38:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Las ecuaciones de segundo grado con una incógnita se expresan como un polinomio cuadrático iguala-:@0.115891:0.166988:0.880564:0.166988:0.880564:0.150600:0.115891:0.150600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do a cero: :@0.115891:0.183585:0.191591:0.183585:0.191591:0.167196:0.115891:0.167196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.191591:0.183585:0.208324:0.183585:0.208324:0.167224:0.191591:0.167224:0.000000:0.000000
2:@0.208322:0.177537:0.213565:0.177537:0.213565:0.167983:0.208322:0.167983:0.000000
 +   +   = 0;    ≠0:@0.213565:0.183585:0.348511:0.183585:0.348511:0.167196:0.213565:0.167196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.232620:0.183585:0.249186:0.183585:0.249186:0.167224:0.232620:0.167224:0.000000:0.000000
c:@0.268240:0.183585:0.275906:0.183585:0.275906:0.167224:0.268240:0.167224:0.000000
a:@0.315231:0.183585:0.324500:0.183585:0.324500:0.167224:0.315231:0.167224:0.000000
Dónde:  ,  ,   son los coeficientes numéricos o literales y   la incógnita. Por ser una ecuación de segundo :@0.115899:0.207304:0.884663:0.207304:0.884663:0.190915:0.115899:0.190915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.173688:0.207304:0.214118:0.207304:0.214118:0.190943:0.173688:0.190943:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.532380:0.207304:0.539843:0.207304:0.539843:0.190943:0.532380:0.190943:0.000000
grado tiene dos soluciones o dos raíces.:@0.115899:0.223900:0.406739:0.223900:0.406739:0.207511:0.115899:0.207511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de las raíces:@0.115209:0.750951:0.368547:0.750951:0.368547:0.729441:0.115209:0.729441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En toda ecuación cuadrática, en la que el coeficiente del primer término es la unidad, se cumple::@0.115209:0.770167:0.821310:0.770167:0.821310:0.753778:0.115209:0.753778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.115209:0.793886:0.129288:0.793886:0.129288:0.776986:0.115209:0.776986:0.000000:0.000000:0.000000
La suma de las raíces es igual al coeficiente de   con el signo cambiado, dividido para el primer :@0.148452:0.793886:0.883990:0.793886:0.883990:0.777497:0.148452:0.777497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.511164:0.793886:0.518627:0.793886:0.518627:0.777525:0.511164:0.777525:0.000000
 :@0.879901:0.793886:0.883936:0.793886:0.883936:0.777497:0.879901:0.777497:0.000000
coeficiente.:@0.148452:0.810483:0.232757:0.810483:0.232757:0.794094:0.148452:0.794094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115209:0.853274:0.119023:0.853274:0.119023:0.836373:0.115209:0.836373:0.000000
–:@0.236243:0.839450:0.245457:0.839450:0.245457:0.823061:0.236243:0.823061:0.000000
1:@0.184572:0.841453:0.189784:0.841453:0.189784:0.831955:0.184572:0.831955:0.000000
2:@0.213525:0.841453:0.218736:0.841453:0.218736:0.831955:0.213525:0.831955:0.000000
=:@0.162951:0.840127:0.173068:0.840127:0.173068:0.824554:0.162951:0.824554:0.000000
+:@0.191754:0.840127:0.201871:0.840127:0.201871:0.824554:0.191754:0.824554:0.000000
=:@0.223210:0.840127:0.233327:0.840127:0.233327:0.824554:0.223210:0.824554:0.000000
Sx:@0.151434:0.839450:0.184549:0.839450:0.184549:0.823088:0.151434:0.823088:0.000000:0.000000
x:@0.205353:0.839450:0.212817:0.839450:0.212817:0.823088:0.205353:0.823088:0.000000
b:@0.248548:0.830930:0.257817:0.830930:0.257817:0.814569:0.248548:0.814569:0.000000
a:@0.248756:0.850373:0.258025:0.850373:0.258025:0.834012:0.248756:0.834012:0.000000
 ii) :@0.115209:0.873441:0.137820:0.873441:0.137820:0.856540:0.115209:0.856540:0.000000:0.000000:0.000000:0.000000:0.000000
El producto de las raíces es igual al término independiente, dividido para el primer coeficiente.:@0.148452:0.873441:0.838951:0.873441:0.838951:0.857052:0.148452:0.857052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115209:0.916232:0.119023:0.916232:0.119023:0.899331:0.115209:0.899331:0.000000
1:@0.185358:0.904406:0.190569:0.904406:0.190569:0.894908:0.185358:0.894908:0.000000
2:@0.208554:0.904406:0.213766:0.904406:0.213766:0.894908:0.208554:0.894908:0.000000
=:@0.163737:0.903080:0.173854:0.903080:0.173854:0.887507:0.163737:0.887507:0.000000
⋅:@0.192539:0.903080:0.197146:0.903080:0.197146:0.887507:0.192539:0.887507:0.000000
=:@0.218228:0.903080:0.228344:0.903080:0.228344:0.887507:0.218228:0.887507:0.000000
Px x:@0.151059:0.902403:0.207834:0.902403:0.207834:0.886041:0.151059:0.886041:0.000000:0.000000:0.000000:0.000000
c:@0.233301:0.893883:0.240967:0.893883:0.240967:0.877522:0.233301:0.877522:0.000000
a:@0.232735:0.913325:0.242004:0.913325:0.242004:0.896964:0.232735:0.896964:0.000000
Ecuaciones de segundo grado:@0.115891:0.141978:0.552776:0.141978:0.552776:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.26. Aplicar las propiedades de las raíces de la ecuación de segundo grado en la factorización de una función cuadrática.:@0.125388:0.074999:0.708148:0.074999:0.708148:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.048475:0.122645:0.082036:0.122645:0.082036:0.065614:0.048475:0.065614:0.000000:0.000000
Formas de resolver una ecuación de segundo grado:@0.293285:0.254249:0.701966:0.254249:0.701966:0.237348:0.293285:0.237348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones incompletas:@0.402432:0.280084:0.592824:0.280084:0.592824:0.263183:0.402432:0.263183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si:@0.125091:0.322843:0.137364:0.322843:0.137364:0.306455:0.125091:0.306455:0.000000:0.000000
,:@0.137290:0.322843:0.140496:0.322843:0.140496:0.306455:0.137290:0.306455:0.000000
0:@0.166756:0.322843:0.175749:0.322843:0.175749:0.306455:0.166756:0.306455:0.000000
–:@0.153304:0.345442:0.162518:0.345442:0.162518:0.329053:0.153304:0.329053:0.000000
0:@0.189164:0.345442:0.198157:0.345442:0.198157:0.329053:0.189164:0.329053:0.000000
2:@0.143780:0.337774:0.148992:0.337774:0.148992:0.328276:0.143780:0.328276:0.000000
=:@0.154094:0.323521:0.164211:0.323521:0.164211:0.307948:0.154094:0.307948:0.000000
=:@0.176502:0.346120:0.186619:0.346120:0.186619:0.330547:0.176502:0.330547:0.000000
=±:@0.138081:0.378372:0.160452:0.378372:0.160452:0.362799:0.138081:0.362799:0.000000:0.000000
b:@0.141843:0.322843:0.151112:0.322843:0.151112:0.306482:0.141843:0.306482:0.000000
ax:@0.125458:0.345435:0.142135:0.345435:0.142135:0.329073:0.125458:0.329073:0.000000:0.000000
c:@0.165409:0.345435:0.173075:0.345435:0.173075:0.329073:0.165409:0.329073:0.000000
x:@0.126564:0.377687:0.134027:0.377687:0.134027:0.361326:0.126564:0.361326:0.000000
c:@0.175194:0.369167:0.182860:0.369167:0.182860:0.352806:0.175194:0.352806:0.000000
a:@0.174623:0.388613:0.183892:0.388613:0.183892:0.372252:0.174623:0.372252:0.000000
,:@0.393062:0.304663:0.396269:0.304663:0.396269:0.288274:0.393062:0.288274:0.000000
0:@0.421754:0.304663:0.430747:0.304663:0.430747:0.288274:0.421754:0.288274:0.000000
0:@0.452324:0.327255:0.461317:0.327255:0.461317:0.310866:0.452324:0.310866:0.000000
0:@0.460856:0.348983:0.469849:0.348983:0.469849:0.332594:0.460856:0.332594:0.000000
0:@0.405002:0.371028:0.413994:0.371028:0.413994:0.354639:0.405002:0.354639:0.000000
–:@0.406826:0.391774:0.416040:0.391774:0.416040:0.375385:0.406826:0.375385:0.000000
2:@0.398036:0.319594:0.403248:0.319594:0.403248:0.310096:0.398036:0.310096:0.000000
(:@0.390759:0.352116:0.396895:0.352116:0.396895:0.332182:0.390759:0.332182:0.000000
):@0.439389:0.352116:0.445526:0.352116:0.445526:0.332182:0.439389:0.332182:0.000000
=:@0.409081:0.305341:0.419198:0.305341:0.419198:0.289768:0.409081:0.289768:0.000000
+:@0.406779:0.327933:0.416896:0.327933:0.416896:0.312360:0.406779:0.312360:0.000000
=:@0.439654:0.327933:0.449771:0.327933:0.449771:0.312360:0.439654:0.312360:0.000000
+:@0.417353:0.349660:0.427470:0.349660:0.427470:0.334088:0.417353:0.334088:0.000000
=:@0.448183:0.349660:0.458300:0.349660:0.458300:0.334088:0.448183:0.334088:0.000000
=:@0.392329:0.371703:0.402445:0.371703:0.402445:0.356131:0.392329:0.356131:0.000000
=:@0.392329:0.400968:0.402445:0.400968:0.402445:0.385395:0.392329:0.385395:0.000000
Si c:@0.379712:0.304663:0.405640:0.304663:0.405640:0.288302:0.379712:0.288302:0.000000:0.000000:0.000000:0.000000
ax:@0.379712:0.327255:0.396389:0.327255:0.396389:0.310894:0.379712:0.310894:0.000000:0.000000
bx:@0.418926:0.327255:0.435603:0.327255:0.435603:0.310894:0.418926:0.310894:0.000000:0.000000
xaxb:@0.380818:0.348983:0.438773:0.348983:0.438773:0.332621:0.380818:0.332621:0.000000:0.000000:0.000000:0.000000
x:@0.380818:0.371028:0.388281:0.371028:0.388281:0.354667:0.380818:0.354667:0.000000
x:@0.380818:0.400293:0.388281:0.400293:0.388281:0.383932:0.380818:0.383932:0.000000
b:@0.416365:0.391774:0.425634:0.391774:0.425634:0.375412:0.416365:0.375412:0.000000
a:@0.411594:0.411219:0.420863:0.411219:0.420863:0.394858:0.411594:0.394858:0.000000
,:@0.647687:0.322529:0.650893:0.322529:0.650893:0.306140:0.647687:0.306140:0.000000
0:@0.701293:0.322529:0.710286:0.322529:0.710286:0.306140:0.701293:0.306140:0.000000
0:@0.675015:0.345120:0.684008:0.345120:0.684008:0.328731:0.675015:0.328731:0.000000
0:@0.675015:0.367719:0.684008:0.367719:0.684008:0.351330:0.675015:0.351330:0.000000
0:@0.695691:0.388465:0.704684:0.388465:0.704684:0.372076:0.695691:0.372076:0.000000
2:@0.652661:0.337459:0.657872:0.337459:0.657872:0.327961:0.652661:0.327961:0.000000
2:@0.652661:0.360054:0.657872:0.360054:0.657872:0.350556:0.652661:0.350556:0.000000
1:@0.642921:0.390464:0.648133:0.390464:0.648133:0.380966:0.642921:0.380966:0.000000
2:@0.673337:0.390464:0.678548:0.390464:0.678548:0.380966:0.673337:0.380966:0.000000
==:@0.664493:0.323207:0.698750:0.323207:0.698750:0.307634:0.664493:0.307634:0.000000:0.000000
=:@0.662355:0.345806:0.672472:0.345806:0.672472:0.330233:0.662355:0.330233:0.000000
=:@0.662355:0.368404:0.672472:0.368404:0.672472:0.352831:0.662355:0.352831:0.000000
=:@0.651038:0.389136:0.629164:0.389136:0.629164:0.373563:0.651038:0.373563:0.000000
=:@0.683028:0.389136:0.661154:0.389136:0.661154:0.373563:0.683028:0.373563:0.000000
Si bc:@0.634342:0.322529:0.685202:0.322529:0.685202:0.306168:0.634342:0.306168:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.634339:0.345120:0.651016:0.345120:0.651016:0.328759:0.634339:0.328759:0.000000:0.000000
ax:@0.634339:0.367719:0.651016:0.367719:0.651016:0.351358:0.634339:0.351358:0.000000:0.000000
x:@0.635444:0.388465:0.642908:0.388465:0.642908:0.372103:0.635444:0.372103:0.000000
x:@0.665187:0.388465:0.672650:0.388465:0.672650:0.372103:0.665187:0.372103:0.000000
Por factorización:@0.175914:0.445183:0.309918:0.445183:0.309918:0.428282:0.175914:0.428282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.580270:0.444499:0.589484:0.444499:0.589484:0.428829:0.580270:0.428829:0.000000
2:@0.455465:0.436836:0.460677:0.436836:0.460677:0.427755:0.455465:0.427755:0.000000
1:@0.600950:0.446503:0.606161:0.446503:0.606161:0.437421:0.600950:0.437421:0.000000
2:@0.654188:0.446503:0.659399:0.446503:0.659399:0.437421:0.654188:0.437421:0.000000
( ):@0.388140:0.447630:0.411343:0.447630:0.411343:0.427697:0.388140:0.427697:0.000000:0.000000:0.000000
(:@0.561010:0.447630:0.567147:0.447630:0.567147:0.427697:0.561010:0.427697:0.000000
)(:@0.606713:0.447630:0.620073:0.447630:0.620073:0.427697:0.606713:0.427697:0.000000:0.000000
):@0.661524:0.447630:0.667660:0.447630:0.667660:0.427697:0.661524:0.427697:0.000000
=:@0.414003:0.445176:0.385956:0.445176:0.385956:0.429603:0.414003:0.429603:0.000000
+⎜:@0.464211:0.445176:0.444375:0.446434:0.444375:0.430861:0.464211:0.429603:0.000000:0.000000
+:@0.502374:0.445176:0.474328:0.445176:0.474328:0.429603:0.502374:0.429603:0.000000
⎛:@0.437295:0.435550:0.444372:0.435550:0.444372:0.419978:0.437295:0.419978:0.000000
⎝:@0.437299:0.455706:0.444375:0.455706:0.444375:0.440133:0.437299:0.440133:0.000000
⎞:@0.528073:0.435549:0.535149:0.435549:0.535149:0.419976:0.528073:0.419976:0.000000
⎠:@0.528075:0.455706:0.535151:0.455706:0.535151:0.440133:0.528075:0.440133:0.000000
⎟=:@0.528075:0.446434:0.452282:0.445176:0.452282:0.429603:0.528075:0.430861:0.000000:0.000000
+:@0.632412:0.445176:0.547406:0.445176:0.547406:0.429603:0.632412:0.429603:0.000000
f x:@0.379345:0.444499:0.403508:0.444499:0.403508:0.429106:0.379345:0.429106:0.000000:0.000000:0.000000
ax:@0.427036:0.444499:0.453812:0.444499:0.453812:0.429106:0.427036:0.429106:0.000000:0.000000
b:@0.477970:0.435979:0.487239:0.435979:0.487239:0.420586:0.477970:0.420586:0.000000
a:@0.478186:0.455422:0.487455:0.455422:0.487455:0.440029:0.478186:0.440029:0.000000
x:@0.491798:0.444499:0.499261:0.444499:0.499261:0.429106:0.491798:0.429106:0.000000
c:@0.516933:0.435979:0.524599:0.435979:0.524599:0.420586:0.516933:0.420586:0.000000
a:@0.516348:0.455422:0.525617:0.455422:0.525617:0.440029:0.516348:0.440029:0.000000
a x x:@0.550325:0.444499:0.600926:0.444499:0.600926:0.429106:0.550325:0.429106:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.621838:0.444499:0.653487:0.444499:0.653487:0.429106:0.621838:0.429106:0.000000:0.000000:0.000000
Por la fórmula general:@0.155011:0.493009:0.330788:0.493009:0.330788:0.476108:0.155011:0.476108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.406831:0.486811:0.416045:0.486811:0.416045:0.470422:0.406831:0.470422:0.000000
– 4:@0.471696:0.486811:0.493146:0.486811:0.493146:0.470422:0.471696:0.470422:0.000000:0.000000:0.000000
2:@0.450439:0.506260:0.459432:0.506260:0.459432:0.489871:0.450439:0.489871:0.000000
2:@0.462166:0.479149:0.467378:0.479149:0.467378:0.469651:0.462166:0.469651:0.000000
=:@0.392329:0.496015:0.402445:0.496015:0.402445:0.480442:0.392329:0.480442:0.000000
±:@0.427673:0.487496:0.437790:0.487496:0.437790:0.471923:0.427673:0.471923:0.000000
x:@0.380811:0.495338:0.388274:0.495338:0.388274:0.478976:0.380811:0.478976:0.000000
b:@0.416358:0.486818:0.425627:0.486818:0.425627:0.470457:0.416358:0.470457:0.000000
b:@0.452329:0.486818:0.461598:0.486818:0.461598:0.470457:0.452329:0.470457:0.000000
ac:@0.494049:0.486818:0.510929:0.486818:0.510929:0.470457:0.494049:0.470457:0.000000:0.000000
a:@0.459601:0.506260:0.468870:0.506260:0.468870:0.489899:0.459601:0.489899:0.000000
Análisis del discriminante para la solución de una ecuación de segundo grado:@0.190626:0.530293:0.804632:0.530293:0.804632:0.513392:0.190626:0.513392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Discriminante:@0.187328:0.619236:0.298481:0.619236:0.298481:0.602335:0.187328:0.602335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–4:@0.254495:0.643776:0.275945:0.643776:0.275945:0.628106:0.254495:0.628106:0.000000:0.000000
2:@0.244968:0.636115:0.250179:0.636115:0.250179:0.627033:0.244968:0.627033:0.000000
ΔΔ ==:@0.181413:0.644454:0.232586:0.644454:0.232586:0.628881:0.181413:0.628881:0.000000:0.000000:0.000000:0.000000:0.000000
d b:@0.209423:0.643776:0.244396:0.643776:0.244396:0.628383:0.209423:0.628383:0.000000:0.000000:0.000000
ac:@0.276851:0.643776:0.293731:0.643776:0.293731:0.628383:0.276851:0.628383:0.000000:0.000000
d:@0.383708:0.571021:0.392977:0.571021:0.392977:0.554660:0.383708:0.554660:0.000000
 < 0:@0.392977:0.571021:0.421024:0.571021:0.421024:0.554632:0.392977:0.554632:0.000000:0.000000:0.000000:0.000000
No tiene solución en los números reales:@0.510877:0.553871:0.803320:0.553871:0.803320:0.537482:0.510877:0.537482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.631596:0.580984:0.644901:0.580984:0.644901:0.564235:0.631596:0.564235:0.000000
0:@0.696720:0.580112:0.705712:0.580112:0.705712:0.563723:0.696720:0.563723:0.000000
{:@0.593014:0.584818:0.601859:0.584818:0.601859:0.561770:0.593014:0.561770:0.000000
}:@0.705459:0.584818:0.714305:0.584818:0.714305:0.561770:0.705459:0.561770:0.000000
():@0.658191:0.583244:0.681391:0.583244:0.681391:0.563311:0.658191:0.563311:0.000000:0.000000
=:@0.581130:0.580790:0.591247:0.580790:0.591247:0.565217:0.581130:0.565217:0.000000
∈:@0.615110:0.580790:0.628249:0.580790:0.628249:0.565217:0.615110:0.565217:0.000000
=:@0.684051:0.580790:0.694168:0.580790:0.694168:0.565217:0.684051:0.565217:0.000000
=∅:@0.716558:0.580790:0.744397:0.580790:0.744397:0.565217:0.716558:0.565217:0.000000:0.000000
S:@0.569611:0.580112:0.577682:0.580112:0.577682:0.563751:0.569611:0.563751:0.000000
x:@0.603223:0.580112:0.610686:0.580112:0.610686:0.563751:0.603223:0.563751:0.000000
fx:@0.649402:0.580112:0.673561:0.580112:0.673561:0.563751:0.649402:0.563751:0.000000:0.000000
d :@0.384081:0.632432:0.396667:0.632432:0.396667:0.616071:0.384081:0.616071:0.000000:0.000000
= 0:@0.396667:0.632432:0.420679:0.632432:0.420679:0.616044:0.396667:0.616044:0.000000:0.000000:0.000000
La solución es una raíz doble:@0.551773:0.608603:0.762456:0.608603:0.762456:0.592214:0.551773:0.592214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.583679:0.642767:0.596984:0.642767:0.596984:0.626019:0.583679:0.626019:0.000000
0:@0.697120:0.641896:0.706113:0.641896:0.706113:0.626226:0.697120:0.626226:0.000000
–:@0.739153:0.641896:0.748367:0.641896:0.748367:0.626226:0.739153:0.626226:0.000000
2:@0.751306:0.652820:0.760298:0.652820:0.760298:0.637150:0.751306:0.637150:0.000000
2:@0.620168:0.634235:0.625380:0.634235:0.625380:0.625154:0.620168:0.625154:0.000000
{:@0.545097:0.647690:0.393161:0.647690:0.393161:0.622618:0.545097:0.622618:0.000000
}:@0.705869:0.647690:0.553933:0.647690:0.553933:0.622618:0.705869:0.622618:0.000000
=:@0.533213:0.642574:0.543330:0.642574:0.543330:0.627001:0.533213:0.627001:0.000000
∈:@0.567193:0.642574:0.580332:0.642574:0.580332:0.627001:0.567193:0.627001:0.000000
+:@0.628908:0.642574:0.639024:0.642574:0.639024:0.627001:0.628908:0.627001:0.000000
+ =:@0.660845:0.642574:0.694574:0.642574:0.694574:0.627001:0.660845:0.627001:0.000000:0.000000:0.000000
=⎨:@0.716971:0.642574:0.738736:0.642850:0.738736:0.627278:0.716971:0.627001:0.000000:0.000000
⎧:@0.729633:0.632948:0.738736:0.632948:0.738736:0.617375:0.729633:0.617375:0.000000
⎩:@0.729635:0.653104:0.738738:0.653104:0.738738:0.637531:0.729635:0.637531:0.000000
⎫:@0.771831:0.632948:0.780934:0.632948:0.780934:0.617375:0.771831:0.617375:0.000000
⎬:@0.771831:0.642850:0.780934:0.642850:0.780934:0.627278:0.771831:0.627278:0.000000
⎭:@0.771831:0.653104:0.780934:0.653104:0.780934:0.637531:0.771831:0.637531:0.000000
S:@0.521696:0.641896:0.529767:0.641896:0.529767:0.626503:0.521696:0.626503:0.000000
x:@0.555306:0.641896:0.562769:0.641896:0.562769:0.626503:0.555306:0.626503:0.000000
ax:@0.601847:0.641896:0.618524:0.641896:0.618524:0.626503:0.601847:0.626503:0.000000:0.000000
bx c:@0.641057:0.641896:0.681023:0.641896:0.681023:0.626503:0.641057:0.626503:0.000000:0.000000:0.000000:0.000000
b:@0.755856:0.633377:0.765125:0.633377:0.765125:0.617984:0.755856:0.617984:0.000000
a:@0.760469:0.652820:0.769738:0.652820:0.769738:0.637426:0.760469:0.637426:0.000000
d:@0.383708:0.694807:0.392977:0.694807:0.392977:0.678446:0.383708:0.678446:0.000000
 > 0:@0.392977:0.694807:0.421024:0.694807:0.421024:0.678418:0.392977:0.678418:0.000000:0.000000:0.000000:0.000000
Tiene solución dos soluciones reales:@0.524477:0.676703:0.789702:0.676703:0.789702:0.660314:0.524477:0.660314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.588878:0.705072:0.602183:0.705072:0.602183:0.688323:0.588878:0.688323:0.000000
0:@0.702323:0.704200:0.711316:0.704200:0.711316:0.687812:0.702323:0.687812:0.000000
,:@0.757496:0.704200:0.760702:0.704200:0.760702:0.687812:0.757496:0.687812:0.000000
2:@0.625366:0.696539:0.630578:0.696539:0.630578:0.687041:0.625366:0.687041:0.000000
1:@0.751743:0.706204:0.756955:0.706204:0.756955:0.696706:0.751743:0.696706:0.000000
2:@0.771692:0.706204:0.776904:0.706204:0.776904:0.696706:0.771692:0.696706:0.000000
{:@0.550295:0.709994:0.559141:0.709994:0.559141:0.684922:0.550295:0.684922:0.000000
}:@0.711058:0.709994:0.719903:0.709994:0.719903:0.684922:0.711058:0.684922:0.000000
{:@0.734047:0.706645:0.742893:0.706645:0.742893:0.688269:0.734047:0.688269:0.000000
}:@0.778237:0.706645:0.787082:0.706645:0.787082:0.688269:0.778237:0.688269:0.000000
=:@0.538411:0.704878:0.548528:0.704878:0.548528:0.689305:0.538411:0.689305:0.000000
∈:@0.572392:0.704878:0.585531:0.704878:0.585531:0.689305:0.572392:0.689305:0.000000
+:@0.634106:0.704878:0.644223:0.704878:0.644223:0.689305:0.634106:0.689305:0.000000
+ =:@0.666041:0.704878:0.699764:0.704878:0.699764:0.689305:0.666041:0.689305:0.000000:0.000000:0.000000
=:@0.722153:0.704878:0.732270:0.704878:0.732270:0.689305:0.722153:0.689305:0.000000
S:@0.526894:0.704200:0.534965:0.704200:0.534965:0.687839:0.526894:0.687839:0.000000
x:@0.560506:0.704200:0.567969:0.704200:0.567969:0.687839:0.560506:0.687839:0.000000
ax:@0.607036:0.704200:0.623713:0.704200:0.623713:0.687839:0.607036:0.687839:0.000000:0.000000
bx c:@0.646250:0.704200:0.686221:0.704200:0.686221:0.687839:0.646250:0.687839:0.000000:0.000000:0.000000:0.000000
x x:@0.744250:0.704200:0.770985:0.704200:0.770985:0.687839:0.744250:0.687839:0.000000:0.000000:0.000000