128:@0.032380:0.974518:0.061577:0.974518:0.061577:0.956590:0.032380:0.956590:0.000000:0.000000:0.000000
Funciones:@0.073089:0.043661:0.163813:0.043661:0.163813:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.6 Soluciones de ecuaciones cuadráticas en los complejos:@0.293660:0.136836:0.751235:0.136836:0.751235:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea la función cuadrática  ( ) =  - 6x + 10 y su :@0.293660:0.164199:0.648716:0.164199:0.648716:0.147766:0.293660:0.147766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.485224:0.164199:0.502380:0.164199:0.502380:0.147793:0.485224:0.147793:0.000000:0.000000:0.000000
x:@0.528132:0.164199:0.535587:0.164199:0.535587:0.147793:0.528132:0.147793:0.000000
2 :@0.535649:0.158135:0.543279:0.158135:0.543279:0.148555:0.535649:0.148555:0.000000:0.000000
gráfica::@0.293658:0.180841:0.345228:0.180841:0.345228:0.164407:0.293658:0.164407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observemos que la gráfica de la función no tiene :@0.293658:0.255785:0.648764:0.255785:0.648764:0.239351:0.293658:0.239351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corte o cortes con el eje x. Es decir, no tiene ceros :@0.293658:0.272427:0.648773:0.272427:0.648773:0.255993:0.293658:0.255993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales. De otra manera,  - 6 + 10 = 0 no tiene :@0.293658:0.289069:0.648726:0.289067:0.648726:0.272634:0.293658:0.272635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.468306:0.289069:0.475761:0.289069:0.475761:0.272663:0.468306:0.272663:0.000000
2 :@0.475802:0.283002:0.483421:0.283002:0.483421:0.273421:0.475802:0.273421:0.000000:0.000000
x :@0.503143:0.289067:0.513948:0.289067:0.513948:0.272661:0.503143:0.272661:0.000000:0.000000
solución en el conjunto de los números reales.:@0.293650:0.305709:0.629262:0.305709:0.629262:0.289275:0.293650:0.289275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analicemos la ecuación cuadrática  - 6 + 10 = :@0.293650:0.389029:0.648691:0.389024:0.648691:0.372590:0.293650:0.372596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.551057:0.389029:0.558512:0.389029:0.558512:0.372623:0.551057:0.372623:0.000000
2 :@0.558490:0.382960:0.566056:0.382960:0.566056:0.373379:0.558490:0.373379:0.000000:0.000000
x :@0.585039:0.389024:0.595770:0.389024:0.595770:0.372618:0.585039:0.372618:0.000000:0.000000
0 y generemos la solución con la fórmula cuadrática::@0.293652:0.405666:0.673721:0.405666:0.673721:0.389232:0.293652:0.389232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax bx :@0.293652:0.434526:0.346806:0.434526:0.346806:0.418120:0.293652:0.418120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 :@0.310240:0.428462:0.317784:0.428462:0.317784:0.418881:0.310240:0.418881:0.000000:0.000000
- :@0.317733:0.434526:0.327176:0.434526:0.327176:0.418092:0.317733:0.418092:0.000000:0.000000
+ c = 0 entonces   = :@0.346743:0.434526:0.505675:0.434601:0.505675:0.418168:0.346743:0.418092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.479187:0.434601:0.486642:0.434601:0.486642:0.418195:0.479187:0.418195:0.000000
2:@0.544441:0.443782:0.553423:0.443782:0.553423:0.427348:0.544441:0.427348:0.000000
a:@0.553423:0.443782:0.562682:0.443782:0.562682:0.427376:0.553423:0.427376:0.000000
-  ±   :@0.507129:0.427446:0.548969:0.427446:0.548969:0.411012:0.507129:0.411012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.512614:0.427446:0.521873:0.427446:0.521873:0.411039:0.512614:0.411039:0.000000
b:@0.548969:0.427446:0.558228:0.427446:0.558228:0.411039:0.548969:0.411039:0.000000
2 :@0.558236:0.422721:0.567701:0.422721:0.567701:0.410770:0.558236:0.410770:0.000000:0.000000
- 4:@0.567701:0.427449:0.586200:0.427449:0.586200:0.411015:0.567701:0.411015:0.000000:0.000000:0.000000
ac:@0.586200:0.427449:0.603116:0.427449:0.603116:0.411043:0.586200:0.411043:0.000000:0.000000
x:@0.293660:0.476427:0.301115:0.476427:0.301115:0.460021:0.293660:0.460021:0.000000
2 :@0.301048:0.470363:0.308592:0.470363:0.308592:0.460782:0.301048:0.460782:0.000000:0.000000
- 6 + 10 = 0 :@0.308542:0.476427:0.401860:0.476427:0.401860:0.459993:0.308542:0.459993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.326802:0.476427:0.337496:0.476427:0.337496:0.460021:0.326802:0.460021:0.000000:0.000000
6±2:@0.687063:0.468916:0.716000:0.468916:0.716000:0.452483:0.687063:0.452483:0.000000:0.000000:0.000000
i:@0.716000:0.468916:0.719791:0.468916:0.719791:0.452510:0.716000:0.452510:0.000000
2.1 :@0.511753:0.485683:0.536952:0.485683:0.536952:0.469249:0.511753:0.469249:0.000000:0.000000:0.000000:0.000000
6:@0.462016:0.467946:0.470999:0.467946:0.470999:0.451512:0.462016:0.451512:0.000000
±    :@0.470999:0.467946:0.495223:0.467946:0.495223:0.451540:0.470999:0.451540:0.000000:0.000000:0.000000:0.000000:0.000000
(-6) -4 1.10:@0.495223:0.467946:0.577264:0.467956:0.577264:0.451522:0.495223:0.451512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.519449:0.463228:0.525981:0.463228:0.525981:0.451276:0.519449:0.451276:0.000000
..:@0.540450:0.467956:0.547113:0.467956:0.547113:0.451550:0.540450:0.451550:0.000000:0.000000
x =:@0.436430:0.476291:0.458169:0.476291:0.458169:0.459884:0.436430:0.459884:0.000000:0.000000:0.000000
2:@0.625068:0.485527:0.634050:0.485527:0.634050:0.469093:0.625068:0.469093:0.000000
2:@0.697868:0.485527:0.706851:0.485527:0.706851:0.469093:0.697868:0.469093:0.000000
6±   -4 :@0.605740:0.467027:0.656286:0.467027:0.656286:0.450593:0.605740:0.450593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 ±   ,:@0.742303:0.475403:0.785363:0.476427:0.785363:0.459993:0.742303:0.458969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i :@0.770319:0.475403:0.777425:0.475403:0.777425:0.458997:0.770319:0.458997:0.000000:0.000000
=:@0.584826:0.475690:0.595797:0.475690:0.595797:0.459284:0.584826:0.459284:0.000000
=:@0.665303:0.475690:0.676273:0.475690:0.676273:0.459284:0.665303:0.459284:0.000000
=:@0.728311:0.475690:0.739281:0.475690:0.739281:0.459284:0.728311:0.459284:0.000000
es decir que el discriminante  - 4ac = -4 es negativo y se genera un número complejo :@0.293668:0.507367:0.931266:0.507364:0.931266:0.490930:0.293668:0.490933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.506383:0.507367:0.515642:0.507367:0.515642:0.490961:0.506383:0.490961:0.000000
2 :@0.515571:0.501300:0.523115:0.501300:0.523115:0.491719:0.515571:0.491719:0.000000:0.000000
y no un número real como se sabía.:@0.293652:0.524006:0.551357:0.524006:0.551357:0.507572:0.293652:0.507572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 6:@0.293652:0.650096:0.369434:0.650096:0.369434:0.633426:0.293652:0.633426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver la siguiente ecuación cuadrática en el conjunto de los números complejos :@0.293652:0.677458:0.931054:0.677458:0.931054:0.661024:0.293652:0.661024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(recordemos que los complejos incluyen a los reales, es decir, que todos los números :@0.293652:0.694099:0.930543:0.694099:0.930543:0.677666:0.293652:0.677666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales son números complejos)::@0.293652:0.710741:0.522607:0.710741:0.522607:0.694307:0.293652:0.694307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 - 2x + 7 = 0:@0.557612:0.730961:0.663025:0.730962:0.663025:0.714528:0.557612:0.714527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.566521:0.730961:0.573976:0.730961:0.573976:0.714555:0.566521:0.714555:0.000000
2 :@0.573916:0.724899:0.581460:0.724899:0.581460:0.715317:0.573916:0.715317:0.000000:0.000000
Solución:@0.293665:0.754746:0.359799:0.754746:0.359799:0.738077:0.293665:0.738077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
-(-2) ±    (-2) - 4.3.  7:@0.538321:0.783679:0.683777:0.783679:0.683777:0.767245:0.538321:0.767245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 :@0.623379:0.778951:0.632844:0.778951:0.632844:0.766999:0.623379:0.766999:0.000000:0.000000
x =:@0.512608:0.791556:0.534347:0.791556:0.534347:0.775150:0.512608:0.775150:0.000000:0.000000:0.000000
=:@0.692649:0.791556:0.703620:0.791556:0.703620:0.775150:0.692649:0.775150:0.000000
2.3:@0.599711:0.801555:0.620879:0.801555:0.620879:0.785121:0.599711:0.785121:0.000000:0.000000:0.000000
2 ±    4 - 84:@0.338428:0.831427:0.419034:0.831427:0.419034:0.814993:0.338428:0.814993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.374194:0.848804:0.383176:0.848804:0.383176:0.832370:0.374194:0.832370:0.000000
2 ±    - 80:@0.446447:0.831427:0.514038:0.831427:0.514038:0.814993:0.446447:0.814993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.473395:0.848804:0.482378:0.848804:0.482378:0.832370:0.473395:0.832370:0.000000
=:@0.427506:0.839318:0.438477:0.839318:0.438477:0.822884:0.427506:0.822884:0.000000
2 ±    80 :@0.536802:0.831427:0.598908:0.831427:0.598908:0.814993:0.536802:0.814993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.598908:0.831427:0.602700:0.831427:0.602700:0.815021:0.598908:0.815021:0.000000
6:@0.563731:0.848804:0.572714:0.848804:0.572714:0.832370:0.563731:0.832370:0.000000
=:@0.517842:0.839318:0.528813:0.839318:0.528813:0.822884:0.517842:0.822884:0.000000
2 ±    16.5 :@0.624296:0.831427:0.698588:0.831427:0.698588:0.814993:0.624296:0.814993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.698588:0.831427:0.702380:0.831427:0.702380:0.815021:0.698588:0.815021:0.000000
6:@0.663412:0.848804:0.672394:0.848804:0.672394:0.832370:0.663412:0.832370:0.000000
2 ± 4  5 :@0.726078:0.831427:0.784153:0.831427:0.784153:0.814993:0.726078:0.814993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.784153:0.831427:0.787945:0.831427:0.787945:0.815021:0.784153:0.815021:0.000000
6:@0.752180:0.848804:0.761163:0.848804:0.761163:0.832370:0.752180:0.832370:0.000000
1 ± 2  5 :@0.812438:0.831427:0.870513:0.831427:0.870513:0.814993:0.812438:0.814993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.870513:0.831427:0.874305:0.831427:0.874305:0.815021:0.870513:0.815021:0.000000
3:@0.838540:0.848804:0.847523:0.848804:0.847523:0.832370:0.838540:0.832370:0.000000
=:@0.609738:0.839318:0.620708:0.839318:0.620708:0.822884:0.609738:0.822884:0.000000
=:@0.707609:0.839318:0.718580:0.839318:0.718580:0.822884:0.707609:0.822884:0.000000
=:@0.795761:0.839318:0.806732:0.839318:0.806732:0.822884:0.795761:0.822884:0.000000
Es decir que las dos soluciones complejas son:@0.293660:0.874315:0.624586:0.874315:0.624586:0.857882:0.293660:0.857882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 + 2  5 :@0.510451:0.903242:0.568526:0.903242:0.568526:0.886808:0.510451:0.886808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.568526:0.903242:0.572317:0.903242:0.572317:0.886836:0.568526:0.886836:0.000000
3:@0.536552:0.920619:0.545535:0.920619:0.545535:0.904185:0.536552:0.904185:0.000000
1 - 2  5 :@0.644896:0.903242:0.697485:0.903242:0.697485:0.886808:0.644896:0.886808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.697485:0.903242:0.701277:0.903242:0.701277:0.886836:0.697485:0.886836:0.000000
3:@0.671586:0.920619:0.680569:0.920619:0.680569:0.904185:0.671586:0.904185:0.000000
-3:@0.666847:0.349729:0.671914:0.349729:0.671914:0.343974:0.666847:0.343974:0.000000:0.000000
-2:@0.687307:0.349729:0.692374:0.349729:0.692374:0.343974:0.687307:0.343974:0.000000:0.000000
-1:@0.708013:0.349729:0.713079:0.349729:0.713079:0.343974:0.708013:0.343974:0.000000:0.000000
0:@0.725192:0.349729:0.728338:0.349729:0.728338:0.343974:0.725192:0.343974:0.000000
1:@0.750893:0.349729:0.754039:0.349729:0.754039:0.343974:0.750893:0.343974:0.000000
2:@0.770354:0.349729:0.773500:0.349729:0.773500:0.343974:0.770354:0.343974:0.000000
3:@0.790312:0.349729:0.793457:0.349729:0.793457:0.343974:0.790312:0.343974:0.000000
4:@0.810443:0.349729:0.813589:0.349729:0.813589:0.343974:0.810443:0.343974:0.000000
5:@0.830652:0.349729:0.833798:0.349729:0.833798:0.343974:0.830652:0.343974:0.000000
6:@0.851112:0.349729:0.854258:0.349729:0.854258:0.343974:0.851112:0.343974:0.000000
7:@0.870573:0.349729:0.873719:0.349729:0.873719:0.343974:0.870573:0.343974:0.000000
8:@0.891782:0.349729:0.894927:0.349729:0.894927:0.343974:0.891782:0.343974:0.000000
9:@0.911494:0.349729:0.914640:0.349729:0.914640:0.343974:0.911494:0.343974:0.000000
12:@0.722517:0.164084:0.728808:0.164084:0.728808:0.158329:0.722517:0.158329:0.000000:0.000000
11:@0.722517:0.179300:0.728808:0.179300:0.728808:0.173545:0.722517:0.173545:0.000000:0.000000
10:@0.722517:0.194516:0.728808:0.194516:0.728808:0.188761:0.722517:0.188761:0.000000:0.000000
9:@0.725662:0.209732:0.728808:0.209732:0.728808:0.203977:0.725662:0.203977:0.000000
8:@0.725662:0.224948:0.728808:0.224948:0.728808:0.219193:0.725662:0.219193:0.000000
7:@0.725662:0.240164:0.728808:0.240164:0.728808:0.234409:0.725662:0.234409:0.000000
6:@0.725662:0.255380:0.728808:0.255380:0.728808:0.249624:0.725662:0.249624:0.000000
5:@0.725662:0.270595:0.728808:0.270595:0.728808:0.264840:0.725662:0.264840:0.000000
4:@0.725662:0.285811:0.728808:0.285811:0.728808:0.280056:0.725662:0.280056:0.000000
3:@0.725662:0.301027:0.728808:0.301027:0.728808:0.295272:0.725662:0.295272:0.000000
2:@0.725662:0.316243:0.728808:0.316243:0.728808:0.310488:0.725662:0.310488:0.000000
1:@0.725662:0.331459:0.728808:0.331459:0.728808:0.325704:0.725662:0.325704:0.000000
-1:@0.724102:0.361842:0.729169:0.361842:0.729169:0.356087:0.724102:0.356087:0.000000:0.000000
En general, las soluciones de una ecuación cuadrática son::@0.406389:0.564795:0.832368:0.564795:0.832368:0.548361:0.406389:0.548361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un número real, si el discriminante.:@0.491357:0.581437:0.747399:0.581437:0.747399:0.565003:0.491357:0.565003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos números reales, si el discriminane.:@0.479172:0.598079:0.759582:0.598079:0.759582:0.581645:0.479172:0.581645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos números complejos, si el discriminante.:@0.459163:0.614720:0.779609:0.614720:0.779609:0.598287:0.459163:0.598287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EC. Reconoce los números complejos como raíces no reales de una función cuadrática, y desarrolla y comprende sus propiedades.:@0.233447:0.971366:0.918926:0.971366:0.918926:0.959415:0.233447:0.959415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000