125:@0.918240:0.967835:0.943652:0.967835:0.943652:0.951847:0.918240:0.951847:0.000000:0.000000:0.000000
• Hemos visto que la :@0.685042:0.140133:0.821100:0.140133:0.821100:0.125070:0.685042:0.125070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función   se escribe como :@0.638498:0.155975:0.808557:0.155975:0.808557:0.140912:0.638498:0.140912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.692482:0.156081:0.696405:0.156081:0.696405:0.141044:0.692482:0.141044:0.000000
f x:@0.641303:0.185900:0.661545:0.185900:0.661545:0.170255:0.641303:0.170255:0.000000:0.000000:0.000000
( ):@0.648075:0.185790:0.667603:0.185790:0.667603:0.170117:0.648075:0.170117:0.000000:0.000000:0.000000
=:@0.670202:0.186394:0.680249:0.186394:0.680249:0.170928:0.670202:0.170928:0.000000
ax:@0.683086:0.185900:0.707647:0.185900:0.707647:0.170255:0.683086:0.170255:0.000000:0.000000
2:@0.708791:0.178156:0.713463:0.178156:0.713463:0.169085:0.708791:0.169085:0.000000
+:@0.716749:0.186394:0.726797:0.186394:0.726797:0.170928:0.716749:0.170928:0.000000
b:@0.729878:0.177501:0.738681:0.177501:0.738681:0.161856:0.729878:0.161856:0.000000
a:@0.730276:0.196688:0.738805:0.196688:0.738805:0.181042:0.730276:0.181042:0.000000
x:@0.742063:0.185900:0.749165:0.185900:0.749165:0.170255:0.742063:0.170255:0.000000
+:@0.751416:0.186394:0.761463:0.186394:0.761463:0.170928:0.751416:0.170928:0.000000
c:@0.765537:0.177501:0.772363:0.177501:0.772363:0.161856:0.765537:0.161856:0.000000
a:@0.764940:0.196688:0.773469:0.196688:0.773469:0.181042:0.764940:0.181042:0.000000
,:@0.783889:0.185790:0.786506:0.185790:0.786506:0.170117:0.783889:0.170117:0.000000
x:@0.795676:0.185900:0.802777:0.185900:0.802777:0.170255:0.795676:0.170255:0.000000
.:@0.836954:0.185790:0.839571:0.185790:0.839571:0.170117:0.836954:0.170117:0.000000
Además, la ecuación en  , :@0.638503:0.221844:0.814263:0.221844:0.814263:0.206781:0.638503:0.206781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.795266:0.220959:0.807966:0.220959:0.807966:0.208682:0.795266:0.208682:0.000000
+:@0.754095:0.241786:0.731266:0.241786:0.731266:0.225505:0.754095:0.225505:0.000000
+ +:@0.787501:0.241786:0.729615:0.241786:0.729615:0.225505:0.787501:0.225505:0.000000:0.000000:0.000000
() =0:@0.651749:0.241150:0.697416:0.241150:0.697416:0.224652:0.651749:0.224652:0.000000:0.000000:0.000000:0.000000:0.000000
=0:@0.811678:0.241150:0.833891:0.241150:0.833891:0.224652:0.811678:0.224652:0.000000:0.000000
2 2:@0.744620:0.233114:0.747887:0.233114:0.747887:0.223565:0.744620:0.223565:0.000000:0.000000:0.000000
fx:@0.644630:0.241265:0.665918:0.241265:0.665918:0.224797:0.644630:0.224797:0.000000:0.000000
ax ax:@0.727135:0.241265:0.741743:0.241265:0.741743:0.224797:0.727135:0.224797:0.000000:0.000000:0.000000:0.000000:0.000000
bx c:@0.767400:0.241265:0.808396:0.241265:0.808396:0.224797:0.767400:0.224797:0.000000:0.000000:0.000000:0.000000
 :@0.698021:0.240829:0.701803:0.240829:0.701803:0.225766:0.698021:0.225766:0.000000
⇔:@0.701803:0.241331:0.720132:0.241331:0.720132:0.224129:0.701803:0.224129:0.000000
 :@0.720132:0.240829:0.723914:0.240829:0.723914:0.225766:0.720132:0.225766:0.000000
+:@0.785851:0.241786:0.763021:0.241786:0.763021:0.225505:0.785851:0.225505:0.000000
():@0.650098:0.241150:0.670654:0.241150:0.670654:0.224652:0.650098:0.224652:0.000000:0.000000
=0:@0.673544:0.241150:0.695756:0.241150:0.695756:0.224652:0.673544:0.224652:0.000000:0.000000
=0:@0.810019:0.241150:0.832231:0.241150:0.832231:0.224652:0.810019:0.224652:0.000000:0.000000
fx:@0.642978:0.241265:0.664266:0.241265:0.664266:0.224797:0.642978:0.224797:0.000000:0.000000
bx:@0.765748:0.241265:0.782432:0.241265:0.782432:0.224797:0.765748:0.224797:0.000000:0.000000
c:@0.799558:0.241265:0.806744:0.241265:0.806744:0.224797:0.799558:0.224797:0.000000
,  :@0.833359:0.240829:0.843438:0.240829:0.843438:0.225766:0.833359:0.225766:0.000000:0.000000:0.000000
tiene solución en   si y :@0.638497:0.256671:0.793904:0.256671:0.793904:0.241608:0.638497:0.241608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.753535:0.255787:0.766235:0.255787:0.766235:0.243509:0.753535:0.243509:0.000000
solo si el discriminante :@0.638497:0.272513:0.788839:0.272513:0.788839:0.257450:0.638497:0.257450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.654366:0.292455:0.664943:0.292455:0.664943:0.276174:0.654366:0.276174:0.000000
−:@0.687445:0.292455:0.698021:0.292455:0.698021:0.276174:0.687445:0.276174:0.000000
≥:@0.730021:0.292455:0.740598:0.292455:0.740598:0.276174:0.730021:0.276174:0.000000
4:@0.701167:0.291819:0.709663:0.291819:0.709663:0.275321:0.701167:0.275321:0.000000
0,:@0.744090:0.291819:0.756746:0.291819:0.756746:0.275321:0.744090:0.275321:0.000000:0.000000
2:@0.677977:0.283783:0.682895:0.283783:0.682895:0.274234:0.677977:0.274234:0.000000
db:@0.641487:0.291935:0.677725:0.291935:0.677725:0.275466:0.641487:0.275466:0.000000:0.000000
ac:@0.710322:0.291935:0.726293:0.291935:0.726293:0.275466:0.710322:0.275466:0.000000:0.000000
 en cuyo :@0.760796:0.291498:0.819652:0.291498:0.819652:0.276435:0.760796:0.276435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso sus raíces reales son::@0.638510:0.307340:0.801232:0.307340:0.801232:0.292277:0.638510:0.292277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.658000:0.345283:0.668048:0.345283:0.668048:0.329816:0.658000:0.329816:0.000000
−−:@0.673227:0.336437:0.705018:0.336437:0.705018:0.320970:0.673227:0.320970:0.000000:0.000000
−:@0.738034:0.336437:0.748082:0.336437:0.748082:0.320970:0.738034:0.320970:0.000000
=:@0.663783:0.387233:0.673831:0.387233:0.673831:0.371766:0.663783:0.371766:0.000000
−+:@0.679011:0.378387:0.710801:0.378387:0.710801:0.362920:0.679011:0.362920:0.000000:0.000000
−:@0.743818:0.378387:0.753866:0.378387:0.753866:0.362920:0.743818:0.362920:0.000000
4:@0.751084:0.335833:0.759155:0.335833:0.759155:0.320160:0.751084:0.320160:0.000000
2:@0.716328:0.355091:0.724399:0.355091:0.724399:0.339418:0.716328:0.339418:0.000000
,:@0.780330:0.344679:0.782948:0.344679:0.782948:0.329006:0.780330:0.329006:0.000000
4:@0.756849:0.377783:0.764920:0.377783:0.764920:0.362110:0.756849:0.362110:0.000000
2:@0.722056:0.397048:0.730127:0.397048:0.730127:0.381375:0.722056:0.381375:0.000000
.:@0.785367:0.386634:0.787984:0.386634:0.787984:0.370961:0.785367:0.370961:0.000000
1:@0.649346:0.346787:0.654017:0.346787:0.654017:0.337715:0.649346:0.337715:0.000000
2:@0.729017:0.328199:0.733689:0.328199:0.733689:0.319127:0.729017:0.319127:0.000000
2:@0.654017:0.388741:0.658689:0.388741:0.658689:0.379670:0.654017:0.379670:0.000000
2:@0.734780:0.370153:0.739451:0.370153:0.739451:0.361082:0.734780:0.361082:0.000000
x:@0.642035:0.344789:0.649136:0.344789:0.649136:0.329143:0.642035:0.329143:0.000000
b:@0.683818:0.335943:0.692621:0.335943:0.692621:0.320297:0.683818:0.320297:0.000000
b:@0.719983:0.335943:0.728786:0.335943:0.728786:0.320297:0.719983:0.320297:0.000000
ac:@0.759753:0.335943:0.774926:0.335943:0.774926:0.320297:0.759753:0.320297:0.000000:0.000000
a:@0.724998:0.355201:0.733526:0.355201:0.733526:0.339555:0.724998:0.339555:0.000000
x:@0.646263:0.386738:0.653364:0.386738:0.653364:0.371093:0.646263:0.371093:0.000000
b:@0.689583:0.377892:0.698387:0.377892:0.698387:0.362247:0.689583:0.362247:0.000000
b:@0.725748:0.377892:0.734551:0.377892:0.734551:0.362247:0.725748:0.362247:0.000000
ac:@0.765518:0.377892:0.780691:0.377892:0.780691:0.362247:0.765518:0.362247:0.000000:0.000000
a:@0.730761:0.397158:0.739289:0.397158:0.739289:0.381513:0.730761:0.381513:0.000000
• En conclusión, dada la función :@0.638503:0.424479:0.848507:0.424479:0.848507:0.409416:0.638503:0.409416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrática  , definida como :@0.638503:0.440321:0.818885:0.440321:0.818885:0.425258:0.638503:0.425258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.709970:0.440427:0.713893:0.440427:0.713893:0.425390:0.709970:0.425390:0.000000
=:@0.673367:0.459230:0.683415:0.459230:0.683415:0.443763:0.673367:0.443763:0.000000
+:@0.711215:0.459230:0.721263:0.459230:0.721263:0.443763:0.711215:0.443763:0.000000
+:@0.741395:0.459230:0.751443:0.459230:0.751443:0.443763:0.741395:0.443763:0.000000
∀ ∈:@0.773021:0.459230:0.810101:0.459230:0.810101:0.443763:0.773021:0.443763:0.000000:0.000000:0.000000
():@0.651075:0.458626:0.670603:0.458626:0.670603:0.442953:0.651075:0.442953:0.000000:0.000000
,:@0.761943:0.458626:0.764561:0.458626:0.764561:0.442953:0.761943:0.442953:0.000000
,:@0.828233:0.458626:0.830850:0.458626:0.830850:0.442953:0.828233:0.442953:0.000000
2:@0.703008:0.450991:0.707680:0.450991:0.707680:0.441919:0.703008:0.441919:0.000000
fx:@0.644323:0.458735:0.664547:0.458735:0.664547:0.443090:0.644323:0.443090:0.000000:0.000000
ax:@0.686399:0.458735:0.701846:0.458735:0.701846:0.443090:0.686399:0.443090:0.000000:0.000000
bx c:@0.723095:0.458735:0.760504:0.458735:0.760504:0.443090:0.723095:0.443090:0.000000:0.000000:0.000000:0.000000
x:@0.785962:0.458735:0.793064:0.458735:0.793064:0.443090:0.785962:0.443090:0.000000
con  ,  , :@0.638503:0.480303:0.696146:0.480303:0.696146:0.465240:0.638503:0.465240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c :@0.666894:0.480409:0.706489:0.480409:0.706489:0.465372:0.666894:0.465372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.706489:0.480105:0.725539:0.480105:0.725539:0.466732:0.706489:0.466732:0.000000:0.000000
R:@0.725539:0.479419:0.738239:0.479419:0.738239:0.467141:0.725539:0.467141:0.000000
,  ≠ 0, las raíces :@0.738239:0.480303:0.844393:0.480303:0.844393:0.465240:0.738239:0.465240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.744536:0.480409:0.756515:0.480409:0.756515:0.465372:0.744536:0.465372:0.000000:0.000000
reales  ,    de la ecuación  :@0.638503:0.496145:0.815706:0.496145:0.815706:0.481082:0.638503:0.481082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.678344:0.496251:0.702814:0.496251:0.702814:0.481214:0.678344:0.481214:0.000000:0.000000:0.000000
1:@0.685169:0.499137:0.689691:0.499137:0.689691:0.490355:0.685169:0.490355:0.000000
2:@0.702812:0.499137:0.707335:0.499137:0.707335:0.490355:0.702812:0.490355:0.000000
ax:@0.638506:0.512093:0.653545:0.512093:0.653545:0.497056:0.638506:0.497056:0.000000:0.000000
2:@0.653542:0.506187:0.658064:0.506187:0.658064:0.497405:0.653542:0.497405:0.000000
 +   +   = 0 satisfacen las :@0.658065:0.511987:0.830006:0.511987:0.830006:0.496924:0.658065:0.496924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx c:@0.675497:0.512093:0.714775:0.512093:0.714775:0.497056:0.675497:0.497056:0.000000:0.000000:0.000000:0.000000
relaciones  :@0.638505:0.538523:0.710255:0.538523:0.710255:0.523460:0.638505:0.523460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.729988:0.539473:0.740565:0.539473:0.740565:0.523192:0.729988:0.523192:0.000000
= −:@0.762874:0.539473:0.787938:0.539473:0.787938:0.523192:0.762874:0.523192:0.000000:0.000000:0.000000
1:@0.721666:0.541056:0.726583:0.541056:0.726583:0.531507:0.721666:0.531507:0.000000
2:@0.752609:0.541056:0.757526:0.541056:0.757526:0.531507:0.752609:0.531507:0.000000
x:@0.713970:0.538953:0.721444:0.538953:0.721444:0.522484:0.713970:0.522484:0.000000
x:@0.744447:0.538953:0.751922:0.538953:0.751922:0.522484:0.744447:0.522484:0.000000
b:@0.791127:0.529641:0.800394:0.529641:0.800394:0.513172:0.791127:0.513172:0.000000
a:@0.791553:0.549914:0.800531:0.549914:0.800531:0.533445:0.791553:0.533445:0.000000
 y  :@0.805741:0.538516:0.824228:0.538516:0.824228:0.523453:0.805741:0.523453:0.000000:0.000000:0.000000:0.000000
⋅:@0.657403:0.566002:0.662220:0.566002:0.662220:0.549722:0.657403:0.549722:0.000000
=:@0.683065:0.566002:0.693641:0.566002:0.693641:0.549722:0.683065:0.549722:0.000000
1:@0.649917:0.567585:0.654834:0.567585:0.654834:0.558036:0.649917:0.558036:0.000000
2:@0.672798:0.567585:0.677716:0.567585:0.677716:0.558036:0.672798:0.558036:0.000000
xx:@0.642221:0.565482:0.672101:0.565482:0.672101:0.549013:0.642221:0.549013:0.000000:0.000000
c:@0.699708:0.556170:0.706894:0.556170:0.706894:0.539701:0.699708:0.539701:0.000000
a:@0.699075:0.576443:0.708053:0.576443:0.708053:0.559974:0.699075:0.559974:0.000000
. :@0.712214:0.566303:0.718511:0.566303:0.718511:0.551240:0.712214:0.551240:0.000000:0.000000
Además, la función   se :@0.638512:0.589274:0.791721:0.589274:0.791721:0.574211:0.638512:0.574211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.766936:0.589379:0.770859:0.589379:0.770859:0.574343:0.766936:0.574343:0.000000
factoriza en la forma:@0.638512:0.605116:0.770998:0.605116:0.770998:0.590053:0.638512:0.590053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
() =(:@0.649789:0.621075:0.699903:0.621075:0.699903:0.605234:0.649789:0.605234:0.000000:0.000000:0.000000:0.000000:0.000000
)(:@0.736069:0.621075:0.747168:0.621075:0.747168:0.605234:0.736069:0.605234:0.000000:0.000000
),:@0.784888:0.621075:0.794322:0.621075:0.794322:0.605234:0.784888:0.605234:0.000000:0.000000
.:@0.845102:0.621075:0.847747:0.621075:0.847747:0.605234:0.845102:0.605234:0.000000
1:@0.730772:0.623206:0.735494:0.623206:0.735494:0.614037:0.730772:0.614037:0.000000
2:@0.778473:0.623206:0.783195:0.623206:0.783195:0.614037:0.778473:0.614037:0.000000
fx:@0.642953:0.621186:0.663394:0.621186:0.663394:0.605372:0.642953:0.605372:0.000000:0.000000
ax xx x:@0.685778:0.621186:0.777811:0.621186:0.777811:0.605372:0.685778:0.605372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.802747:0.621186:0.809925:0.621186:0.809925:0.605372:0.802747:0.605372:0.000000
−:@0.710465:0.621686:0.720621:0.621686:0.720621:0.606053:0.710465:0.606053:0.000000
−:@0.757711:0.621686:0.767867:0.621686:0.767867:0.606053:0.757711:0.606053:0.000000
∈:@0.814115:0.621686:0.827305:0.621686:0.827305:0.606053:0.814115:0.606053:0.000000
Obsérvese la equivalencia:@0.638503:0.643714:0.807065:0.643714:0.807065:0.628650:0.638503:0.628650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.744682:0.668463:0.706937:0.668463:0.706937:0.653135:0.744682:0.653135:0.000000
− −:@0.792384:0.668463:0.703476:0.667206:0.703476:0.651878:0.792384:0.653135:0.000000:0.000000:0.000000
() =0:@0.648915:0.667864:0.691909:0.667864:0.691909:0.652332:0.648915:0.652332:0.000000:0.000000:0.000000:0.000000:0.000000
( (:@0.728112:0.667864:0.730265:0.666607:0.730265:0.651075:0.728112:0.652332:0.000000:0.000000:0.000000
)( )(:@0.770555:0.667864:0.777976:0.666607:0.777976:0.651075:0.770555:0.652332:0.000000:0.000000:0.000000:0.000000:0.000000
) =0:@0.819781:0.667864:0.849019:0.667864:0.849019:0.652332:0.819781:0.652332:0.000000:0.000000:0.000000:0.000000
1 1:@0.765530:0.669954:0.766700:0.668697:0.766700:0.659707:0.765530:0.660964:0.000000:0.000000:0.000000
2 2:@0.813686:0.669954:0.814856:0.668697:0.814856:0.659707:0.813686:0.660964:0.000000:0.000000:0.000000
fx:@0.642212:0.667973:0.662255:0.667973:0.662255:0.652468:0.642212:0.652468:0.000000:0.000000
a xxxx:@0.719890:0.667973:0.813028:0.667973:0.813028:0.652468:0.719890:0.652468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.691794:0.667392:0.715825:0.667392:0.715825:0.652329:0.691794:0.652329:0.000000:0.000000:0.000000
−:@0.788923:0.667206:0.751178:0.667206:0.751178:0.651878:0.788923:0.651878:0.000000
() =0:@0.645456:0.666607:0.688442:0.666607:0.688442:0.651075:0.645456:0.651075:0.000000:0.000000:0.000000:0.000000:0.000000
) =0:@0.816338:0.666607:0.845576:0.666607:0.845576:0.651075:0.816338:0.651075:0.000000:0.000000:0.000000:0.000000
fx:@0.638753:0.666716:0.658795:0.666716:0.658795:0.651211:0.638753:0.651211:0.000000:0.000000
a xxxx:@0.716430:0.666716:0.809568:0.666716:0.809568:0.651211:0.716430:0.651211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y siendo  ≠ 0, se deduce :@0.638503:0.690362:0.805183:0.690362:0.805183:0.675299:0.638503:0.675299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.696127:0.690468:0.708105:0.690468:0.708105:0.675431:0.696127:0.675431:0.000000:0.000000
x x:@0.647845:0.712416:0.677474:0.712416:0.677474:0.696771:0.647845:0.696771:0.000000:0.000000:0.000000
1:@0.677684:0.714414:0.682355:0.714414:0.682355:0.705343:0.677684:0.705343:0.000000
=0,o:@0.685742:0.712306:0.720900:0.712306:0.720900:0.696633:0.685742:0.696633:0.000000:0.000000:0.000000:0.000000
x x:@0.647845:0.733768:0.677474:0.733768:0.677474:0.718122:0.647845:0.718122:0.000000:0.000000:0.000000
2:@0.678133:0.735766:0.682804:0.735766:0.682804:0.726694:0.678133:0.726694:0.000000
=0:@0.687283:0.733658:0.708239:0.733658:0.708239:0.717985:0.687283:0.717985:0.000000:0.000000
x x:@0.763027:0.712006:0.794251:0.712006:0.794251:0.696361:0.763027:0.696361:0.000000:0.000000:0.000000
=:@0.773569:0.711896:0.783837:0.711896:0.783837:0.696224:0.773569:0.696224:0.000000
1,:@0.794460:0.714004:0.800604:0.714004:0.800604:0.704933:0.794460:0.704933:0.000000:0.000000
o:@0.804954:0.711896:0.814013:0.711896:0.814013:0.696224:0.804954:0.696224:0.000000
x x:@0.763027:0.734177:0.794251:0.734177:0.794251:0.718532:0.763027:0.718532:0.000000:0.000000:0.000000
=:@0.773569:0.734068:0.783837:0.734068:0.783837:0.718395:0.773569:0.718395:0.000000
2:@0.794907:0.736176:0.799579:0.736176:0.799579:0.727104:0.794907:0.727104:0.000000
 :@0.818163:0.727791:0.821945:0.727791:0.821945:0.712727:0.818163:0.712727:0.000000
Este último resultado muestra :@0.638498:0.766603:0.837473:0.766603:0.837473:0.751540:0.638498:0.751540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que la ecuación de segundo :@0.638498:0.782445:0.823841:0.782445:0.823841:0.767382:0.638498:0.767382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grado tiene, a lo más, dos raíces :@0.638498:0.798287:0.845950:0.798287:0.845950:0.783224:0.638498:0.783224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales y distintas.:@0.638498:0.814129:0.746146:0.814129:0.746146:0.799066:0.638498:0.799066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.804531:0.736411:0.807046:0.736411:0.807046:0.721348:0.804531:0.721348:0.000000
2.:@0.108233:0.096411:0.120505:0.096411:0.120505:0.079697:0.108233:0.079697:0.000000:0.000000
   Si es posible, factoriza la función   definida por :@0.120506:0.096194:0.464385:0.096194:0.464385:0.079697:0.120506:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.364342:0.096310:0.368639:0.096310:0.368639:0.079841:0.364342:0.079841:0.000000
+:@0.200162:0.116067:0.210738:0.116067:0.210738:0.099786:0.200162:0.099786:0.000000
+:@0.232624:0.116067:0.243200:0.116067:0.243200:0.099786:0.232624:0.099786:0.000000
∀∈:@0.266704:0.116067:0.305735:0.116067:0.305735:0.099786:0.266704:0.099786:0.000000:0.000000
()=:@0.144928:0.115431:0.179182:0.115431:0.179182:0.098933:0.144928:0.098933:0.000000:0.000000:0.000000
2:@0.212665:0.115431:0.221161:0.115431:0.221161:0.098933:0.212665:0.098933:0.000000
2,:@0.245127:0.115431:0.257784:0.115431:0.257784:0.098933:0.245127:0.098933:0.000000:0.000000
.:@0.324076:0.115431:0.326831:0.115431:0.326831:0.098933:0.324076:0.098933:0.000000
2:@0.191524:0.107395:0.196442:0.107395:0.196442:0.097846:0.191524:0.097846:0.000000
fx:@0.137811:0.115547:0.159099:0.115547:0.159099:0.099078:0.137811:0.099078:0.000000:0.000000
x:@0.182834:0.115547:0.190309:0.115547:0.190309:0.099078:0.182834:0.099078:0.000000
x:@0.222578:0.115547:0.230053:0.115547:0.230053:0.099078:0.222578:0.099078:0.000000
x:@0.280316:0.115547:0.287791:0.115547:0.287791:0.099078:0.280316:0.099078:0.000000
 :@0.108233:0.146197:0.112375:0.146197:0.112375:0.129699:0.108233:0.129699:0.000000
  En primer lugar, estudiemos la existencia de raíces reales de la :@0.131687:0.146197:0.599874:0.146197:0.599874:0.129699:0.131687:0.129699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación   + 2  + 2 = 0.  Para el efecto, calculamos el discrimi-:@0.131680:0.163548:0.595680:0.163548:0.595680:0.147050:0.131680:0.147050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.200688:0.163663:0.208163:0.163663:0.208163:0.147195:0.200688:0.147195:0.000000
2:@0.207984:0.157195:0.212937:0.157195:0.212937:0.147577:0.207984:0.147577:0.000000
x:@0.244189:0.163663:0.251664:0.163663:0.251664:0.147195:0.244189:0.147195:0.000000
nante   de dicha ecuación. Tenemos   = 1,   = 2,   = 2, luego,  :@0.131699:0.180899:0.599960:0.180899:0.599960:0.164401:0.131699:0.164401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.178282:0.181014:0.187453:0.181014:0.187453:0.164545:0.178282:0.164545:0.000000
a:@0.404797:0.181014:0.413775:0.181014:0.413775:0.164545:0.404797:0.164545:0.000000
b:@0.455317:0.181014:0.464583:0.181014:0.464583:0.164545:0.455317:0.164545:0.000000
c:@0.506138:0.181014:0.513324:0.181014:0.513324:0.164545:0.506138:0.164545:0.000000
d b:@0.131737:0.198365:0.168496:0.198365:0.168496:0.181896:0.131737:0.181896:0.000000:0.000000:0.000000
 =   – 4 c = 4 – 8 = –4 < 0. :@0.140715:0.198249:0.340295:0.198249:0.340295:0.181752:0.140715:0.181752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.168252:0.191896:0.173205:0.191896:0.173205:0.182278:0.168252:0.182278:0.000000
a:@0.199601:0.198365:0.208578:0.198365:0.208578:0.181896:0.199601:0.181896:0.000000
 :@0.108226:0.222728:0.112368:0.222728:0.112368:0.206230:0.108226:0.206230:0.000000
La ecuación   + 2  + 2 = 0  no tiene raíces reales, por lo tanto, la función :@0.131671:0.222728:0.599919:0.222728:0.599919:0.206230:0.131671:0.206230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.213951:0.222843:0.221426:0.222843:0.221426:0.206375:0.213951:0.206375:0.000000
2:@0.221246:0.216376:0.226200:0.216376:0.226200:0.206758:0.221246:0.206758:0.000000
x:@0.248667:0.222843:0.256142:0.222843:0.256142:0.206375:0.248667:0.206375:0.000000
 :@0.595769:0.222728:0.599911:0.222728:0.599911:0.206230:0.595769:0.206230:0.000000
real  no puede factorizarse en la forma :@0.131688:0.240078:0.393249:0.240078:0.393249:0.223581:0.131688:0.223581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.158390:0.240194:0.162686:0.240194:0.162686:0.223725:0.158390:0.223725:0.000000
() =(:@0.403296:0.239531:0.444971:0.239531:0.444971:0.223549:0.403296:0.223549:0.000000:0.000000:0.000000:0.000000:0.000000
)(:@0.481458:0.239531:0.492656:0.239531:0.492656:0.223549:0.481458:0.223549:0.000000:0.000000
),:@0.530710:0.239531:0.540228:0.239531:0.540228:0.223549:0.530710:0.223549:0.000000:0.000000
,:@0.591603:0.239531:0.594272:0.239531:0.594272:0.223549:0.591603:0.223549:0.000000
1:@0.476124:0.241681:0.480888:0.241681:0.480888:0.232431:0.476124:0.232431:0.000000
2:@0.524248:0.241681:0.529012:0.241681:0.529012:0.232431:0.524248:0.232431:0.000000
fx:@0.396399:0.239643:0.417022:0.239643:0.417022:0.223689:0.396399:0.223689:0.000000:0.000000
xx xx:@0.445689:0.239643:0.523570:0.239643:0.523570:0.223689:0.445689:0.223689:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.548187:0.239643:0.555428:0.239643:0.555428:0.223689:0.548187:0.223689:0.000000
−:@0.455636:0.240147:0.465882:0.240147:0.465882:0.224375:0.455636:0.224375:0.000000
−:@0.503302:0.240147:0.513548:0.240147:0.513548:0.224375:0.503302:0.224375:0.000000
∈:@0.559646:0.240147:0.572953:0.240147:0.572953:0.224375:0.559646:0.224375:0.000000
   :@0.595768:0.240078:0.599910:0.240078:0.599910:0.223581:0.595768:0.223581:0.000000:0.000000:0.000000
con ,   :@0.131686:0.257429:0.196067:0.257429:0.196067:0.240932:0.131686:0.240932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.162010:0.257545:0.187698:0.257545:0.187698:0.241076:0.162010:0.241076:0.000000:0.000000:0.000000
1:@0.169292:0.260102:0.173815:0.260102:0.173815:0.251320:0.169292:0.251320:0.000000
2:@0.187505:0.260102:0.192028:0.260102:0.192028:0.251320:0.187505:0.251320:0.000000
:@0.195874:0.257212:0.211922:0.257212:0.211922:0.242565:0.195874:0.242565:0.000000
R:@0.211729:0.256460:0.225639:0.256460:0.225639:0.243014:0.211729:0.243014:0.000000
. :@0.225446:0.257429:0.232343:0.257429:0.232343:0.240932:0.225446:0.240932:0.000000:0.000000
 :@0.108236:0.281909:0.112378:0.281909:0.112378:0.265411:0.108236:0.265411:0.000000
Obsérvese que: :@0.131681:0.281909:0.241915:0.281909:0.241915:0.265411:0.131681:0.265411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108236:0.314557:0.112378:0.314557:0.112378:0.298060:0.108236:0.298060:0.000000
() =:@0.144021:0.308167:0.178267:0.308167:0.178267:0.291756:0.144021:0.291756:0.000000:0.000000:0.000000:0.000000
2:@0.211478:0.308167:0.219929:0.308167:0.219929:0.291756:0.211478:0.291756:0.000000
2=(:@0.243348:0.308167:0.274412:0.308167:0.274412:0.291756:0.243348:0.291756:0.000000:0.000000:0.000000
1):@0.296413:0.308167:0.310709:0.308167:0.310709:0.291756:0.296413:0.291756:0.000000:0.000000
1 1,:@0.331042:0.308167:0.364023:0.308167:0.364023:0.291756:0.331042:0.291756:0.000000:0.000000:0.000000:0.000000
,:@0.441234:0.308167:0.443975:0.308167:0.443975:0.291756:0.441234:0.291756:0.000000
2:@0.190682:0.300174:0.195573:0.300174:0.195573:0.290675:0.190682:0.290675:0.000000
2:@0.311031:0.300174:0.315923:0.300174:0.315923:0.290675:0.311031:0.290675:0.000000
fx:@0.136940:0.308282:0.158116:0.308282:0.158116:0.291900:0.136940:0.291900:0.000000:0.000000
x:@0.182033:0.308282:0.189468:0.308282:0.189468:0.291900:0.182033:0.291900:0.000000
x:@0.221300:0.308282:0.228735:0.308282:0.228735:0.291900:0.221300:0.291900:0.000000
x:@0.275149:0.308282:0.282584:0.308282:0.282584:0.291900:0.275149:0.291900:0.000000
x:@0.396648:0.308282:0.404084:0.308282:0.404084:0.291900:0.396648:0.291900:0.000000
+:@0.199222:0.308800:0.209743:0.308800:0.209743:0.292605:0.199222:0.292605:0.000000
+:@0.231092:0.308800:0.241613:0.308800:0.241613:0.292605:0.231092:0.292605:0.000000
+:@0.284942:0.308800:0.295463:0.308800:0.295463:0.292605:0.284942:0.292605:0.000000
+ ≥:@0.319571:0.308800:0.351345:0.308800:0.351345:0.292605:0.319571:0.292605:0.000000:0.000000:0.000000
∀ ∈:@0.383119:0.308800:0.422079:0.308800:0.422079:0.292605:0.383119:0.292605:0.000000:0.000000:0.000000
 :@0.108233:0.345442:0.112375:0.345442:0.112375:0.328944:0.108233:0.328944:0.000000
x:@0.208615:0.344797:0.214595:0.344797:0.214595:0.331622:0.208615:0.331622:0.000000
:@0.214595:0.344531:0.227433:0.344531:0.227433:0.332813:0.214595:0.332813:0.000000
R:@0.227433:0.343929:0.238561:0.343929:0.238561:0.333172:0.227433:0.333172:0.000000
con lo que :@0.131686:0.332293:0.210481:0.332293:0.210481:0.315795:0.131686:0.315795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mín f x:@0.209961:0.332408:0.262671:0.332408:0.262671:0.315940:0.209961:0.315940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   ( ) = 1. :@0.237703:0.332293:0.302068:0.332293:0.302068:0.315795:0.237703:0.315795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de las raíces. Factorización de funciones cuadráticas:@0.108233:0.381541:0.595780:0.381541:0.595780:0.363858:0.108233:0.363858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos la función cuadrática  , dada por :@0.108233:0.405377:0.447392:0.405377:0.447392:0.388879:0.108233:0.388879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.367405:0.405493:0.371701:0.405493:0.371701:0.389024:0.367405:0.389024:0.000000
+:@0.184771:0.425250:0.195348:0.425250:0.195348:0.408969:0.184771:0.408969:0.000000
+:@0.216559:0.425250:0.227136:0.425250:0.227136:0.408969:0.216559:0.408969:0.000000
∈:@0.262661:0.425250:0.276397:0.425250:0.276397:0.408969:0.262661:0.408969:0.000000
() =:@0.121466:0.424614:0.155739:0.424614:0.155739:0.408116:0.121466:0.408116:0.000000:0.000000:0.000000:0.000000
,:@0.238175:0.424614:0.240930:0.424614:0.240930:0.408116:0.238175:0.408116:0.000000
, donde  ,  , c :@0.295493:0.424614:0.400176:0.424614:0.400176:0.408116:0.295493:0.408116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.176132:0.416577:0.181050:0.416577:0.181050:0.407028:0.176132:0.407028:0.000000
fx:@0.114358:0.424729:0.135646:0.424729:0.135646:0.408261:0.114358:0.408261:0.000000:0.000000
ax:@0.158649:0.424729:0.174909:0.424729:0.174909:0.408261:0.158649:0.408261:0.000000:0.000000
bx cx:@0.197276:0.424729:0.258462:0.424729:0.258462:0.408261:0.197276:0.408261:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.356058:0.424729:0.381199:0.424729:0.381199:0.408261:0.356058:0.408261:0.000000:0.000000:0.000000
:@0.400176:0.424397:0.416223:0.424397:0.416223:0.409750:0.400176:0.409750:0.000000
R:@0.416224:0.423645:0.430134:0.423645:0.430134:0.410198:0.416224:0.410198:0.000000
  con   ≠ 0. :@0.430134:0.424614:0.512974:0.424614:0.512974:0.408116:0.430134:0.408116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.469512:0.424729:0.478490:0.424729:0.478490:0.408261:0.469512:0.408261:0.000000
Calculemos   +  . Tenemos::@0.108231:0.449093:0.312951:0.449092:0.312951:0.432595:0.108231:0.432595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.195252:0.449208:0.202727:0.449208:0.202727:0.432740:0.195252:0.432740:0.000000
1:@0.202727:0.451763:0.207249:0.451763:0.207249:0.442982:0.202727:0.442982:0.000000
x:@0.226342:0.449208:0.233817:0.449208:0.233817:0.432739:0.226342:0.432739:0.000000
2:@0.233816:0.451763:0.238338:0.451763:0.238338:0.442982:0.233816:0.442982:0.000000
=:@0.151308:0.482093:0.160148:0.482093:0.160148:0.468599:0.151308:0.468599:0.000000
4:@0.230945:0.474477:0.237894:0.474477:0.237894:0.460983:0.230945:0.460983:0.000000
2:@0.200892:0.491091:0.207841:0.491091:0.207841:0.477598:0.200892:0.477598:0.000000
4:@0.336071:0.474476:0.343020:0.474476:0.343020:0.460982:0.336071:0.460982:0.000000
2:@0.306012:0.491091:0.312961:0.491091:0.312961:0.477598:0.306012:0.477598:0.000000
=:@0.361761:0.482091:0.370600:0.482091:0.370600:0.468598:0.361761:0.468598:0.000000
4:@0.441397:0.474475:0.448346:0.474475:0.448346:0.460982:0.441397:0.460982:0.000000
4:@0.534569:0.474475:0.541518:0.474475:0.541518:0.460982:0.534569:0.460982:0.000000
2:@0.457926:0.491091:0.464875:0.491091:0.464875:0.477598:0.457926:0.477598:0.000000
=:@0.560269:0.482091:0.569109:0.482091:0.569109:0.468598:0.560269:0.468598:0.000000
.:@0.592603:0.482091:0.594856:0.482091:0.594856:0.468598:0.592603:0.468598:0.000000
1:@0.117567:0.483908:0.121590:0.483908:0.121590:0.476098:0.117567:0.476098:0.000000
2:@0.143086:0.483908:0.147108:0.483908:0.147108:0.476098:0.143086:0.476098:0.000000
2:@0.211768:0.467904:0.215790:0.467904:0.215790:0.460093:0.211768:0.460093:0.000000
2:@0.316889:0.467904:0.320911:0.467904:0.320911:0.460093:0.316889:0.460093:0.000000
2:@0.422220:0.467904:0.426242:0.467904:0.426242:0.460093:0.422220:0.460093:0.000000
2:@0.515393:0.467904:0.519415:0.467904:0.519415:0.460093:0.515393:0.460093:0.000000
x:@0.111273:0.482187:0.117387:0.482187:0.117387:0.468717:0.111273:0.468717:0.000000
x:@0.136406:0.482187:0.142520:0.482187:0.142520:0.468717:0.136406:0.468717:0.000000
b:@0.172852:0.474571:0.180431:0.474571:0.180431:0.461101:0.172852:0.461101:0.000000
b:@0.203988:0.474571:0.211567:0.474571:0.211567:0.461101:0.203988:0.461101:0.000000
ac:@0.238449:0.474571:0.251512:0.474571:0.251512:0.461101:0.238449:0.461101:0.000000:0.000000
a:@0.208386:0.491186:0.215728:0.491186:0.215728:0.477716:0.208386:0.477716:0.000000
b:@0.277965:0.474571:0.285544:0.474571:0.285544:0.461101:0.277965:0.461101:0.000000
b:@0.309101:0.474571:0.316680:0.474571:0.316680:0.461101:0.309101:0.461101:0.000000
ac:@0.343562:0.474571:0.356625:0.474571:0.356625:0.461101:0.343562:0.461101:0.000000:0.000000
a:@0.313505:0.491186:0.320848:0.491186:0.320848:0.477716:0.313505:0.477716:0.000000
b:@0.383294:0.474570:0.390873:0.474570:0.390873:0.461100:0.383294:0.461100:0.000000
b:@0.414430:0.474570:0.422009:0.474570:0.422009:0.461100:0.414430:0.461100:0.000000
ac b:@0.448891:0.474570:0.484045:0.474570:0.484045:0.461100:0.448891:0.461100:0.000000:0.000000:0.000000:0.000000
b:@0.507602:0.474570:0.515181:0.474570:0.515181:0.461100:0.507602:0.461100:0.000000
ac:@0.542063:0.474570:0.555125:0.474570:0.555125:0.461100:0.542063:0.461100:0.000000:0.000000
a:@0.465420:0.491186:0.472763:0.491186:0.472763:0.477716:0.465420:0.477716:0.000000
b:@0.582653:0.474570:0.590232:0.474570:0.590232:0.461100:0.582653:0.461100:0.000000
a:@0.582999:0.491186:0.590342:0.491186:0.590342:0.477716:0.582999:0.477716:0.000000
+:@0.124590:0.482613:0.133241:0.482613:0.133241:0.469297:0.124590:0.469297:0.000000
−−:@0.163731:0.474997:0.191101:0.474997:0.191101:0.461681:0.163731:0.461681:0.000000:0.000000
−:@0.219732:0.474997:0.228382:0.474997:0.228382:0.461681:0.219732:0.461681:0.000000
+:@0.256383:0.482613:0.265033:0.482613:0.265033:0.469297:0.256383:0.469297:0.000000
−+:@0.268847:0.474997:0.296217:0.474997:0.296217:0.461681:0.268847:0.461681:0.000000:0.000000
−:@0.324852:0.474996:0.333502:0.474996:0.333502:0.461680:0.324852:0.461680:0.000000
− −:@0.374171:0.474996:0.401542:0.474996:0.401542:0.461680:0.374171:0.461680:0.000000:0.000000:0.000000
−:@0.430188:0.474996:0.438839:0.474996:0.438839:0.461680:0.430188:0.461680:0.000000
−+:@0.465594:0.474996:0.494714:0.474996:0.494714:0.461680:0.465594:0.461680:0.000000:0.000000
−:@0.523360:0.474996:0.532011:0.474996:0.532011:0.461680:0.523360:0.461680:0.000000
−:@0.571451:0.482612:0.580102:0.482612:0.580102:0.469296:0.571451:0.469296:0.000000
           :@0.108233:0.539060:0.153795:0.539060:0.153795:0.522562:0.108233:0.522562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.024352:0.519460:0.031301:0.519460:0.031301:0.505967:0.024352:0.505967:0.000000
2:@-0.005712:0.536076:0.001236:0.536076:0.001236:0.522582:-0.005712:0.522582:0.000000
4:@0.129468:0.519460:0.136417:0.519460:0.136417:0.505967:0.129468:0.505967:0.000000
2:@0.099403:0.536076:0.106352:0.536076:0.106352:0.522582:0.099403:0.522582:0.000000
=:@0.155152:0.527076:0.163992:0.527076:0.163992:0.513583:0.155152:0.513583:0.000000
4:@0.234789:0.519460:0.241738:0.519460:0.241738:0.505967:0.234789:0.505967:0.000000
4:@0.327961:0.519460:0.334910:0.519460:0.334910:0.505967:0.327961:0.505967:0.000000
2:@0.251318:0.536076:0.258267:0.536076:0.258267:0.522582:0.251318:0.522582:0.000000
=:@0.353661:0.527076:0.362500:0.527076:0.362500:0.513583:0.353661:0.513583:0.000000
.:@0.385994:0.527076:0.388248:0.527076:0.388248:0.513583:0.385994:0.513583:0.000000
2:@0.005179:0.512888:0.009201:0.512888:0.009201:0.505078:0.005179:0.505078:0.000000
2:@0.110300:0.512888:0.114322:0.512888:0.114322:0.505078:0.110300:0.505078:0.000000
2:@0.215630:0.512888:0.219652:0.512888:0.219652:0.505078:0.215630:0.505078:0.000000
2:@0.308804:0.512888:0.312826:0.512888:0.312826:0.505078:0.308804:0.505078:0.000000
b:@-0.002605:0.519555:0.004974:0.519555:0.004974:0.506085:-0.002605:0.506085:0.000000
ac:@0.031856:0.519555:0.044919:0.519555:0.044919:0.506085:0.031856:0.506085:0.000000:0.000000
a:@0.001792:0.536170:0.009134:0.536170:0.009134:0.522701:0.001792:0.522701:0.000000
b:@0.071375:0.519555:0.078954:0.519555:0.078954:0.506085:0.071375:0.506085:0.000000
b:@0.102511:0.519555:0.110090:0.519555:0.110090:0.506085:0.102511:0.506085:0.000000
ac:@0.136972:0.519555:0.150035:0.519555:0.150035:0.506085:0.136972:0.506085:0.000000:0.000000
a:@0.106907:0.536170:0.114250:0.536170:0.114250:0.522701:0.106907:0.522701:0.000000
b:@0.176705:0.519554:0.184284:0.519554:0.184284:0.506084:0.176705:0.506084:0.000000
b:@0.207841:0.519554:0.215420:0.519554:0.215420:0.506084:0.207841:0.506084:0.000000
ac b:@0.242302:0.519554:0.277456:0.519554:0.277456:0.506084:0.242302:0.506084:0.000000:0.000000:0.000000:0.000000
b:@0.301013:0.519554:0.308592:0.519554:0.308592:0.506084:0.301013:0.506084:0.000000
ac:@0.335474:0.519554:0.348537:0.519554:0.348537:0.506084:0.335474:0.506084:0.000000:0.000000
a:@0.258832:0.536169:0.266175:0.536169:0.266175:0.522700:0.258832:0.522700:0.000000
b:@0.376069:0.519554:0.383648:0.519554:0.383648:0.506084:0.376069:0.506084:0.000000
a:@0.376410:0.536169:0.383753:0.536169:0.383753:0.522700:0.376410:0.522700:0.000000
−:@0.013145:0.519980:0.021796:0.519980:0.021796:0.506663:0.013145:0.506663:0.000000
+:@0.049797:0.527596:0.058447:0.527596:0.058447:0.514279:0.049797:0.514279:0.000000
−+:@0.062260:0.519980:0.089631:0.519980:0.089631:0.506663:0.062260:0.506663:0.000000:0.000000
−:@0.118261:0.519980:0.126912:0.519980:0.126912:0.506663:0.118261:0.506663:0.000000
− −:@0.167581:0.519980:0.194948:0.519980:0.194948:0.506664:0.167581:0.506663:0.000000:0.000000:0.000000
−:@0.223595:0.519980:0.232245:0.519980:0.232245:0.506664:0.223595:0.506664:0.000000
−+:@0.259001:0.519980:0.288120:0.519980:0.288120:0.506664:0.259001:0.506664:0.000000:0.000000
−:@0.316767:0.519980:0.325417:0.519980:0.325417:0.506664:0.316767:0.506664:0.000000
−:@0.364857:0.527596:0.373508:0.527596:0.373508:0.514280:0.364857:0.514280:0.000000
Luego, la suma de las raíces  ,   de la ecuación de segundo grado :@0.108233:0.556410:0.599891:0.556410:0.599891:0.539913:0.108233:0.539913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.314256:0.556526:0.342261:0.556526:0.342261:0.540057:0.314256:0.540057:0.000000:0.000000:0.000000
1:@0.321749:0.559083:0.326272:0.559083:0.326272:0.550301:0.321749:0.550301:0.000000
2:@0.342264:0.559083:0.346787:0.559083:0.346787:0.550301:0.342264:0.550301:0.000000
satisfacen la relación  :@0.108224:0.586586:0.260477:0.586586:0.260477:0.570089:0.108224:0.570089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.313150:0.586586:0.323958:0.586586:0.323958:0.570088:0.313150:0.570088:0.000000
.:@0.352682:0.586586:0.355437:0.586586:0.355437:0.570088:0.352682:0.570088:0.000000
1:@0.271897:0.588804:0.276815:0.588804:0.276815:0.579256:0.271897:0.579256:0.000000
2:@0.303097:0.588804:0.308014:0.588804:0.308014:0.579256:0.303097:0.579256:0.000000
x:@0.264201:0.586701:0.271676:0.586701:0.271676:0.570233:0.264201:0.570233:0.000000
x:@0.294929:0.586701:0.302404:0.586701:0.302404:0.570233:0.294929:0.570233:0.000000
b:@0.340530:0.577390:0.349797:0.577390:0.349797:0.560921:0.340530:0.560921:0.000000
a:@0.340949:0.597703:0.349927:0.597703:0.349927:0.581234:0.340949:0.581234:0.000000
+:@0.280475:0.587220:0.291052:0.587220:0.291052:0.570939:0.280475:0.570939:0.000000
−:@0.326808:0.587220:0.337385:0.587220:0.337385:0.570939:0.326808:0.570939:0.000000
Calculemos    ∙   ::@0.108233:0.611064:0.241324:0.611064:0.241324:0.594566:0.108233:0.594566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.199394:0.611180:0.229905:0.611180:0.229905:0.594711:0.199394:0.594711:0.000000:0.000000:0.000000
1:@0.206869:0.613736:0.211392:0.613736:0.211392:0.604955:0.206869:0.604955:0.000000
2:@0.229906:0.613736:0.234428:0.613736:0.234428:0.604955:0.229906:0.604955:0.000000
xx:@0.111368:0.650303:0.136363:0.650303:0.136363:0.636410:0.111368:0.636410:0.000000:0.000000
b:@0.167891:0.642411:0.175708:0.642411:0.175708:0.628519:0.167891:0.628519:0.000000
b:@0.199647:0.642411:0.207464:0.642411:0.207464:0.628519:0.199647:0.628519:0.000000
ac:@0.234750:0.642411:0.248222:0.642411:0.248222:0.628519:0.234750:0.628519:0.000000:0.000000
a:@0.204148:0.659585:0.211721:0.659585:0.211721:0.645692:0.204148:0.645692:0.000000
b:@0.268358:0.642411:0.276175:0.642411:0.276175:0.628519:0.268358:0.628519:0.000000
b:@0.300113:0.642411:0.307930:0.642411:0.307930:0.628519:0.300113:0.628519:0.000000
ac:@0.335217:0.642411:0.348689:0.642411:0.348689:0.628519:0.335217:0.628519:0.000000:0.000000
a:@0.304615:0.659585:0.312188:0.659585:0.312188:0.645692:0.304615:0.645692:0.000000
b:@0.394357:0.637541:0.402174:0.637541:0.402174:0.623649:0.394357:0.623649:0.000000
acb:@0.429461:0.637541:0.465376:0.637541:0.465376:0.623649:0.429461:0.623649:0.000000:0.000000:0.000000
b:@0.488730:0.637541:0.496547:0.637541:0.496547:0.623649:0.488730:0.623649:0.000000
acb:@0.523833:0.637541:0.559749:0.637541:0.559749:0.623649:0.523833:0.623649:0.000000:0.000000:0.000000
a:@0.468724:0.659581:0.476297:0.659581:0.476297:0.645689:0.468724:0.645689:0.000000
c:@0.583720:0.642408:0.589782:0.642408:0.589782:0.628515:0.583720:0.628515:0.000000
a:@0.583183:0.659581:0.590757:0.659581:0.590757:0.645689:0.583183:0.645689:0.000000
=:@0.145505:0.650205:0.154623:0.650205:0.154623:0.636288:0.145505:0.636288:0.000000
4:@0.227023:0.642314:0.234190:0.642314:0.234190:0.628397:0.227023:0.628397:0.000000
2:@0.196421:0.659487:0.203588:0.659487:0.203588:0.645570:0.196421:0.645570:0.000000
4:@0.327490:0.642314:0.334657:0.642314:0.334657:0.628397:0.327490:0.628397:0.000000
2:@0.296888:0.659487:0.304055:0.659487:0.304055:0.645570:0.296888:0.645570:0.000000
=:@0.354170:0.650205:0.363287:0.650205:0.363287:0.636288:0.354170:0.636288:0.000000
4:@0.421744:0.637447:0.428911:0.637447:0.428911:0.623530:0.421744:0.623530:0.000000
4:@0.516116:0.637447:0.523283:0.637447:0.523283:0.623530:0.516116:0.623530:0.000000
4:@0.461007:0.659487:0.468174:0.659487:0.468174:0.645570:0.461007:0.645570:0.000000
.:@0.593360:0.650205:0.595684:0.650205:0.595684:0.636288:0.593360:0.636288:0.000000
1:@0.117860:0.652076:0.122009:0.652076:0.122009:0.644021:0.117860:0.644021:0.000000
2:@0.136937:0.652076:0.141085:0.652076:0.141085:0.644021:0.136937:0.644021:0.000000
2:@0.207685:0.635538:0.211834:0.635538:0.211834:0.627483:0.207685:0.627483:0.000000
2:@0.308156:0.635538:0.312304:0.635538:0.312304:0.627483:0.308156:0.627483:0.000000
2:@0.402399:0.630667:0.406548:0.630667:0.406548:0.622611:0.402399:0.622611:0.000000
2:@0.496774:0.630667:0.500923:0.630667:0.500923:0.622611:0.496774:0.622611:0.000000
2:@0.476419:0.652707:0.480567:0.652707:0.480567:0.644652:0.476419:0.644652:0.000000
(:@0.377355:0.645125:0.382767:0.645125:0.382767:0.615597:0.377355:0.615597:0.000000
)(:@0.465942:0.645125:0.477139:0.645125:0.477139:0.615597:0.465942:0.615597:0.000000:0.000000
):@0.560315:0.645125:0.565726:0.645125:0.565726:0.615597:0.560315:0.615597:0.000000
⋅:@0.124131:0.650742:0.128194:0.650742:0.128194:0.637008:0.124131:0.637008:0.000000
−−:@0.158487:0.642851:0.186537:0.642851:0.186537:0.629117:0.158487:0.629117:0.000000:0.000000
−:@0.215627:0.642851:0.224549:0.642851:0.224549:0.629117:0.215627:0.629117:0.000000
⋅:@0.252372:0.650742:0.256434:0.650742:0.256434:0.637008:0.252372:0.637008:0.000000
−+:@0.258954:0.642851:0.287004:0.642851:0.287004:0.629117:0.258954:0.629117:0.000000:0.000000
−:@0.316094:0.642851:0.325016:0.642851:0.325016:0.629117:0.316094:0.629117:0.000000
−:@0.365873:0.650742:0.374795:0.650742:0.374795:0.637008:0.365873:0.637008:0.000000
−:@0.410337:0.637984:0.419259:0.637984:0.419259:0.624250:0.410337:0.624250:0.000000
+:@0.446513:0.637984:0.455435:0.637984:0.455435:0.624250:0.446513:0.624250:0.000000
−:@0.504710:0.637984:0.513632:0.637984:0.513632:0.624250:0.504710:0.624250:0.000000
−:@0.540886:0.637984:0.549808:0.637984:0.549808:0.624250:0.540886:0.624250:0.000000
=:@0.569537:0.650742:0.578459:0.650742:0.578459:0.637008:0.569537:0.637008:0.000000
 :@0.351999:0.664768:0.356141:0.664768:0.356141:0.648271:0.351999:0.648271:0.000000
         :@0.108236:0.718469:0.145514:0.718469:0.145514:0.701971:0.108236:0.701971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@-0.006843:0.696114:0.000974:0.696114:0.000974:0.682222:-0.006843:0.682222:0.000000
ac:@0.028260:0.696114:0.041733:0.696114:0.041733:0.682222:0.028260:0.682222:0.000000:0.000000
a:@-0.002341:0.713288:0.005232:0.713288:0.005232:0.699396:-0.002341:0.699396:0.000000
b:@0.061869:0.696114:0.069685:0.696114:0.069685:0.682222:0.061869:0.682222:0.000000
b:@0.093624:0.696114:0.101441:0.696114:0.101441:0.682222:0.093624:0.682222:0.000000
ac:@0.128727:0.696114:0.142200:0.696114:0.142200:0.682222:0.128727:0.682222:0.000000:0.000000
a:@0.098126:0.713288:0.105699:0.713288:0.105699:0.699396:0.098126:0.699396:0.000000
b:@0.187869:0.691246:0.195686:0.691246:0.195686:0.677353:0.187869:0.677353:0.000000
acb:@0.222972:0.691246:0.258888:0.691246:0.258888:0.677353:0.222972:0.677353:0.000000:0.000000:0.000000
b:@0.282241:0.691246:0.290058:0.691246:0.290058:0.677353:0.282241:0.677353:0.000000
acb:@0.317345:0.691246:0.353260:0.691246:0.353260:0.677353:0.317345:0.677353:0.000000:0.000000:0.000000
a:@0.262236:0.713286:0.269809:0.713286:0.269809:0.699393:0.262236:0.699393:0.000000
c:@0.377231:0.696112:0.383293:0.696112:0.383293:0.682220:0.377231:0.682220:0.000000
a:@0.376695:0.713286:0.384268:0.713286:0.384268:0.699393:0.376695:0.699393:0.000000
4:@0.020534:0.696017:0.027701:0.696017:0.027701:0.682100:0.020534:0.682100:0.000000
4:@0.121000:0.696017:0.128167:0.696017:0.128167:0.682100:0.121000:0.682100:0.000000
2:@0.090399:0.713190:0.097566:0.713190:0.097566:0.699274:0.090399:0.699274:0.000000
=:@0.147682:0.703909:0.156799:0.703909:0.156799:0.689992:0.147682:0.689992:0.000000
4:@0.215255:0.691150:0.222422:0.691150:0.222422:0.677233:0.215255:0.677233:0.000000
4:@0.309628:0.691150:0.316795:0.691150:0.316795:0.677233:0.309628:0.677233:0.000000
4:@0.254519:0.713190:0.261686:0.713190:0.261686:0.699274:0.254519:0.699274:0.000000
.:@0.386871:0.703909:0.389195:0.703909:0.389195:0.689992:0.386871:0.689992:0.000000
2:@0.001193:0.689240:0.005341:0.689240:0.005341:0.681185:0.001193:0.681185:0.000000
2:@0.101664:0.689240:0.105812:0.689240:0.105812:0.681185:0.101664:0.681185:0.000000
2:@0.195905:0.684369:0.200053:0.684369:0.200053:0.676314:0.195905:0.676314:0.000000
2:@0.290280:0.684369:0.294428:0.684369:0.294428:0.676314:0.290280:0.676314:0.000000
2:@0.269925:0.706409:0.274073:0.706409:0.274073:0.698354:0.269925:0.698354:0.000000
(:@0.170865:0.698828:0.176277:0.698828:0.176277:0.669300:0.170865:0.669300:0.000000
)(:@0.259452:0.698828:0.270649:0.698828:0.270649:0.669300:0.259452:0.669300:0.000000:0.000000
):@0.353825:0.698828:0.359236:0.698828:0.359236:0.669300:0.353825:0.669300:0.000000
−:@0.009138:0.696554:0.018060:0.696554:0.018060:0.682820:0.009138:0.682820:0.000000
⋅:@0.045882:0.704445:0.049945:0.704445:0.049945:0.690711:0.045882:0.690711:0.000000
−+:@0.052464:0.696554:0.080514:0.696554:0.080514:0.682820:0.052464:0.682820:0.000000:0.000000
−:@0.109604:0.696554:0.118527:0.696554:0.118527:0.682820:0.109604:0.682820:0.000000
−:@0.159383:0.704445:0.168305:0.704445:0.168305:0.690711:0.159383:0.690711:0.000000
−:@0.203847:0.691687:0.212769:0.691687:0.212769:0.677953:0.203847:0.677953:0.000000
+:@0.240023:0.691687:0.248945:0.691687:0.248945:0.677953:0.240023:0.677953:0.000000
−:@0.298220:0.691687:0.307142:0.691687:0.307142:0.677953:0.298220:0.677953:0.000000
−:@0.334396:0.691687:0.343318:0.691687:0.343318:0.677953:0.334396:0.677953:0.000000
=:@0.363047:0.704445:0.371969:0.704445:0.371969:0.690711:0.363047:0.690711:0.000000
 :@0.405896:0.718471:0.410038:0.718471:0.410038:0.701974:0.405896:0.701974:0.000000
Por lo tanto, el producto de las raíces  ,   de la ecuación de segundo :@0.108229:0.735822:0.599913:0.735822:0.599913:0.719325:0.108229:0.719325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.372891:0.735938:0.398949:0.735938:0.398949:0.719469:0.372891:0.719469:0.000000:0.000000:0.000000
1:@0.380362:0.738493:0.384885:0.738493:0.384885:0.729712:0.380362:0.729712:0.000000
2:@0.398947:0.738493:0.403470:0.738493:0.403470:0.729712:0.398947:0.729712:0.000000
grado satisface la relación :@0.108231:0.763858:0.296375:0.763858:0.296375:0.747360:0.108231:0.747360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=.   En consecuencia, la función    :@0.342375:0.762603:0.599899:0.763861:0.599899:0.747363:0.342375:0.746105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.309183:0.764822:0.314101:0.764822:0.314101:0.755273:0.309183:0.755273:0.000000
2:@0.332321:0.764822:0.337238:0.764822:0.337238:0.755273:0.332321:0.755273:0.000000
xx:@0.301489:0.762718:0.331639:0.762718:0.331639:0.746250:0.301489:0.746250:0.000000:0.000000
c:@0.358186:0.753407:0.365372:0.753407:0.365372:0.736938:0.358186:0.736938:0.000000
a:@0.357556:0.773720:0.366533:0.773720:0.366533:0.757251:0.357556:0.757251:0.000000
⋅:@0.316931:0.763239:0.321747:0.763239:0.321747:0.746958:0.316931:0.746958:0.000000
f:@0.591421:0.763976:0.595717:0.763976:0.595717:0.747508:0.591421:0.747508:0.000000
se escribe como sigue::@0.108231:0.781211:0.265536:0.781211:0.265536:0.764713:0.108231:0.764714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.111091:0.847932:0.121575:0.847932:0.121575:0.831929:0.111091:0.831929:0.000000
ax x x:@0.124247:0.848044:0.186134:0.848044:0.186134:0.832069:0.124247:0.832069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.149381:0.847932:0.155156:0.847932:0.155156:0.831929:0.149381:0.831929:0.000000
1:@0.186348:0.850084:0.191118:0.850084:0.191118:0.840822:0.186348:0.840822:0.000000
):@0.191477:0.847932:0.197252:0.847932:0.197252:0.831929:0.191477:0.831929:0.000000
+:@0.198691:0.848549:0.208950:0.848549:0.208950:0.832757:0.198691:0.832757:0.000000
x:@0.211734:0.848044:0.218985:0.848044:0.218985:0.832069:0.211734:0.832069:0.000000
2:@0.219660:0.850084:0.224430:0.850084:0.224430:0.840822:0.219660:0.840822:0.000000
(:@0.226312:0.847932:0.232087:0.847932:0.232087:0.831929:0.226312:0.831929:0.000000
x x:@0.242867:0.848044:0.272711:0.848044:0.272711:0.832069:0.242867:0.832069:0.000000:0.000000:0.000000
+:@0.252416:0.848549:0.262676:0.848549:0.262676:0.832757:0.252416:0.832757:0.000000
1:@0.272929:0.850084:0.277699:0.850084:0.277699:0.840822:0.272929:0.840822:0.000000
) =:@0.278059:0.847932:0.303471:0.847932:0.303471:0.831929:0.278059:0.831929:0.000000:0.000000:0.000000
[:@0.133688:0.851256:0.139911:0.851256:0.139911:0.830726:0.133688:0.830726:0.000000
]:@0.284159:0.851256:0.290381:0.851256:0.290381:0.830726:0.284159:0.830726:0.000000
ax x x:@0.306143:0.848044:0.368031:0.848044:0.368031:0.832069:0.306143:0.832069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.331277:0.847932:0.337052:0.847932:0.337052:0.831929:0.331277:0.831929:0.000000
1:@0.368245:0.850084:0.373015:0.850084:0.373015:0.840822:0.368245:0.840822:0.000000
):@0.373373:0.847932:0.379148:0.847932:0.379148:0.831929:0.373373:0.831929:0.000000
x x x:@0.394041:0.848044:0.444962:0.848044:0.444962:0.832069:0.394041:0.832069:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.401963:0.850084:0.406733:0.850084:0.406733:0.840822:0.401963:0.840822:0.000000
(:@0.408615:0.847932:0.414390:0.847932:0.414390:0.831929:0.408615:0.831929:0.000000
+:@0.424668:0.848549:0.434927:0.848549:0.434927:0.832757:0.424668:0.832757:0.000000
1:@0.445177:0.850084:0.449947:0.850084:0.449947:0.840822:0.445177:0.840822:0.000000
) = (:@0.450307:0.847932:0.492649:0.847932:0.492649:0.831929:0.450307:0.831929:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.315586:0.851256:0.321809:0.851256:0.321809:0.830726:0.315586:0.830726:0.000000
]:@0.456395:0.851256:0.462617:0.851256:0.462617:0.830726:0.456395:0.830726:0.000000
a x x x x:@0.478391:0.848044:0.570751:0.848044:0.570751:0.832069:0.478391:0.832069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.523837:0.850084:0.528607:0.850084:0.528607:0.840822:0.523837:0.840822:0.000000
)(:@0.528966:0.847932:0.540179:0.847932:0.540179:0.831929:0.528966:0.831929:0.000000:0.000000
+:@0.550456:0.848549:0.560716:0.848549:0.560716:0.832757:0.550456:0.832757:0.000000
2:@0.571418:0.850084:0.576188:0.850084:0.576188:0.840822:0.571418:0.840822:0.000000
).:@0.577664:0.847932:0.585774:0.847932:0.585774:0.831929:0.577664:0.831929:0.000000:0.000000
f x:@0.111098:0.812813:0.131766:0.812813:0.131766:0.796838:0.111098:0.796838:0.000000:0.000000:0.000000
( )=:@0.118012:0.812701:0.151089:0.812701:0.151089:0.796698:0.118012:0.796698:0.000000:0.000000:0.000000:0.000000
ax:@0.153761:0.812813:0.178839:0.812813:0.178839:0.796838:0.153761:0.796838:0.000000:0.000000
2:@0.180000:0.804912:0.184770:0.804912:0.184770:0.795650:0.180000:0.795650:0.000000
+:@0.188125:0.813323:0.198385:0.813323:0.198385:0.797531:0.188125:0.797531:0.000000
b:@0.201524:0.804249:0.210513:0.804249:0.210513:0.788274:0.201524:0.788274:0.000000
a:@0.201935:0.823842:0.210643:0.823842:0.210643:0.807867:0.201935:0.807867:0.000000
x:@0.213973:0.812818:0.221223:0.812818:0.221223:0.796844:0.213973:0.796844:0.000000
+:@0.223522:0.813323:0.233781:0.813323:0.233781:0.797531:0.223522:0.797531:0.000000
c:@0.237948:0.804249:0.244919:0.804249:0.244919:0.788274:0.237948:0.788274:0.000000
a:@0.237332:0.823842:0.246040:0.823842:0.246040:0.807867:0.237332:0.807867:0.000000
=:@0.257289:0.812706:0.267773:0.812706:0.267773:0.796703:0.257289:0.796703:0.000000
ax:@0.270445:0.812818:0.294402:0.812818:0.294402:0.796844:0.270445:0.796844:0.000000:0.000000
2:@0.295577:0.804912:0.300347:0.804912:0.300347:0.795650:0.295577:0.795650:0.000000
(:@0.316042:0.812706:0.321816:0.812706:0.321816:0.796703:0.316042:0.796703:0.000000
x:@0.322545:0.812818:0.329795:0.812818:0.329795:0.796844:0.322545:0.796844:0.000000
1:@0.330008:0.814859:0.334778:0.814859:0.334778:0.805596:0.330008:0.805596:0.000000
+:@0.337014:0.813323:0.347273:0.813323:0.347273:0.797531:0.337014:0.797531:0.000000
x x x x:@0.350058:0.812818:0.413581:0.812818:0.413581:0.796844:0.350058:0.796844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.357986:0.814859:0.362756:0.814859:0.362756:0.805596:0.357986:0.805596:0.000000
):@0.364233:0.812706:0.370008:0.812706:0.370008:0.796703:0.364233:0.796703:0.000000
+:@0.380641:0.813323:0.390900:0.813323:0.390900:0.797531:0.380641:0.797531:0.000000
1 2:@0.401150:0.814859:0.419021:0.814859:0.419021:0.805596:0.401150:0.805596:0.000000:0.000000:0.000000
=:@0.429688:0.812706:0.440172:0.812706:0.440172:0.796703:0.429688:0.796703:0.000000
ax:@0.442844:0.812818:0.466801:0.812818:0.466801:0.796844:0.442844:0.796844:0.000000:0.000000
2:@0.467979:0.804912:0.472749:0.804912:0.472749:0.795650:0.467979:0.795650:0.000000
x x x x x x:@0.489559:0.812818:0.581512:0.812818:0.581512:0.796844:0.489559:0.796844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.497024:0.814859:0.501794:0.814859:0.501794:0.805596:0.497024:0.805596:0.000000
+:@0.511753:0.813323:0.522013:0.813323:0.522013:0.797531:0.511753:0.797531:0.000000
2:@0.532724:0.814859:0.537494:0.814859:0.537494:0.805596:0.532724:0.805596:0.000000
+:@0.548570:0.813323:0.558829:0.813323:0.558829:0.797531:0.548570:0.797531:0.000000
1 2:@0.569083:0.814859:0.586954:0.814859:0.586954:0.805596:0.569083:0.805596:0.000000:0.000000:0.000000
 :@0.599063:0.864786:0.603205:0.864786:0.603205:0.848288:0.599063:0.848288:0.000000
Nótese que hemos utilizado la propiedad distributiva de los números :@0.108241:0.882137:0.599918:0.882137:0.599918:0.865639:0.108241:0.865639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales y la identidad :@0.108241:0.900109:0.251361:0.900109:0.251361:0.883612:0.108241:0.883612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.262549:0.898386:0.268342:0.898386:0.268342:0.882334:0.262549:0.882334:0.000000
) =:@0.307724:0.898386:0.327012:0.898386:0.327012:0.882334:0.307724:0.882334:0.000000:0.000000:0.000000
(:@0.348587:0.898386:0.354379:0.898386:0.354379:0.882334:0.348587:0.882334:0.000000
),:@0.384089:0.898386:0.393649:0.898386:0.393649:0.882334:0.384089:0.882334:0.000000:0.000000
,,:@0.426208:0.898386:0.442891:0.898386:0.442891:0.882334:0.426208:0.882334:0.000000:0.000000
.:@0.486716:0.898386:0.489396:0.898386:0.489396:0.882334:0.486716:0.882334:0.000000
ab c:@0.254039:0.898498:0.307799:0.898498:0.307799:0.882475:0.254039:0.882475:0.000000:0.000000:0.000000:0.000000
a bc:@0.340077:0.898498:0.384146:0.898498:0.384146:0.882475:0.340077:0.882475:0.000000:0.000000:0.000000:0.000000
ab c:@0.416592:0.898498:0.451607:0.898498:0.451607:0.882475:0.416592:0.882475:0.000000:0.000000:0.000000:0.000000
−+:@0.267967:0.899005:0.298727:0.899005:0.298727:0.883164:0.267967:0.883164:0.000000:0.000000
−:@0.329599:0.899005:0.339890:0.899005:0.339890:0.883164:0.329599:0.883164:0.000000
−:@0.364801:0.899005:0.375092:0.899005:0.375092:0.883164:0.364801:0.883164:0.000000
∀:@0.403337:0.899005:0.416701:0.899005:0.416701:0.883164:0.403337:0.883164:0.000000
∈:@0.455353:0.899005:0.468718:0.899005:0.468718:0.883164:0.455353:0.883164:0.000000
 Así, la función :@0.492374:0.900116:0.599913:0.900116:0.599913:0.883619:0.492374:0.883619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrática   o polinomio de grado 2 con coeficientes en   se escribe :@0.108225:0.917467:0.599929:0.917467:0.599929:0.900969:0.108225:0.900969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.186538:0.917583:0.190834:0.917583:0.190834:0.901114:0.186538:0.901114:0.000000
R:@0.509037:0.916498:0.522947:0.916498:0.522947:0.903051:0.509037:0.903051:0.000000
en la forma :@0.108224:0.934818:0.194031:0.934818:0.194031:0.918320:0.108224:0.918320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
() =(:@0.207900:0.934558:0.259316:0.934558:0.259316:0.918305:0.207900:0.918305:0.000000:0.000000:0.000000:0.000000:0.000000
)(:@0.296422:0.934558:0.307809:0.934558:0.307809:0.918305:0.296422:0.918305:0.000000:0.000000
),:@0.346092:0.934558:0.355771:0.934558:0.355771:0.918305:0.346092:0.918305:0.000000:0.000000
.:@0.412426:0.934558:0.415140:0.934558:0.415140:0.918305:0.412426:0.918305:0.000000
1:@0.290988:0.936744:0.295833:0.936744:0.295833:0.927337:0.290988:0.927337:0.000000
2:@0.339523:0.936744:0.344367:0.936744:0.344367:0.927337:0.339523:0.927337:0.000000
fx:@0.200886:0.934672:0.221858:0.934672:0.221858:0.918447:0.200886:0.918447:0.000000:0.000000
ax xx x:@0.244824:0.934672:0.338850:0.934672:0.338850:0.918447:0.244824:0.918447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.368990:0.934672:0.376354:0.934672:0.376354:0.918447:0.368990:0.918447:0.000000
−:@0.270162:0.935185:0.280582:0.935185:0.280582:0.919145:0.270162:0.919145:0.000000
+:@0.318238:0.935185:0.328658:0.935185:0.328658:0.919145:0.318238:0.919145:0.000000
∈:@0.380643:0.935185:0.394176:0.935185:0.394176:0.919145:0.380643:0.919145:0.000000
 Es decir que la función   :@0.417658:0.934818:0.599944:0.934818:0.599944:0.918320:0.417658:0.918320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.591506:0.934933:0.595802:0.934933:0.595802:0.918465:0.591506:0.918465:0.000000
se ha factorizado.:@0.108239:0.952168:0.231361:0.952168:0.231361:0.935671:0.108239:0.935671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684804:0.104006:0.782426:0.104006:0.782426:0.088533:0.684804:0.088533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684804:0.116574:0.768866:0.116574:0.768866:0.101101:0.684804:0.101101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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
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