217:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
Análisis del discriminante :@0.095800:0.136304:0.367550:0.136304:0.367550:0.114495:0.095800:0.114495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación de segundo grado :@0.095800:0.159085:0.327450:0.159085:0.327450:0.143415:0.095800:0.143415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax :@0.327450:0.159085:0.347500:0.159085:0.347500:0.142724:0.327450:0.142724:0.000000:0.000000:0.000000
² +   +   = 0 tiene dos soluciones: :@0.347500:0.159085:0.604440:0.159085:0.604440:0.143415:0.347500:0.143415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.371824:0.159085:0.388391:0.159085:0.388391:0.142724:0.371824:0.142724:0.000000:0.000000
c:@0.407448:0.159085:0.415114:0.159085:0.415114:0.142724:0.407448:0.142724:0.000000
=:@0.252521:0.197318:0.262638:0.197318:0.262638:0.181745:0.252521:0.181745:0.000000
−+:@0.267761:0.188356:0.300654:0.188356:0.300654:0.172783:0.267761:0.172783:0.000000:0.000000
−:@0.335298:0.188356:0.345415:0.188356:0.345415:0.172783:0.335298:0.172783:0.000000
=:@0.427123:0.197318:0.437240:0.197318:0.437240:0.181745:0.427123:0.181745:0.000000
−−:@0.442363:0.188356:0.475256:0.188356:0.475256:0.172783:0.442363:0.172783:0.000000:0.000000
−:@0.509900:0.188356:0.520017:0.188356:0.520017:0.172783:0.509900:0.172783:0.000000
x:@0.236582:0.196641:0.244045:0.196641:0.244045:0.180279:0.236582:0.180279:0.000000
b:@0.278468:0.187679:0.287737:0.187679:0.287737:0.171317:0.278468:0.171317:0.000000
b:@0.315949:0.187679:0.325218:0.187679:0.325218:0.171317:0.315949:0.171317:0.000000
ac:@0.358830:0.187679:0.375710:0.187679:0.375710:0.171317:0.358830:0.171317:0.000000:0.000000
a:@0.322463:0.207130:0.331732:0.207130:0.331732:0.190769:0.322463:0.190769:0.000000
b:@0.453026:0.187682:0.462295:0.187682:0.462295:0.171321:0.453026:0.171321:0.000000
b:@0.490508:0.187682:0.499777:0.187682:0.499777:0.171321:0.490508:0.171321:0.000000
ac:@0.533389:0.187682:0.550268:0.187682:0.550268:0.171321:0.533389:0.171321:0.000000:0.000000
a:@0.497055:0.207130:0.506324:0.207130:0.506324:0.190769:0.497055:0.190769:0.000000
4:@0.348900:0.187682:0.357892:0.187682:0.357892:0.172013:0.348900:0.172013:0.000000
2:@0.313301:0.207130:0.322294:0.207130:0.322294:0.191461:0.313301:0.191461:0.000000
yx:@0.388844:0.196641:0.416283:0.196641:0.416283:0.180971:0.388844:0.180971:0.000000:0.000000
4:@0.523495:0.187679:0.532488:0.187679:0.532488:0.172009:0.523495:0.172009:0.000000
2:@0.487893:0.207130:0.496885:0.207130:0.496885:0.191461:0.487893:0.191461:0.000000
1:@0.244040:0.198644:0.249251:0.198644:0.249251:0.189563:0.244040:0.189563:0.000000
2:@0.325760:0.180017:0.330972:0.180017:0.330972:0.170936:0.325760:0.170936:0.000000
2:@0.417061:0.198644:0.422272:0.198644:0.422272:0.189563:0.417061:0.189563:0.000000
2:@0.500351:0.180017:0.505563:0.180017:0.505563:0.170936:0.500351:0.170936:0.000000
La cantidad subradical  ² – 4  se denomina discriminante, porque sirve para :@0.095800:0.234195:0.698176:0.234195:0.698176:0.218525:0.095800:0.218525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b :@0.271600:0.234195:0.284186:0.234195:0.284186:0.217834:0.271600:0.217834:0.000000:0.000000
ac:@0.322937:0.234195:0.339872:0.234195:0.339872:0.217834:0.322937:0.217834:0.000000:0.000000
discriminar (discernir) entre los tipos de soluciones.:@0.095800:0.250791:0.468899:0.250791:0.468899:0.235122:0.095800:0.235122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen tres posibles casos: :@0.095800:0.274510:0.294227:0.274510:0.294227:0.258841:0.095800:0.258841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La identidad de :@0.733044:0.176641:0.840628:0.176641:0.840628:0.162396:0.733044:0.162396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Legendre se aplica a las :@0.733044:0.191728:0.893314:0.191728:0.893314:0.177483:0.733044:0.177483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíces::@0.733044:0.206816:0.773853:0.206816:0.773853:0.192571:0.733044:0.192571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.734712:0.230030:0.739371:0.230030:0.739371:0.213519:0.734712:0.213519:0.000000
) (:@0.775692:0.230030:0.801618:0.230030:0.801618:0.213519:0.775692:0.213519:0.000000:0.000000:0.000000
):@0.837939:0.230030:0.842598:0.230030:0.842598:0.213519:0.837939:0.213519:0.000000
+:@0.752758:0.228122:0.760439:0.228122:0.760439:0.216328:0.752758:0.216328:0.000000
−:@0.787498:0.228122:0.795179:0.228122:0.795179:0.216328:0.787498:0.216328:0.000000
−:@0.815004:0.228122:0.822686:0.228122:0.822686:0.216328:0.815004:0.216328:0.000000
=:@0.850136:0.228122:0.857817:0.228122:0.857817:0.216328:0.850136:0.216328:0.000000
⋅:@0.880343:0.228122:0.883841:0.228122:0.883841:0.216328:0.880343:0.216328:0.000000
x:@0.741034:0.227609:0.746700:0.227609:0.746700:0.215218:0.741034:0.215218:0.000000
x:@0.763657:0.227609:0.769324:0.227609:0.769324:0.215218:0.763657:0.215218:0.000000
x:@0.803280:0.227609:0.808946:0.227609:0.808946:0.215218:0.803280:0.215218:0.000000
x:@0.825904:0.227609:0.831570:0.227609:0.831570:0.215218:0.825904:0.215218:0.000000
xx:@0.869220:0.227609:0.891662:0.227609:0.891662:0.215218:0.869220:0.215218:0.000000:0.000000
4:@0.860867:0.227609:0.867695:0.227609:0.867695:0.215742:0.860867:0.215742:0.000000
1:@0.746717:0.229127:0.750674:0.229127:0.750674:0.222249:0.746717:0.222249:0.000000
2:@0.769851:0.229127:0.773808:0.229127:0.773808:0.222249:0.769851:0.222249:0.000000
2:@0.780262:0.220022:0.784219:0.220022:0.784219:0.213144:0.780262:0.213144:0.000000
1:@0.808958:0.229127:0.812915:0.229127:0.812915:0.222249:0.808958:0.222249:0.000000
2:@0.832092:0.229127:0.836048:0.229127:0.836048:0.222249:0.832092:0.222249:0.000000
2:@0.842503:0.220022:0.846460:0.220022:0.846460:0.213144:0.842503:0.213144:0.000000
1:@0.874896:0.229127:0.878853:0.229127:0.878853:0.222249:0.874896:0.222249:0.000000
2:@0.892184:0.229127:0.896140:0.229127:0.896140:0.222249:0.892184:0.222249:0.000000
¿Sabías que?:@0.765616:0.152131:0.867484:0.152131:0.867484:0.135230:0.765616:0.135230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Discriminante:  2 – 4:@0.131750:0.322385:0.286675:0.322385:0.286675:0.306807:0.131750:0.306807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b :@0.243872:0.322385:0.256336:0.322385:0.256336:0.306832:0.243872:0.306832:0.000000:0.000000
ac :@0.286675:0.322385:0.306325:0.322385:0.306325:0.306832:0.286675:0.306832:0.000000:0.000000:0.000000
> 0:@0.306325:0.322385:0.328991:0.322385:0.328991:0.306807:0.306325:0.306807:0.000000:0.000000:0.000000
Discriminante positivo:@0.146174:0.337057:0.314566:0.337057:0.314566:0.321479:0.146174:0.321479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos raíces reales diferentes:@0.129153:0.351730:0.331588:0.351730:0.331588:0.336152:0.129153:0.336152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Discriminante:  2 – 4  = 0:@0.399906:0.322385:0.597448:0.322385:0.597448:0.306807:0.399906:0.306807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b :@0.512028:0.322385:0.524492:0.322385:0.524492:0.306832:0.512028:0.306832:0.000000:0.000000
ac:@0.554830:0.322385:0.571398:0.322385:0.571398:0.306832:0.554830:0.306832:0.000000:0.000000
Discriminante nulo:@0.427865:0.337057:0.569489:0.337057:0.569489:0.321479:0.427865:0.321479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Raíces reales iguales:@0.422605:0.351730:0.574749:0.351730:0.574749:0.336152:0.422605:0.336152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Discriminante:  2 – 4  < 0:@0.668212:0.322385:0.865755:0.322385:0.865755:0.306807:0.668212:0.306807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b :@0.780334:0.322385:0.792798:0.322385:0.792798:0.306832:0.780334:0.306832:0.000000:0.000000
ac:@0.823137:0.322385:0.839705:0.322385:0.839705:0.306832:0.823137:0.306832:0.000000:0.000000
Discriminante negativo:@0.679989:0.337057:0.853961:0.337057:0.853961:0.321479:0.679989:0.321479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No hay raíces reales:@0.693826:0.351730:0.840123:0.351730:0.840123:0.336152:0.693826:0.336152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.102919:0.368289:0.160782:0.368289:0.160782:0.354043:0.102919:0.354043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x   + x :@0.160782:0.368289:0.204179:0.368286:0.204179:0.353412:0.160782:0.353415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.173598:0.362789:0.178364:0.362789:0.178364:0.354484:0.173598:0.354484:0.000000
– 6 = 0:@0.204179:0.368286:0.249896:0.368286:0.249896:0.354041:0.204179:0.354041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analizamos el discriminante.:@0.102928:0.392426:0.292243:0.392426:0.292243:0.378181:0.102928:0.378181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a    ,  b :@0.102928:0.411072:0.156049:0.411072:0.156049:0.396198:0.102928:0.396198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 1:@0.114369:0.411072:0.135544:0.411072:0.135544:0.396827:0.114369:0.396827:0.000000:0.000000:0.000000
= 1 = 6:@0.156049:0.411072:0.223461:0.411072:0.223461:0.396827:0.156049:0.396827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, c   –:@0.177878:0.411072:0.215286:0.411072:0.215286:0.396198:0.177878:0.396198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b   –  ac > :@0.102928:0.429718:0.173121:0.429730:0.173121:0.414857:0.102928:0.414844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.114362:0.424233:0.119128:0.424233:0.119128:0.415928:0.114362:0.415928:0.000000
4:@0.133535:0.429730:0.141710:0.429730:0.141710:0.415485:0.133535:0.415485:0.000000
0:@0.173121:0.429730:0.181296:0.429730:0.181296:0.415485:0.173121:0.415485:0.000000
1  4(1)( 6) 0:@0.102928:0.444818:0.206274:0.444818:0.206274:0.430573:0.102928:0.430573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.112251:0.439320:0.117017:0.439320:0.117017:0.431015:0.112251:0.431015:0.000000
 – :@0.117017:0.444818:0.131424:0.444818:0.131424:0.429944:0.117017:0.429944:0.000000:0.000000:0.000000
–  > :@0.161092:0.444818:0.198098:0.444818:0.198098:0.429944:0.161092:0.429944:0.000000:0.000000:0.000000:0.000000:0.000000
1 + 24 0:@0.102928:0.459906:0.167659:0.459906:0.167659:0.445660:0.102928:0.445660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     > :@0.111103:0.459906:0.159484:0.459906:0.159484:0.445032:0.111103:0.445032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
25 0:@0.102928:0.474993:0.143469:0.474993:0.143469:0.460748:0.102928:0.460748:0.000000:0.000000:0.000000:0.000000
 > :@0.119278:0.474993:0.135294:0.474993:0.135294:0.460119:0.119278:0.460119:0.000000:0.000000:0.000000
La ecuación tiene dos raíces reales :@0.102928:0.490081:0.335498:0.490081:0.335498:0.475836:0.102928:0.475836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferentes.:@0.102928:0.505168:0.171846:0.505168:0.171846:0.490923:0.102928:0.490923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Graficamos la función cuadrática::@0.102928:0.532867:0.323457:0.532867:0.323457:0.518622:0.102928:0.518622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y   x     x   :@0.102928:0.551513:0.177509:0.551524:0.177509:0.536650:0.102928:0.536639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.112745:0.551513:0.122729:0.551513:0.122729:0.537267:0.112745:0.537267:0.000000
2:@0.135536:0.546026:0.140302:0.546026:0.140302:0.537721:0.135536:0.537721:0.000000
+ – 6:@0.143318:0.551524:0.185684:0.551524:0.185684:0.537279:0.143318:0.537279:0.000000:0.000000:0.000000:0.000000:0.000000
Los puntos (–3, 0) y (2, 0) son los cor-:@0.102928:0.868364:0.346759:0.868364:0.346759:0.854119:0.102928:0.854119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tes de la parábola con el eje , y son :@0.102928:0.883451:0.342303:0.883451:0.342303:0.869206:0.102928:0.869206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x    :@0.288377:0.883451:0.314494:0.883451:0.314494:0.868577:0.288377:0.868577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las soluciones de la ecuación::@0.102928:0.898539:0.298126:0.898539:0.298126:0.884294:0.102928:0.884294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  :@0.102928:0.913627:0.117232:0.913626:0.117232:0.898753:0.102928:0.898753:0.000000:0.000000:0.000000
1:@0.109705:0.916503:0.114217:0.916503:0.114217:0.907831:0.109705:0.907831:0.000000
= –3 :@0.117232:0.913626:0.151106:0.913626:0.151106:0.899381:0.117232:0.899381:0.000000:0.000000:0.000000:0.000000:0.000000
  y   x  :@0.151106:0.913626:0.187294:0.913626:0.187294:0.898753:0.151106:0.898753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.179767:0.916503:0.184280:0.916503:0.184280:0.907831:0.179767:0.907831:0.000000
= 2:@0.187294:0.913626:0.209123:0.913626:0.209123:0.899381:0.187294:0.899381:0.000000:0.000000:0.000000
Ejemplo: :@0.371219:0.368285:0.432750:0.368285:0.432750:0.354039:0.371219:0.354039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x   –  x +   = :@0.432750:0.368285:0.516891:0.368286:0.516891:0.353412:0.432750:0.353411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.442552:0.362789:0.447318:0.362789:0.447318:0.354484:0.442552:0.354484:0.000000
6:@0.461725:0.368286:0.469901:0.368286:0.469901:0.354041:0.461725:0.354041:0.000000
9 0:@0.492701:0.368286:0.525066:0.368286:0.525066:0.354041:0.492701:0.354041:0.000000:0.000000:0.000000
Analizamos el discriminante:@0.371229:0.392426:0.557797:0.392426:0.557797:0.378181:0.371229:0.378181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.557797:0.392426:0.560829:0.392426:0.560829:0.377552:0.557797:0.377552:0.000000
a :@0.371229:0.407514:0.382671:0.407514:0.382671:0.392640:0.371229:0.392640:0.000000:0.000000
= 1:@0.382671:0.407514:0.404499:0.407514:0.404499:0.393269:0.382671:0.393269:0.000000:0.000000:0.000000
,  b   – ,  c   :@0.404499:0.407514:0.486603:0.407514:0.486603:0.392640:0.404499:0.392640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 6:@0.425004:0.407514:0.454555:0.407514:0.454555:0.393269:0.425004:0.393269:0.000000:0.000000:0.000000
= 9:@0.473603:0.407514:0.494778:0.407514:0.494778:0.393269:0.473603:0.393269:0.000000:0.000000:0.000000
b   –  ac   :@0.371229:0.422601:0.441423:0.422601:0.441423:0.407728:0.371229:0.407728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.382664:0.417104:0.387430:0.417104:0.387430:0.408799:0.382664:0.408799:0.000000
4:@0.401837:0.422601:0.410012:0.422601:0.410012:0.408356:0.401837:0.408356:0.000000
= 0:@0.428423:0.422601:0.449598:0.422601:0.449598:0.408356:0.428423:0.408356:0.000000:0.000000:0.000000
( 6):@0.371231:0.437689:0.396661:0.437689:0.396661:0.423444:0.371231:0.423444:0.000000:0.000000:0.000000:0.000000
–:@0.375670:0.437689:0.384046:0.437689:0.384046:0.422815:0.375670:0.422815:0.000000
2:@0.396652:0.432192:0.401418:0.432192:0.401418:0.423887:0.396652:0.423887:0.000000
 – :@0.401418:0.437689:0.415825:0.437689:0.415825:0.422815:0.401418:0.422815:0.000000:0.000000:0.000000
4(1)(9) = 0:@0.415825:0.437689:0.483606:0.437689:0.483606:0.423444:0.415825:0.423444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
36 36 = 0:@0.371231:0.452777:0.443835:0.452777:0.443835:0.438531:0.371231:0.438531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 – :@0.387581:0.452777:0.401988:0.452777:0.401988:0.437903:0.387581:0.437903:0.000000:0.000000:0.000000
0 = 0:@0.371231:0.467864:0.404903:0.467864:0.404903:0.453619:0.371231:0.453619:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación tiene única solución, :@0.371231:0.482952:0.595394:0.482952:0.595394:0.468707:0.371231:0.468707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las dos raíces son reales e iguales.:@0.371231:0.498040:0.593262:0.498040:0.593262:0.483794:0.371231:0.483794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Graficamos la función cuadrática::@0.371231:0.522180:0.591759:0.522180:0.591759:0.507935:0.371231:0.507935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y   x   –  x + :@0.371231:0.537267:0.453987:0.537267:0.453987:0.522393:0.371231:0.522393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.381048:0.537267:0.391032:0.537267:0.391032:0.523022:0.381048:0.523022:0.000000
2:@0.403839:0.531770:0.408605:0.531770:0.408605:0.523465:0.403839:0.523465:0.000000
6:@0.423012:0.537267:0.431187:0.537267:0.431187:0.523022:0.423012:0.523022:0.000000
9 :@0.453987:0.537267:0.465831:0.537267:0.465831:0.523022:0.453987:0.523022:0.000000:0.000000
 :@0.371231:0.567443:0.374246:0.567443:0.374246:0.552569:0.371231:0.552569:0.000000
El punto de corte de la parábola con :@0.371231:0.854107:0.617724:0.854107:0.617724:0.839862:0.371231:0.839862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el eje es (3, 0), que es el vértice de la :@0.371231:0.869195:0.623451:0.869195:0.623451:0.854950:0.371231:0.854950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x :@0.406411:0.869195:0.419226:0.869195:0.419226:0.854321:0.406411:0.854321:0.000000:0.000000:0.000000
parábola. La ecuación tiene dos raíces :@0.371231:0.884282:0.627023:0.884282:0.627023:0.870037:0.371231:0.870037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales iguales::@0.371231:0.899370:0.463268:0.899370:0.463268:0.885125:0.371231:0.885125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x    x  :@0.371231:0.914458:0.412847:0.914458:0.412847:0.899584:0.371231:0.899584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.378007:0.917334:0.382519:0.917334:0.382519:0.908663:0.378007:0.908663:0.000000
=:@0.385534:0.914458:0.395518:0.914458:0.395518:0.900213:0.385534:0.900213:0.000000
2:@0.405318:0.917334:0.409831:0.917334:0.409831:0.908663:0.405318:0.908663:0.000000
= 3:@0.412847:0.914458:0.434675:0.914458:0.434675:0.900213:0.412847:0.900213:0.000000:0.000000:0.000000
Ejemplo:@0.639524:0.368286:0.694471:0.368286:0.694471:0.354041:0.639524:0.354041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: x   :@0.694471:0.368286:0.718101:0.368286:0.718101:0.353412:0.694471:0.353413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.710319:0.362789:0.715085:0.362789:0.715085:0.354484:0.710319:0.354484:0.000000
– 3 + 5 = 0:@0.718101:0.368286:0.795447:0.368286:0.795447:0.354041:0.718101:0.354041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.738321:0.368286:0.748121:0.368286:0.748121:0.353412:0.738321:0.353412:0.000000:0.000000
Analizamos el discriminante.:@0.639532:0.392426:0.828847:0.392426:0.828847:0.378181:0.639532:0.378181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a =  b :@0.639532:0.407514:0.690174:0.407514:0.690174:0.392640:0.639532:0.392640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,  = –3,  = 5:@0.663974:0.407514:0.758776:0.407514:0.758776:0.393269:0.663974:0.393269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c :@0.726963:0.407514:0.736947:0.407514:0.736947:0.392640:0.726963:0.392640:0.000000:0.000000
b   – ac :@0.639532:0.422601:0.697378:0.422601:0.697378:0.407728:0.639532:0.407728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.650965:0.417104:0.655732:0.417104:0.655732:0.408799:0.650965:0.408799:0.000000
 4:@0.667123:0.422601:0.678967:0.422601:0.678967:0.408356:0.667123:0.408356:0.000000:0.000000
< 0:@0.697378:0.422601:0.719206:0.422601:0.719206:0.408356:0.697378:0.408356:0.000000:0.000000:0.000000
(–3):@0.639532:0.437689:0.664962:0.437689:0.664962:0.423444:0.639532:0.423444:0.000000:0.000000:0.000000:0.000000
2:@0.664954:0.432192:0.669720:0.432192:0.669720:0.423887:0.664954:0.423887:0.000000
 – :@0.669720:0.437689:0.684127:0.437689:0.684127:0.422815:0.669720:0.422815:0.000000:0.000000:0.000000
4(1)(5) < 0:@0.684127:0.437689:0.751907:0.437689:0.751907:0.423444:0.684127:0.423444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9 – 20 < 0:@0.639532:0.452777:0.705268:0.452777:0.705268:0.438531:0.639532:0.438531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–11 < 0:@0.639532:0.467864:0.689756:0.467864:0.689756:0.453619:0.639532:0.453619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación no tiene solución real.:@0.639532:0.498040:0.868986:0.498040:0.868986:0.483794:0.639532:0.483794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Graficamos la función cuadrática::@0.639532:0.528215:0.860195:0.528215:0.860195:0.513970:0.639532:0.513970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y   x   :@0.639532:0.543302:0.679922:0.543302:0.679922:0.528429:0.639532:0.528429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.649349:0.543302:0.659333:0.543302:0.659333:0.529057:0.649349:0.529057:0.000000
2:@0.672141:0.537805:0.676907:0.537805:0.676907:0.529500:0.672141:0.529500:0.000000
– 3 + 5 :@0.679922:0.543302:0.735439:0.543302:0.735439:0.529057:0.679922:0.529057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.700142:0.543302:0.709942:0.543302:0.709942:0.528429:0.700142:0.528429:0.000000:0.000000
 :@0.639532:0.573478:0.643201:0.573478:0.643201:0.559232:0.639532:0.559232:0.000000
La parábola no corta el eje de las  , :@0.639532:0.860142:0.874667:0.860142:0.874667:0.845897:0.639532:0.845897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.861299:0.860142:0.868083:0.860142:0.868083:0.845268:0.861299:0.845268:0.000000
por lo tanto, la ecuación no tiene :@0.639532:0.875230:0.863058:0.875230:0.863058:0.860985:0.639532:0.860985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
soluciones reales.:@0.639532:0.890317:0.755189:0.890317:0.755189:0.876072:0.639532:0.876072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.216820:0.724666:0.223012:0.724666:0.223012:0.712766:0.216820:0.712766:0.000000
0:@0.443862:0.782200:0.450054:0.782200:0.450054:0.770301:0.443862:0.770301:0.000000
0:@0.710534:0.782200:0.716725:0.782200:0.716725:0.770301:0.710534:0.770301:0.000000
x:@0.333988:0.719952:0.340095:0.719952:0.340095:0.706565:0.333988:0.706565:0.000000
y:@0.211094:0.579716:0.217216:0.579716:0.217216:0.566330:0.211094:0.566330:0.000000
y:@0.438850:0.565979:0.444971:0.565979:0.444971:0.552593:0.438850:0.552593:0.000000
y:@0.704434:0.565979:0.710555:0.565979:0.710555:0.552593:0.704434:0.552593:0.000000
x:@0.865835:0.787880:0.871941:0.787880:0.871941:0.774494:0.865835:0.774494:0.000000
x:@0.608513:0.777492:0.614619:0.777492:0.614619:0.764106:0.608513:0.764106:0.000000
y = x  + x – 6:@0.261477:0.639669:0.324724:0.639669:0.324724:0.627770:0.261477:0.627770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.285157:0.635271:0.288767:0.635271:0.288767:0.628334:0.285157:0.628334:0.000000
y = x  – 6x + 9:@0.529318:0.610842:0.598758:0.610840:0.598758:0.598940:0.529318:0.598943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.553001:0.606442:0.556611:0.606442:0.556611:0.599504:0.553001:0.599504:0.000000
y = x  – 3x + 5:@0.793609:0.610840:0.863051:0.610840:0.863051:0.598940:0.793609:0.598940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.817292:0.606442:0.820901:0.606442:0.820901:0.599504:0.817292:0.599504:0.000000
7:@0.215102:0.594011:0.220519:0.594011:0.220519:0.583599:0.215102:0.583599:0.000000
6:@0.215102:0.611833:0.220519:0.611833:0.220519:0.601421:0.215102:0.601421:0.000000
5:@0.215102:0.629655:0.220519:0.629655:0.220519:0.619243:0.215102:0.619243:0.000000
4:@0.215102:0.647477:0.220519:0.647477:0.220519:0.637066:0.215102:0.637066:0.000000
3:@0.215102:0.665300:0.220519:0.665300:0.220519:0.654888:0.215102:0.654888:0.000000
2:@0.215102:0.683122:0.220519:0.683122:0.220519:0.672710:0.215102:0.672710:0.000000
1:@0.215102:0.700944:0.220519:0.700944:0.220519:0.690532:0.215102:0.690532:0.000000
1:@0.247620:0.727057:0.253037:0.727057:0.253037:0.716645:0.247620:0.716645:0.000000
2:@0.271366:0.727057:0.276784:0.727057:0.276784:0.716645:0.271366:0.716645:0.000000
3:@0.295113:0.727057:0.300530:0.727057:0.300530:0.716645:0.295113:0.716645:0.000000
4:@0.318859:0.727057:0.324277:0.727057:0.324277:0.716645:0.318859:0.716645:0.000000
–1:@0.209250:0.736589:0.220531:0.736589:0.220531:0.726177:0.209250:0.726177:0.000000:0.000000
–1:@0.197887:0.727057:0.209168:0.727057:0.209168:0.716645:0.197887:0.716645:0.000000:0.000000
–2:@0.174140:0.727057:0.185421:0.727057:0.185421:0.716645:0.174140:0.716645:0.000000:0.000000
–3:@0.150394:0.727057:0.161675:0.727057:0.161675:0.716645:0.150394:0.716645:0.000000:0.000000
–4:@0.126647:0.727057:0.137928:0.727057:0.137928:0.716645:0.126647:0.716645:0.000000:0.000000
–2:@0.209238:0.754411:0.220519:0.754411:0.220519:0.743999:0.209238:0.743999:0.000000:0.000000
–3:@0.209238:0.772233:0.220519:0.772233:0.220519:0.761821:0.209238:0.761821:0.000000:0.000000
–4:@0.209238:0.790055:0.220519:0.790055:0.220519:0.779644:0.209238:0.779644:0.000000:0.000000
–5:@0.209238:0.807877:0.220519:0.807877:0.220519:0.797466:0.209238:0.797466:0.000000:0.000000
–6:@0.209238:0.825700:0.220519:0.825700:0.220519:0.815288:0.209238:0.815288:0.000000:0.000000
1:@0.441721:0.758741:0.447139:0.758741:0.447139:0.748329:0.441721:0.748329:0.000000
1:@0.708151:0.758741:0.713569:0.758741:0.713569:0.748329:0.708151:0.748329:0.000000
1:@0.474662:0.784643:0.480079:0.784643:0.480079:0.774231:0.474662:0.774231:0.000000
1:@0.742124:0.784643:0.747541:0.784643:0.747541:0.774231:0.742124:0.774231:0.000000
2:@0.498408:0.784643:0.503826:0.784643:0.503826:0.774231:0.498408:0.774231:0.000000
2:@0.765870:0.784643:0.771288:0.784643:0.771288:0.774231:0.765870:0.774231:0.000000
3:@0.522155:0.784643:0.527572:0.784643:0.527572:0.774231:0.522155:0.774231:0.000000
3:@0.789617:0.784643:0.795034:0.784643:0.795034:0.774231:0.789617:0.774231:0.000000
4:@0.545901:0.784643:0.551319:0.784643:0.551319:0.774231:0.545901:0.774231:0.000000
4:@0.813363:0.784643:0.818781:0.784643:0.818781:0.774231:0.813363:0.774231:0.000000
5:@0.569648:0.784643:0.575065:0.784643:0.575065:0.774231:0.569648:0.774231:0.000000
5:@0.837110:0.784643:0.842527:0.784643:0.842527:0.774231:0.837110:0.774231:0.000000
2:@0.441733:0.740927:0.447151:0.740927:0.447151:0.730516:0.441733:0.730516:0.000000
2:@0.708163:0.740927:0.713581:0.740927:0.713581:0.730516:0.708163:0.730516:0.000000
3:@0.441733:0.723105:0.447151:0.723105:0.447151:0.712694:0.441733:0.712694:0.000000
3:@0.708163:0.723105:0.713581:0.723105:0.713581:0.712694:0.708163:0.712694:0.000000
4:@0.441733:0.705283:0.447151:0.705283:0.447151:0.694871:0.441733:0.694871:0.000000
4:@0.708163:0.705283:0.713581:0.705283:0.713581:0.694871:0.708163:0.694871:0.000000
5:@0.441733:0.687461:0.447151:0.687461:0.447151:0.677049:0.441733:0.677049:0.000000
5:@0.708163:0.687461:0.713581:0.687461:0.713581:0.677049:0.708163:0.677049:0.000000
6:@0.441733:0.669639:0.447151:0.669639:0.447151:0.659227:0.441733:0.659227:0.000000
6:@0.708163:0.669639:0.713581:0.669639:0.713581:0.659227:0.708163:0.659227:0.000000
7:@0.441733:0.651816:0.447151:0.651816:0.447151:0.641405:0.441733:0.641405:0.000000
7:@0.708163:0.651816:0.713581:0.651816:0.713581:0.641405:0.708163:0.641405:0.000000
8:@0.441733:0.633994:0.447151:0.633994:0.447151:0.623582:0.441733:0.623582:0.000000
8:@0.708163:0.633994:0.713581:0.633994:0.713581:0.623582:0.708163:0.623582:0.000000
9:@0.441733:0.616172:0.447151:0.616172:0.447151:0.605760:0.441733:0.605760:0.000000
9:@0.708163:0.616172:0.713581:0.616172:0.713581:0.605760:0.708163:0.605760:0.000000
10:@0.436315:0.598350:0.447151:0.598350:0.447151:0.587938:0.436315:0.587938:0.000000:0.000000
10:@0.702745:0.598350:0.713581:0.598350:0.713581:0.587938:0.702745:0.587938:0.000000:0.000000
–1:@0.435870:0.794368:0.447151:0.794368:0.447151:0.783956:0.435870:0.783956:0.000000:0.000000
–1:@0.702300:0.794368:0.713581:0.794368:0.713581:0.783956:0.702300:0.783956:0.000000:0.000000
–1:@0.424178:0.784625:0.435459:0.784625:0.435459:0.774213:0.424178:0.774213:0.000000:0.000000
–1:@0.691640:0.784625:0.702921:0.784625:0.702921:0.774213:0.691640:0.774213:0.000000:0.000000
–2:@0.400443:0.784625:0.411725:0.784625:0.411725:0.774213:0.400443:0.774213:0.000000:0.000000
–2:@0.667906:0.784625:0.679187:0.784625:0.679187:0.774213:0.667906:0.774213:0.000000:0.000000
–2:@0.435881:0.812190:0.447163:0.812190:0.447163:0.801778:0.435881:0.801778:0.000000:0.000000
–2:@0.702312:0.812190:0.713593:0.812190:0.713593:0.801778:0.702312:0.801778:0.000000:0.000000
Archivo editorial.:@0.380917:0.827166:0.380917:0.776857:0.369529:0.776857:0.369529:0.827166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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