﻿125:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
 :@0.108233:0.096194:0.112375:0.096194:0.112375:0.079697:0.108233:0.079697:0.000000
La raíz cuadrada está bien definida, si y solo si,:@0.131968:0.096194:0.456849:0.096194:0.456849:0.079697:0.131968:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 – 100  ≥ 0   100  ≤ 4     ≤        .:@0.210666:0.130896:0.493330:0.130896:0.493330:0.114398:0.210666:0.114398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.263439:0.137970:0.273536:0.137970:0.273536:0.119834:0.263439:0.119834:0.000000
2:@0.273541:0.124544:0.278494:0.124544:0.278494:0.114926:0.273541:0.114926:0.000000
⇔:@0.310223:0.130113:0.328552:0.130113:0.328552:0.113941:0.310223:0.113941:0.000000
α:@0.358180:0.137970:0.368277:0.137970:0.368277:0.119834:0.358180:0.119834:0.000000
2:@0.368281:0.124544:0.373234:0.124544:0.373234:0.114926:0.368281:0.114926:0.000000
⇔:@0.404963:0.130113:0.423292:0.130113:0.423292:0.113941:0.404963:0.113941:0.000000
α:@0.427435:0.137970:0.437532:0.137970:0.437532:0.119834:0.427435:0.119834:0.000000
2:@0.437535:0.124544:0.442488:0.124544:0.442488:0.114926:0.437535:0.114926:0.000000
 :@0.108236:0.148246:0.112378:0.148246:0.112378:0.131749:0.108236:0.131749:0.000000
Como  >    ,   ≤            ≤     . Para   >      la ecuación no:@0.131971:0.165597:0.573671:0.165597:0.573671:0.149100:0.131971:0.149100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.181123:0.172671:0.191219:0.172671:0.191219:0.154536:0.181123:0.154536:0.000000
α:@0.232718:0.172671:0.242815:0.172671:0.242815:0.154536:0.232718:0.154536:0.000000
2:@0.242820:0.159245:0.247773:0.159245:0.247773:0.149627:0.242820:0.149627:0.000000
⇒:@0.302023:0.164815:0.319384:0.164815:0.319384:0.148643:0.302023:0.148643:0.000000
α:@0.324294:0.172671:0.334390:0.172671:0.334390:0.154536:0.324294:0.154536:0.000000
α:@0.417214:0.172671:0.427311:0.172671:0.427311:0.154536:0.417214:0.154536:0.000000
 :@0.108224:0.197205:0.112366:0.197205:0.112366:0.180707:0.108224:0.180707:0.000000
tiene solución. Consideramos el caso   =      ,:@0.131959:0.197205:0.450606:0.197205:0.450606:0.180707:0.131959:0.180707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.397177:0.204279:0.407273:0.204279:0.407273:0.186143:0.397177:0.186143:0.000000
 :@0.108243:0.260419:0.112385:0.260419:0.112385:0.243921:0.108243:0.243921:0.000000
x:@0.206129:0.260535:0.213604:0.260535:0.213604:0.244066:0.206129:0.244066:0.000000
 =                              =                       = 15   :@0.213604:0.260419:0.513763:0.260418:0.513763:0.243920:0.213604:0.243921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.494967:0.259899:0.509620:0.259899:0.509620:0.246526:0.494967:0.246526:0.000000
ӏ:@0.513762:0.268004:0.518756:0.268004:0.518756:0.249005:0.513762:0.249005:0.000000
.:@0.518764:0.260534:0.521615:0.260534:0.521615:0.244065:0.518764:0.244065:0.000000
 :@0.108241:0.277769:0.112383:0.277769:0.112383:0.261271:0.108241:0.261271:0.000000
 :@0.108241:0.295119:0.112383:0.295119:0.112383:0.278622:0.108241:0.278622:0.000000
Conclusión: la ecuación tiene solución si y solo si   =       y   = 15.:@0.131976:0.295119:0.594574:0.295119:0.594574:0.278622:0.131976:0.278622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.482252:0.302193:0.492349:0.302193:0.492349:0.284058:0.482252:0.284058:0.000000
x:@0.548260:0.295235:0.555735:0.295235:0.555735:0.278766:0.548260:0.278766:0.000000
6.:@0.108241:0.330038:0.120513:0.330038:0.120513:0.313323:0.108241:0.313323:0.000000:0.000000
  Consideremos la ecuación    :@0.120513:0.329821:0.334645:0.329821:0.334645:0.313323:0.120513:0.313323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.334645:0.329937:0.372888:0.329937:0.372888:0.313468:0.334645:0.313468:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.354507:0.333099:0.359460:0.333099:0.359460:0.323481:0.354507:0.323481:0.000000
( ) = :@0.359460:0.329821:0.397933:0.329821:0.397933:0.313323:0.359460:0.313323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.397933:0.329937:0.417796:0.329937:0.417796:0.313468:0.397933:0.313468:0.000000:0.000000:0.000000
2:@0.417794:0.333099:0.422747:0.333099:0.422747:0.323481:0.417794:0.323481:0.000000
(    ),      > 0.:@0.422746:0.329821:0.515836:0.329821:0.515836:0.313323:0.422746:0.313323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.441125:0.329937:0.452742:0.329937:0.452742:0.313468:0.441125:0.313468:0.000000:0.000000
x:@0.478018:0.329937:0.485493:0.329937:0.485493:0.313468:0.478018:0.313468:0.000000
 :@0.108241:0.364522:0.112383:0.364522:0.112383:0.348025:0.108241:0.348025:0.000000
Para estudiar la existencia de soluciones, y, en caso de existir, para :@0.131976:0.364522:0.599972:0.364522:0.599972:0.348025:0.131976:0.348025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hallar la o las soluciones, definimos dos funciones asociadas a esta :@0.131976:0.381873:0.599960:0.381873:0.599960:0.365375:0.131976:0.365375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación::@0.131976:0.399224:0.199058:0.399224:0.199058:0.382726:0.131976:0.382726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.264945:0.433925:0.269087:0.433925:0.269087:0.417428:0.264945:0.417428:0.000000
u x:@0.288680:0.434041:0.311316:0.434041:0.311316:0.417572:0.288680:0.417572:0.000000:0.000000:0.000000
( ) =   :@0.297889:0.433925:0.345607:0.433925:0.345607:0.417428:0.297889:0.417428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.345607:0.434041:0.383854:0.434041:0.383854:0.417572:0.345607:0.417572:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.365474:0.437203:0.370428:0.437203:0.370428:0.427585:0.365474:0.427585:0.000000
( )  ,     > 0,:@0.370426:0.433925:0.451090:0.433925:0.451090:0.417428:0.370426:0.417428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.413272:0.434041:0.420747:0.434041:0.420747:0.417572:0.413272:0.417572:0.000000
 :@0.264950:0.458405:0.269092:0.458405:0.269092:0.441907:0.264950:0.441907:0.000000
v x:@0.288685:0.458521:0.309896:0.458521:0.309896:0.442052:0.288685:0.442052:0.000000:0.000000:0.000000
( ) = :@0.296468:0.458405:0.335902:0.458405:0.335902:0.441907:0.296468:0.441907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.335902:0.458521:0.374145:0.458519:0.374145:0.442051:0.335902:0.442052:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.355765:0.461682:0.360718:0.461682:0.360718:0.452064:0.355765:0.452064:0.000000
( )    ,     > 0.   :@0.360717:0.458404:0.474229:0.458404:0.474229:0.441906:0.360717:0.441906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.411847:0.458519:0.419322:0.458519:0.419322:0.442051:0.411847:0.442051:0.000000
 :@0.108227:0.493105:0.112369:0.493105:0.112369:0.476608:0.108227:0.476608:0.000000
Primeramente, el dominio de la función :@0.131961:0.493105:0.417170:0.493105:0.417170:0.476608:0.131961:0.476608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Log:@0.416958:0.493221:0.440750:0.493221:0.440750:0.476752:0.416958:0.476752:0.000000:0.000000:0.000000
2:@0.440753:0.496383:0.445706:0.496383:0.445706:0.486765:0.440753:0.486765:0.000000
 es el conjunto ]0, ∞[,:@0.445707:0.493105:0.595770:0.493105:0.595770:0.476608:0.445707:0.476608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108237:0.517585:0.112379:0.517585:0.112379:0.501087:0.108237:0.501087:0.000000
con lo que :@0.131971:0.517585:0.211805:0.517585:0.211805:0.501087:0.131971:0.501087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.211805:0.517701:0.231667:0.517701:0.231667:0.501232:0.211805:0.501232:0.000000:0.000000:0.000000
2:@0.231673:0.520862:0.236626:0.520862:0.236626:0.511243:0.231673:0.511243:0.000000
(    ) =     :@0.236625:0.517585:0.303225:0.517585:0.303225:0.501087:0.236625:0.501087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.251151:0.517701:0.262768:0.517701:0.262768:0.501232:0.251151:0.501232:0.000000:0.000000
log x:@0.304188:0.517701:0.342431:0.517701:0.342431:0.501232:0.304188:0.501232:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.324049:0.520862:0.329002:0.520862:0.329002:0.511243:0.324049:0.511243:0.000000
( ) está bien definido si   > 0.:@0.329003:0.517585:0.536120:0.517585:0.536120:0.501087:0.329003:0.501087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.498302:0.517701:0.505777:0.517701:0.505777:0.501232:0.498302:0.501232:0.000000
Luego, ( ) está bien definido si y solo si :@0.131976:0.542063:0.420468:0.542063:0.420468:0.525566:0.131976:0.525566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u x:@0.182085:0.542179:0.204722:0.542179:0.204722:0.525710:0.182085:0.525710:0.000000:0.000000:0.000000
log x:@0.420468:0.542179:0.458711:0.542179:0.458711:0.525710:0.420468:0.525710:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.440329:0.545341:0.445282:0.545341:0.445282:0.535723:0.440329:0.535723:0.000000
( ) ≥ 0.:@0.445283:0.542063:0.495007:0.542063:0.495007:0.525566:0.445283:0.525566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como:@0.131971:0.559414:0.176975:0.559414:0.176975:0.542916:0.131971:0.542916:0.000000:0.000000:0.000000:0.000000
log x:@0.181117:0.559530:0.219364:0.559530:0.219364:0.543061:0.181117:0.543061:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.200984:0.562692:0.205938:0.562692:0.205938:0.553074:0.200984:0.553074:0.000000
( ) ≥ 0     ≥ 1, se sigue que :@0.205936:0.559414:0.410455:0.559414:0.410455:0.542916:0.205936:0.542916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.257046:0.558493:0.274502:0.558493:0.274502:0.543091:0.257046:0.543091:0.000000
x:@0.278644:0.559530:0.286119:0.559530:0.286119:0.543061:0.278644:0.543061:0.000000
Dom u:@0.410455:0.559530:0.460836:0.559530:0.460836:0.543061:0.410455:0.543061:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = [1, ∞[, y siendo:@0.445674:0.559414:0.592165:0.559414:0.592165:0.542916:0.445674:0.542916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108243:0.576765:0.112385:0.576765:0.112385:0.560267:0.108243:0.560267:0.000000
Dom v:@0.131978:0.576880:0.180931:0.576880:0.180931:0.560412:0.131978:0.560412:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = ]0, ∞[, resulta que la ecuación está propuesta en el :@0.167195:0.576765:0.566770:0.576765:0.566770:0.560267:0.167195:0.560267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto:@0.131978:0.594116:0.197343:0.594116:0.197343:0.577618:0.131978:0.577618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108243:0.611466:0.112385:0.611466:0.112385:0.594969:0.108243:0.594969:0.000000
Dom u:@0.203529:0.611582:0.253908:0.611582:0.253908:0.595113:0.203529:0.595113:0.000000:0.000000:0.000000:0.000000:0.000000
( )   :@0.238746:0.611466:0.283491:0.611466:0.283491:0.594969:0.238746:0.594969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.263999:0.611099:0.279349:0.611099:0.279349:0.597088:0.263999:0.597088:0.000000
Dom v:@0.283491:0.611582:0.332444:0.611582:0.332444:0.595113:0.283491:0.595113:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = ]0, ∞[   ]1, ∞[ = ]1, ∞[.:@0.318708:0.611466:0.524221:0.611466:0.524221:0.594969:0.318708:0.594969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.402047:0.611099:0.417397:0.611099:0.417397:0.597088:0.402047:0.597088:0.000000
 :@0.108227:0.646168:0.112369:0.646168:0.112369:0.629670:0.108227:0.629670:0.000000
Nota que   = 1 es una solución, pues::@0.131961:0.646168:0.396525:0.646168:0.396525:0.629670:0.131961:0.629670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.203761:0.646284:0.211236:0.646284:0.211236:0.629815:0.203761:0.629815:0.000000
u:@0.221063:0.670763:0.230272:0.670763:0.230272:0.654294:0.221063:0.654294:0.000000
(1) =   :@0.230272:0.670647:0.278820:0.670647:0.278820:0.654149:0.230272:0.654149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.279206:0.670763:0.299068:0.670763:0.299068:0.654294:0.279206:0.654294:0.000000:0.000000:0.000000
2:@0.299078:0.673924:0.304031:0.673924:0.304031:0.664306:0.299078:0.664306:0.000000
(1)  = 0 = :@0.304032:0.670646:0.375255:0.670646:0.375255:0.654149:0.304032:0.654149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.375255:0.670762:0.395118:0.670762:0.395118:0.654293:0.375255:0.654293:0.000000:0.000000:0.000000
2:@0.395114:0.673924:0.400068:0.673924:0.400068:0.664306:0.395114:0.664306:0.000000
(  1 ) =  (1).:@0.400068:0.670646:0.482928:0.670646:0.482928:0.654149:0.400068:0.654149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.451988:0.670762:0.459771:0.670762:0.459771:0.654293:0.451988:0.654293:0.000000
 :@0.108238:0.705348:0.112380:0.705348:0.112380:0.688850:0.108238:0.688850:0.000000
Pasemos a resolver esta ecuación. Elevando al cuadrado ambos :@0.131973:0.705348:0.599897:0.705348:0.599897:0.688850:0.131973:0.688850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miembros, obtenemos::@0.131973:0.722698:0.295706:0.722698:0.295706:0.706201:0.131973:0.706201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.168326:0.757516:0.206574:0.757516:0.206574:0.741047:0.168326:0.741047:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.188194:0.760678:0.193147:0.760678:0.193147:0.751060:0.188194:0.751060:0.000000
( ) =     :@0.193146:0.757400:0.248187:0.757400:0.248187:0.740902:0.193146:0.740902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.248187:0.757516:0.288461:0.757516:0.288461:0.741047:0.248187:0.741047:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.268048:0.760678:0.273001:0.760678:0.273001:0.751060:0.268048:0.751060:0.000000
2:@0.269631:0.751051:0.274584:0.751051:0.274584:0.741433:0.269631:0.741433:0.000000
( )   :@0.275033:0.757400:0.321026:0.757400:0.321026:0.740902:0.275033:0.740902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.298555:0.756617:0.316884:0.756617:0.316884:0.740445:0.298555:0.740445:0.000000
log x:@0.321026:0.757516:0.359270:0.757516:0.359270:0.741047:0.321026:0.741047:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.340889:0.760678:0.345842:0.760678:0.345842:0.751060:0.340889:0.751060:0.000000
( ) –     :@0.345842:0.757400:0.400575:0.757400:0.400575:0.740902:0.345842:0.740902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.400575:0.757516:0.440849:0.757516:0.440849:0.741047:0.400575:0.741047:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.420436:0.760678:0.425389:0.760678:0.425389:0.751060:0.420436:0.751060:0.000000
2:@0.422019:0.751051:0.426973:0.751051:0.426973:0.741433:0.422019:0.741433:0.000000
( ) = 0,       ≥ 1.:@0.427421:0.757400:0.535673:0.757400:0.535673:0.740902:0.427421:0.740902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.497855:0.757516:0.505330:0.757516:0.505330:0.741047:0.497855:0.741047:0.000000
Sea  = :@0.131970:0.792102:0.187010:0.792102:0.187010:0.775604:0.131970:0.775604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y log x:@0.160232:0.792217:0.225259:0.792217:0.225259:0.775748:0.160232:0.775748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.206878:0.795379:0.211831:0.795379:0.211831:0.785761:0.206878:0.785761:0.000000
( ). La última ecuación se expresa como   –       = 0.:@0.211832:0.792102:0.585342:0.792102:0.585342:0.775604:0.211832:0.775604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.499327:0.792217:0.507014:0.792217:0.507014:0.775748:0.499327:0.775748:0.000000
y:@0.542366:0.792217:0.550052:0.792217:0.550052:0.775748:0.542366:0.775748:0.000000
2:@0.550047:0.785750:0.555001:0.785750:0.555001:0.776132:0.550047:0.776132:0.000000
Tenemos::@0.131973:0.809452:0.199688:0.809452:0.199688:0.792955:0.131973:0.792955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108238:0.839629:0.112380:0.839629:0.112380:0.823131:0.108238:0.823131:0.000000
y:@0.188248:0.839744:0.195934:0.839744:0.195934:0.823276:0.188248:0.823276:0.000000
 –       = 0      1 –         = 0                             .:@0.195934:0.839629:0.539512:0.839627:0.539512:0.823130:0.195934:0.823131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.232249:0.839744:0.239936:0.839744:0.239936:0.823276:0.232249:0.823276:0.000000
2:@0.239922:0.833276:0.244875:0.833276:0.244875:0.823658:0.239922:0.823658:0.000000
⇔:@0.276605:0.838845:0.294933:0.838845:0.294933:0.822673:0.276605:0.822673:0.000000
y:@0.299076:0.839743:0.306762:0.839743:0.306762:0.823274:0.299076:0.823274:0.000000
y:@0.358894:0.839743:0.366581:0.839743:0.366581:0.823274:0.358894:0.823274:0.000000
⇔:@0.406593:0.838845:0.424922:0.838845:0.424922:0.822673:0.406593:0.822673:0.000000
Como  = :@0.131975:0.891680:0.209247:0.891680:0.209247:0.875182:0.131975:0.875182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.181795:0.891795:0.189481:0.891795:0.189481:0.875327:0.181795:0.875327:0.000000
log x y:@0.209922:0.891795:0.269383:0.891795:0.269383:0.875327:0.209922:0.875327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.229792:0.894958:0.234745:0.894958:0.234745:0.885340:0.229792:0.885340:0.000000
( ),   = 0 = :@0.234744:0.891680:0.318085:0.891680:0.318085:0.875182:0.234744:0.875182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.318760:0.891795:0.357012:0.891795:0.357012:0.875327:0.318760:0.875327:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.338630:0.894958:0.343584:0.894958:0.343584:0.885340:0.338630:0.885340:0.000000
( )     = 1 que ya fue obtenida. A :@0.343584:0.891680:0.599895:0.891680:0.599895:0.875182:0.343584:0.875182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.367781:0.890897:0.386110:0.890897:0.386110:0.874725:0.367781:0.874725:0.000000
x:@0.390926:0.891795:0.398401:0.891795:0.398401:0.875327:0.390926:0.875327:0.000000
continuación,   = 4 = :@0.131982:0.909031:0.288166:0.909031:0.288166:0.892533:0.131982:0.892533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.233452:0.909146:0.241139:0.909146:0.241139:0.892677:0.233452:0.892677:0.000000
log x:@0.288281:0.909146:0.326549:0.909146:0.326549:0.892677:0.288281:0.892677:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.308168:0.912308:0.313121:0.912308:0.313121:0.902690:0.308168:0.902690:0.000000
( )     = 2  = 16. Se verifica inmediata-:@0.313122:0.909031:0.595736:0.909031:0.595736:0.892533:0.313122:0.892533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.336766:0.908248:0.355095:0.908248:0.355095:0.892076:0.336766:0.892076:0.000000
x:@0.359352:0.909146:0.366827:0.909146:0.366827:0.892677:0.359352:0.892677:0.000000
4:@0.394664:0.902679:0.399617:0.902679:0.399617:0.893061:0.394664:0.893061:0.000000
mente  (16) =  (16) = 2. Se tienen dos soluciones   = 1 y   = 16.:@0.131985:0.926381:0.586718:0.926381:0.586718:0.909884:0.131985:0.909884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.182479:0.926497:0.191688:0.926497:0.191688:0.910028:0.182479:0.910028:0.000000
v:@0.239677:0.926497:0.247461:0.926497:0.247461:0.910028:0.239677:0.910028:0.000000
x:@0.489236:0.926497:0.496711:0.926497:0.496711:0.910028:0.489236:0.910028:0.000000
x:@0.540404:0.926497:0.547879:0.926497:0.547879:0.910028:0.540404:0.910028:0.000000
4:@0.472008:0.123637:0.480504:0.123637:0.480504:0.107140:0.472008:0.107140:0.000000
100:@0.463319:0.139976:0.489193:0.139976:0.489193:0.123478:0.463319:0.123478:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.684804:0.174911:0.831589:0.174911:0.831589:0.159439:0.684804:0.159439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y Música:@0.685042:0.203963:0.835083:0.203963:0.835083:0.188490:0.685042:0.188490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué tiene que ver la matemáti-:@0.638498:0.219382:0.846659:0.219382:0.846659:0.204319:0.638498:0.204319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ca con la música?:@0.638498:0.235224:0.751004:0.235224:0.751004:0.220161:0.638498:0.220161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pues en realidad, mucho. :@0.638498:0.258195:0.802770:0.258195:0.802770:0.243132:0.638498:0.243132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El uso de logaritmos en la músi-:@0.638498:0.274037:0.844509:0.274037:0.844509:0.258974:0.638498:0.258974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ca permite hallar las vibraciones :@0.638498:0.289879:0.848189:0.289879:0.848189:0.274816:0.638498:0.274816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las tonalidades musicales, :@0.638498:0.305721:0.827134:0.305721:0.827134:0.290658:0.638498:0.290658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pero para hallar estas vibracio-:@0.638498:0.321563:0.835452:0.321563:0.835452:0.306500:0.638498:0.306500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes, siempre tiene que estar el :@0.638498:0.337405:0.836050:0.337405:0.836050:0.322342:0.638498:0.322342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logaritmo en base dos.:@0.638498:0.353247:0.784879:0.353247:0.784879:0.338184:0.638498:0.338184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.638503:0.503520:0.649984:0.503520:0.649984:0.493496:0.638503:0.493496:0.000000
 :@0.649984:0.504228:0.652865:0.504228:0.652865:0.492751:0.649984:0.492751:0.000000
Altavoces y sonido.:@0.652865:0.504228:0.748205:0.504228:0.748205:0.492751:0.652865:0.492751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.684804:0.614808:0.827156:0.614808:0.827156:0.599336:0.684804:0.599336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para calcular cualquier :@0.685042:0.643436:0.833538:0.643436:0.833538:0.628373:0.685042:0.628373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logaritmo o resolver una ecua-:@0.638498:0.659278:0.836349:0.659278:0.836349:0.644215:0.638498:0.644215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción logarítmica, puedes utilizar :@0.638498:0.675120:0.848379:0.675120:0.848379:0.660057:0.638498:0.660057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las calculadoras científicas o :@0.638498:0.690962:0.823559:0.690962:0.823559:0.675899:0.638498:0.675899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciertos :@0.638498:0.706804:0.685429:0.706804:0.685429:0.691741:0.638498:0.691741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
softwares:@0.685429:0.706909:0.745250:0.706909:0.745250:0.691873:0.685429:0.691873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. En el siguiente :@0.745252:0.706804:0.847399:0.706804:0.847399:0.691741:0.745252:0.691741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace puedes :@0.638498:0.722646:0.734432:0.722646:0.734432:0.707583:0.638498:0.707583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acceder:@0.734432:0.722844:0.786622:0.722844:0.786622:0.707583:0.734432:0.707583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a una :@0.786624:0.722646:0.829737:0.722646:0.829737:0.707583:0.786624:0.707583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculadora para ecuaciones :@0.638498:0.738488:0.824949:0.738488:0.824949:0.723425:0.638498:0.723425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logarítmicas: :@0.638498:0.754330:0.723757:0.754330:0.723757:0.739267:0.638498:0.739267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/13m10:@0.723757:0.754660:0.821644:0.754660:0.821644:0.739346:0.723757:0.739346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.213534:0.158021:0.222030:0.158021:0.222030:0.141523:0.213534:0.141523:0.000000
5:@0.213534:0.174359:0.222030:0.174359:0.222030:0.157862:0.213534:0.157862:0.000000
2:@0.360571:0.158021:0.369067:0.158021:0.369067:0.141523:0.360571:0.141523:0.000000
10:@0.356236:0.174359:0.373421:0.174359:0.373421:0.157862:0.356236:0.157862:0.000000:0.000000
2:@0.450401:0.158021:0.458897:0.158021:0.458897:0.141523:0.450401:0.141523:0.000000
10:@0.446066:0.174359:0.463251:0.174359:0.463251:0.157862:0.446066:0.157862:0.000000:0.000000
2:@0.432792:0.189344:0.441288:0.189344:0.441288:0.172846:0.432792:0.172846:0.000000
10:@0.428458:0.205682:0.445642:0.205682:0.445642:0.189185:0.428458:0.189185:0.000000:0.000000
4:@0.276124:0.158021:0.284620:0.158021:0.284620:0.141523:0.276124:0.141523:0.000000
100:@0.267435:0.174359:0.293309:0.174359:0.293309:0.157862:0.267435:0.157862:0.000000:0.000000:0.000000
 2:@0.284728:0.270767:0.297366:0.270767:0.297366:0.254269:0.284728:0.254269:0.000000:0.000000
 2:@0.404035:0.270767:0.416673:0.270767:0.416673:0.254269:0.404035:0.254269:0.000000:0.000000
2:@0.315819:0.220451:0.324315:0.220451:0.324315:0.203953:0.315819:0.203953:0.000000
 :@0.316192:0.243367:0.320062:0.243367:0.320062:0.225231:0.316192:0.225231:0.000000
– 200 +      :@0.236937:0.227933:0.296158:0.227933:0.296158:0.211435:0.236937:0.211435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– 20 +      :@0.371196:0.246108:0.427990:0.246108:0.427990:0.229610:0.371196:0.229610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.314829:0.237934:0.323325:0.237934:0.323325:0.221436:0.314829:0.221436:0.000000
10:@0.310494:0.254272:0.327679:0.254272:0.327679:0.237774:0.310494:0.237774:0.000000:0.000000
200:@0.422190:0.238291:0.448063:0.238291:0.448063:0.221793:0.422190:0.221793:0.000000:0.000000:0.000000
4:@0.430878:0.254629:0.439374:0.254629:0.439374:0.238132:0.430878:0.238132:0.000000
2:@0.334233:0.230324:0.339186:0.230324:0.339186:0.220706:0.334233:0.220706:0.000000
2:@0.516224:0.287760:0.524720:0.287760:0.524720:0.271263:0.516224:0.271263:0.000000
10:@0.511890:0.304099:0.529074:0.304099:0.529074:0.287601:0.511890:0.287601:0.000000:0.000000
1:@0.289578:0.510013:0.298074:0.510013:0.298074:0.493516:0.289578:0.493516:0.000000
2:@0.289578:0.526352:0.298074:0.526352:0.298074:0.509854:0.289578:0.509854:0.000000
1:@0.235034:0.749842:0.243530:0.749842:0.243530:0.733345:0.235034:0.733345:0.000000
4:@0.235034:0.766181:0.243530:0.766181:0.243530:0.749683:0.235034:0.749683:0.000000
1:@0.386768:0.749842:0.395264:0.749842:0.395264:0.733345:0.386768:0.733345:0.000000
4:@0.386768:0.766181:0.395264:0.766181:0.395264:0.749683:0.386768:0.749683:0.000000
1:@0.528517:0.784760:0.537013:0.784760:0.537013:0.768262:0.528517:0.768262:0.000000
4:@0.528517:0.801099:0.537013:0.801099:0.537013:0.784601:0.528517:0.784601:0.000000
1:@0.218216:0.831944:0.226712:0.831944:0.226712:0.815446:0.218216:0.815446:0.000000
4:@0.218216:0.848283:0.226712:0.848283:0.226712:0.831785:0.218216:0.831785:0.000000
1:@0.344820:0.832055:0.353316:0.832055:0.353316:0.815557:0.344820:0.815557:0.000000
4:@0.344820:0.848393:0.353316:0.848393:0.353316:0.831896:0.344820:0.831896:0.000000
 :@0.353413:0.855474:0.357283:0.855474:0.357283:0.837338:0.353413:0.837338:0.000000
y:@0.449181:0.825389:0.456868:0.825389:0.456868:0.808920:0.449181:0.808920:0.000000
 = 0,  o:@0.456868:0.825273:0.505031:0.825273:0.505031:0.808775:0.456868:0.808775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 –     y = 0:@0.449181:0.849752:0.528438:0.849752:0.528438:0.833254:0.449181:0.833254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.478712:0.842421:0.487208:0.842421:0.487208:0.825924:0.478712:0.825924:0.000000
4:@0.478712:0.858760:0.487208:0.858760:0.487208:0.842262:0.478712:0.842262:0.000000
Shutterstock, 80486173:@0.871305:0.487427:0.871305:0.422580:0.859836:0.422580:0.859836:0.487427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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