.365912:0.815203:0.000000
a:@0.375082:0.831816:0.384060:0.831816:0.384060:0.815347:0.375082:0.815347:0.000000
2:@0.384194:0.823654:0.389111:0.823654:0.389111:0.814106:0.384194:0.814106:0.000000
 y, por tanto, la ecuación de :@0.397004:0.820958:0.599915:0.820958:0.599915:0.804460:0.397004:0.804460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo grado tiene solución en  . Calculemos la solución. Los :@0.131991:0.851134:0.599981:0.851134:0.599981:0.834637:0.131991:0.834636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.375812:0.850166:0.389722:0.850166:0.389722:0.836719:0.375812:0.836719:0.000000
números reales :@0.131991:0.881310:0.244847:0.881310:0.244847:0.864812:0.131991:0.864812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.275737:0.893567:0.284233:0.893567:0.284233:0.877069:0.275737:0.877069:0.000000
2:@0.294007:0.885531:0.298925:0.885531:0.298925:0.875982:0.294007:0.875982:0.000000
d:@0.283694:0.873370:0.292865:0.873370:0.292865:0.856901:0.283694:0.856901:0.000000
a:@0.284897:0.893683:0.293875:0.893683:0.293875:0.877214:0.284897:0.877214:0.000000
−:@0.249613:0.883202:0.260190:0.883202:0.260190:0.866921:0.249613:0.866921:0.000000
 y :@0.306947:0.881308:0.324863:0.881308:0.324863:0.864810:0.306947:0.864810:0.000000:0.000000:0.000000
4:@0.344192:0.893567:0.352688:0.893567:0.352688:0.877069:0.344192:0.877069:0.000000
2:@0.362462:0.885531:0.367380:0.885531:0.367380:0.875982:0.362462:0.875982:0.000000
d:@0.352150:0.873370:0.361320:0.873370:0.361320:0.856901:0.352150:0.856901:0.000000
a:@0.353352:0.893683:0.362330:0.893683:0.362330:0.877214:0.353352:0.877214:0.000000
 son tales que su cuadrado es :@0.376911:0.881308:0.599941:0.881308:0.599941:0.864811:0.376911:0.864811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.595799:0.881308:0.599941:0.881308:0.599941:0.864811:0.595799:0.864811:0.000000
 :@0.595799:0.881308:0.599941:0.881308:0.599941:0.864811:0.595799:0.864811:0.000000
4:@0.136478:0.936315:0.144974:0.936315:0.144974:0.919818:0.136478:0.919818:0.000000
, esto es  :@0.165637:0.925314:0.228683:0.925314:0.228683:0.908816:0.165637:0.908816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.154748:0.928279:0.159665:0.928279:0.159665:0.918731:0.154748:0.918731:0.000000
d:@0.144435:0.916118:0.153605:0.916118:0.153605:0.899649:0.144435:0.899649:0.000000
a:@0.145638:0.936431:0.154615:0.936431:0.154615:0.919962:0.145638:0.919962:0.000000
d:@0.270076:0.916595:0.279247:0.916595:0.279247:0.900127:0.270076:0.900127:0.000000
4:@0.262274:0.936679:0.270770:0.936679:0.270770:0.920181:0.262274:0.920181:0.000000
a:@0.271444:0.936794:0.280422:0.936794:0.280422:0.920326:0.271444:0.920326:0.000000
2:@0.280547:0.928639:0.285464:0.928639:0.285464:0.919090:0.280547:0.919090:0.000000
2:@0.298346:0.902903:0.303263:0.902903:0.303263:0.893355:0.298346:0.893355:0.000000
=:@0.307979:0.925320:0.318786:0.925320:0.318786:0.908822:0.307979:0.908822:0.000000
d:@0.351383:0.916601:0.360553:0.916601:0.360553:0.900133:0.351383:0.900133:0.000000
4:@0.343581:0.936685:0.352077:0.936685:0.352077:0.920187:0.343581:0.920187:0.000000
a:@0.352751:0.936801:0.361729:0.936801:0.361729:0.920332:0.352751:0.920332:0.000000
2:@0.361848:0.928639:0.366765:0.928639:0.366765:0.919090:0.361848:0.919090:0.000000
=:@0.382056:0.925320:0.392864:0.925320:0.392864:0.908822:0.382056:0.908822:0.000000
d:@0.404924:0.916601:0.414094:0.916601:0.414094:0.900133:0.404924:0.900133:0.000000
4:@0.397121:0.936685:0.405617:0.936685:0.405617:0.920187:0.397121:0.920187:0.000000
a:@0.406292:0.936801:0.415269:0.936801:0.415269:0.920332:0.406292:0.920332:0.000000
2:@0.415403:0.928639:0.420321:0.928639:0.420321:0.919090:0.415403:0.919090:0.000000
.:@0.425193:0.925320:0.427948:0.925320:0.427948:0.908822:0.425193:0.908822:0.000000
a < 0, f(x) < 0:@0.730231:0.440869:0.780263:0.440869:0.780263:0.432286:0.730231:0.432286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.843081:0.359352:0.847051:0.359352:0.847051:0.350768:0.843081:0.350768:0.000000
y:@0.777042:0.311984:0.781140:0.311984:0.781140:0.303400:0.777042:0.303400:0.000000
0:@0.779593:0.357984:0.783957:0.357984:0.783957:0.349401:0.779593:0.349401:0.000000
y = ax + bx + c:@0.791798:0.393634:0.842112:0.393629:0.842112:0.385045:0.791798:0.385051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 :@0.811775:0.390299:0.815319:0.390299:0.815319:0.385295:0.811775:0.385295:0.000000:0.000000
a > 0, f(x) > 0:@0.706325:0.619371:0.756357:0.619371:0.756357:0.610787:0.706325:0.610787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.833558:0.597568:0.837528:0.597568:0.837528:0.588985:0.833558:0.588985:0.000000
y:@0.673729:0.482116:0.677827:0.482116:0.677827:0.473533:0.673729:0.473533:0.000000
0:@0.678182:0.598389:0.682546:0.598389:0.682546:0.589805:0.678182:0.589805:0.000000
y = ax + bx + c:@0.783949:0.564905:0.834245:0.564902:0.834245:0.556318:0.783949:0.556322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 :@0.803908:0.561574:0.807452:0.561574:0.807452:0.556570:0.803908:0.556570:0.000000:0.000000
p:@0.793223:0.640768:0.804704:0.640768:0.804704:0.630744:0.793223:0.630744:0.000000
 :@0.804704:0.641476:0.807585:0.641476:0.807585:0.630000:0.804704:0.630000:0.000000
Figura 3.6.:@0.807585:0.641476:0.856154:0.641476:0.856154:0.630000:0.807585:0.630000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación de segundo grado no tiene :@0.644940:0.282985:0.843110:0.282985:0.843110:0.271508:0.644940:0.271508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución en  .:@0.706776:0.295055:0.778396:0.295055:0.778396:0.283578:0.706776:0.283578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.766803:0.294381:0.776479:0.294381:0.776479:0.285026:0.766803:0.285026:0.000000
y:@0.760114:0.776568:0.764553:0.776568:0.764553:0.767270:0.760114:0.767270:0.000000
x:@0.841992:0.827920:0.846293:0.827920:0.846293:0.818622:0.841992:0.818622:0.000000
y = a  x +       :@0.776387:0.837635:0.831215:0.837635:0.831215:0.828337:0.776387:0.828337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.831220:0.833879:0.834282:0.833879:0.834282:0.827856:0.831220:0.827856:0.000000
a < 0:@0.758350:0.916198:0.779137:0.916198:0.779137:0.906900:0.758350:0.906900:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.818683:0.835558:0.823955:0.835558:0.823955:0.826260:0.818683:0.826260:0.000000
2a:@0.815717:0.842974:0.825598:0.842974:0.825598:0.833676:0.815717:0.833676:0.000000:0.000000
b:@0.733180:0.805192:0.738451:0.805192:0.738451:0.795894:0.733180:0.795894:0.000000
2a:@0.730875:0.812608:0.740756:0.812608:0.740756:0.803310:0.730875:0.803310:0.000000:0.000000
–:@0.722146:0.808009:0.727823:0.808009:0.727823:0.798711:0.722146:0.798711:0.000000
0:@0.763923:0.814833:0.768650:0.814833:0.768650:0.805535:0.763923:0.805535:0.000000
p:@0.793223:0.938448:0.804704:0.938448:0.804704:0.928423:0.793223:0.928423:0.000000
 :@0.804704:0.939155:0.807585:0.939155:0.807585:0.927679:0.804704:0.927679:0.000000
Figura 3.7.:@0.807585:0.939155:0.856154:0.939155:0.856154:0.927679:0.807585:0.927679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación de segundo grado  :@0.666865:0.750248:0.824054:0.750248:0.824054:0.738772:0.666865:0.738772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene una raíz doble.:@0.692784:0.762319:0.792373:0.762319:0.792373:0.750842:0.692784:0.750842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684804:0.096006:0.782426:0.096006:0.782426:0.080533:0.684804:0.080533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.684804:0.108574:0.796762:0.108574:0.796762:0.093101:0.684804:0.093101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende la siguiente :@0.678232:0.133048:0.814697:0.133048:0.814697:0.117985:0.678232:0.117985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simbología matemática::@0.638496:0.148890:0.793269:0.148890:0.793269:0.133827:0.638496:0.133827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,  , :@0.638496:0.171861:0.700501:0.171861:0.700501:0.156798:0.638496:0.156798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.672128:0.171967:0.706886:0.171967:0.706886:0.156930:0.672128:0.156930:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.706710:0.171663:0.721362:0.171663:0.721362:0.158290:0.706710:0.158290:0.000000
R:@0.721187:0.170977:0.733886:0.170977:0.733886:0.158699:0.721187:0.158699:0.000000
 con  ≠ 0.  :@0.733711:0.171861:0.807237:0.171861:0.807237:0.156798:0.733711:0.156798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.765003:0.171967:0.776806:0.171967:0.776806:0.156930:0.765003:0.156930:0.000000:0.000000
El número real  =  – 4   se :@0.638496:0.187703:0.837189:0.187702:0.837189:0.172639:0.638496:0.172640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d  b:@0.735769:0.187809:0.770034:0.187809:0.770034:0.172772:0.735769:0.172772:0.000000:0.000000:0.000000:0.000000
2 :@0.770040:0.181903:0.776767:0.181903:0.776767:0.173121:0.770040:0.173121:0.000000:0.000000
ac:@0.797893:0.187807:0.812546:0.187807:0.812546:0.172771:0.797893:0.172771:0.000000:0.000000
llama discriminante.:@0.638510:0.203544:0.768008:0.203544:0.768008:0.188481:0.638510:0.188481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000