﻿:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
2.:@0.096353:0.463553:0.110579:0.463553:0.110579:0.446652:0.096353:0.446652:0.000000:0.000000
  Resolvamos las siguientes ecuaciones cuadráticas incompletas.:@0.110579:0.463553:0.586012:0.463553:0.586012:0.447164:0.110579:0.447164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.124842:0.490951:0.141280:0.490951:0.141280:0.474562:0.124842:0.474562:0.000000:0.000000:0.000000
ax:@0.141280:0.490951:0.158012:0.490951:0.158012:0.474590:0.141280:0.474590:0.000000:0.000000
2:@0.158021:0.484905:0.163264:0.484905:0.163264:0.475350:0.158021:0.475350:0.000000
 +   = 0 con   = 0:@0.163263:0.490952:0.298614:0.490952:0.298614:0.474563:0.163263:0.474563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.182317:0.490952:0.198884:0.490952:0.198884:0.474591:0.182317:0.474591:0.000000:0.000000
c:@0.262901:0.490952:0.270567:0.490952:0.270567:0.474591:0.262901:0.474591:0.000000
5  + 2  = 0;   (5  + 2) = 0:@0.124860:0.514671:0.311163:0.514676:0.311163:0.498287:0.124860:0.498282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.133852:0.514671:0.141316:0.514671:0.141316:0.498310:0.133852:0.498310:0.000000
2:@0.141307:0.508629:0.146550:0.508629:0.146550:0.499074:0.141307:0.499074:0.000000
x:@0.174596:0.514676:0.182059:0.514676:0.182059:0.498315:0.174596:0.498315:0.000000
x x:@0.221384:0.514676:0.250186:0.514676:0.250186:0.498315:0.221384:0.498315:0.000000:0.000000:0.000000
x:@0.124860:0.531273:0.132323:0.531273:0.132323:0.514911:0.124860:0.514911:0.000000
1:@0.132315:0.534436:0.137557:0.534436:0.137557:0.524881:0.132315:0.524881:0.000000
 = 0:@0.137558:0.531273:0.165605:0.531273:0.165605:0.514884:0.137558:0.514884:0.000000:0.000000:0.000000:0.000000
5  + 2 = 0;  5  = –2:@0.124861:0.547869:0.262405:0.547869:0.262405:0.531480:0.124861:0.531480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.133854:0.547869:0.141317:0.547869:0.141317:0.531508:0.133854:0.531508:0.000000
x:@0.217681:0.547869:0.225145:0.547869:0.225145:0.531508:0.217681:0.531508:0.000000
x:@0.125404:0.578092:0.132867:0.578092:0.132867:0.562699:0.125404:0.562699:0.000000
2:@0.132867:0.581256:0.138110:0.581256:0.138110:0.572120:0.132867:0.572120:0.000000
= −:@0.140388:0.577677:0.164119:0.577677:0.164119:0.560735:0.140388:0.560735:0.000000:0.000000:0.000000
5:@0.167661:0.569337:0.176653:0.569337:0.176653:0.553668:0.167661:0.553668:0.000000
2:@0.167237:0.588949:0.176229:0.588949:0.176229:0.573279:0.167237:0.573279:0.000000
Las soluciones de la ecuación son: :@0.124851:0.609968:0.378545:0.609968:0.378545:0.593579:0.124851:0.593579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.124851:0.633756:0.132315:0.633756:0.132315:0.617395:0.124851:0.617395:0.000000
1:@0.132315:0.636920:0.137557:0.636920:0.137557:0.627365:0.132315:0.627365:0.000000
 = 0  y :@0.137558:0.633756:0.185820:0.633756:0.185820:0.617367:0.137558:0.617367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.186341:0.631793:0.193406:0.631793:0.193406:0.617221:0.186341:0.617221:0.000000
2:@0.193406:0.634788:0.198369:0.634788:0.198369:0.626140:0.193406:0.626140:0.000000
= −:@0.200525:0.631400:0.222990:0.631400:0.222990:0.615362:0.200525:0.615362:0.000000:0.000000:0.000000
5:@0.226342:0.623506:0.234855:0.623506:0.234855:0.608672:0.226342:0.608672:0.000000
2:@0.225941:0.642071:0.234454:0.642071:0.234454:0.627237:0.225941:0.627237:0.000000
Si :@0.433518:0.490952:0.449955:0.490952:0.449955:0.474563:0.433518:0.474563:0.000000:0.000000:0.000000
ax:@0.449955:0.490952:0.466687:0.490952:0.466687:0.474591:0.449955:0.474591:0.000000:0.000000
2:@0.466687:0.484905:0.471930:0.484905:0.471930:0.475350:0.466687:0.475350:0.000000
 +   = 0, con   = 0:@0.471929:0.490952:0.603189:0.490952:0.603189:0.474563:0.471929:0.474563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.490983:0.490952:0.498649:0.490952:0.498649:0.474591:0.490983:0.474591:0.000000
b:@0.565873:0.490952:0.575142:0.490952:0.575142:0.474591:0.565873:0.474591:0.000000
4  = 25;  4  – 25 = 0:@0.433526:0.514671:0.588548:0.514676:0.588548:0.498287:0.433526:0.498282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.442519:0.514671:0.449982:0.514671:0.449982:0.498310:0.442519:0.498310:0.000000
2:@0.449974:0.508629:0.455216:0.508629:0.455216:0.499074:0.449974:0.499074:0.000000
x:@0.512525:0.514676:0.519989:0.514676:0.519989:0.498315:0.512525:0.498315:0.000000
2:@0.519989:0.508629:0.525231:0.508629:0.525231:0.499074:0.519989:0.499074:0.000000
(2  + 5)(2  – 5) = 0:@0.433516:0.531273:0.568333:0.531273:0.568333:0.514884:0.433516:0.514884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.447392:0.531273:0.454855:0.531273:0.454855:0.514911:0.447392:0.514911:0.000000
x:@0.501661:0.531273:0.509125:0.531273:0.509125:0.514911:0.501661:0.514911:0.000000
2  + 5 = 0  y  2  – 5 = 0:@0.433516:0.547869:0.601097:0.547869:0.601097:0.531480:0.433516:0.531480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.442509:0.547869:0.449972:0.547869:0.449972:0.531508:0.442509:0.531508:0.000000
x:@0.539309:0.547869:0.546772:0.547869:0.546772:0.531508:0.539309:0.531508:0.000000
x:@0.434071:0.578966:0.441534:0.578966:0.441534:0.563573:0.434071:0.563573:0.000000
1:@0.441534:0.582129:0.446776:0.582129:0.446776:0.572994:0.441534:0.572994:0.000000
= −:@0.449054:0.578551:0.472785:0.578551:0.472785:0.561609:0.449054:0.561609:0.000000:0.000000:0.000000
5:@0.476327:0.570211:0.485319:0.570211:0.485319:0.554541:0.476327:0.554541:0.000000
2:@0.475903:0.589823:0.484896:0.589823:0.484896:0.574153:0.475903:0.574153:0.000000
  y   :@0.485695:0.578977:0.513981:0.578977:0.513981:0.562588:0.485695:0.562588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.514532:0.578091:0.521995:0.578091:0.521995:0.562698:0.514532:0.562698:0.000000
2:@0.521995:0.581254:0.527238:0.581254:0.527238:0.572119:0.521995:0.572119:0.000000
=:@0.529516:0.577676:0.539632:0.577676:0.539632:0.560734:0.529516:0.560734:0.000000
5:@0.546211:0.569336:0.555204:0.569336:0.555204:0.553666:0.546211:0.553666:0.000000
2:@0.545787:0.588947:0.554780:0.588947:0.554780:0.573278:0.545787:0.573278:0.000000
Las soluciones de la ecuación son: :@0.433518:0.609841:0.687211:0.609841:0.687211:0.593452:0.433518:0.593452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.434015:0.634897:0.440732:0.634897:0.440732:0.621043:0.434015:0.621043:0.000000
1:@0.440731:0.637744:0.445450:0.637744:0.445450:0.629523:0.440731:0.629523:0.000000
= −:@0.447499:0.634523:0.468857:0.634523:0.468857:0.619275:0.447499:0.619275:0.000000:0.000000:0.000000
5:@0.472045:0.627019:0.480138:0.627019:0.480138:0.612916:0.472045:0.612916:0.000000
2:@0.471663:0.644669:0.479757:0.644669:0.479757:0.630566:0.471663:0.630566:0.000000
  y   :@0.480476:0.633822:0.508763:0.633822:0.508763:0.617433:0.480476:0.617433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.509316:0.632935:0.516779:0.632935:0.516779:0.617542:0.509316:0.617542:0.000000
2:@0.516779:0.636099:0.522021:0.636099:0.522021:0.626964:0.516779:0.626964:0.000000
=:@0.524299:0.632520:0.534416:0.632520:0.534416:0.615578:0.524299:0.615578:0.000000
5:@0.540994:0.624181:0.549987:0.624181:0.549987:0.608511:0.540994:0.608511:0.000000
2:@0.540571:0.643792:0.549563:0.643792:0.549563:0.628122:0.540571:0.628122:0.000000
O puede escribirse como: :@0.433518:0.671959:0.624721:0.671959:0.624721:0.655571:0.433518:0.655571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.625271:0.671184:0.632734:0.671184:0.632734:0.655791:0.625271:0.655791:0.000000
2:@0.632734:0.674347:0.637977:0.674347:0.637977:0.665212:0.632734:0.665212:0.000000
= ±:@0.640812:0.670769:0.664547:0.670769:0.664547:0.653827:0.640812:0.653827:0.000000:0.000000:0.000000
5:@0.670646:0.662429:0.679639:0.662429:0.679639:0.646759:0.670646:0.646759:0.000000
2:@0.670222:0.682041:0.679215:0.682041:0.679215:0.666371:0.670222:0.666371:0.000000
3.:@0.096359:0.701989:0.110585:0.701989:0.110585:0.685088:0.096359:0.685088:0.000000:0.000000
  Utilicemos el método de completar el trinomio cuadrado perfecto para resolver :@0.110585:0.701989:0.716543:0.701989:0.716543:0.685600:0.110585:0.685600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la siguiente ecuación: 2  – 8  + 3 = 0:@0.124848:0.718585:0.398748:0.718585:0.398748:0.702196:0.124848:0.702196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.296205:0.718585:0.303668:0.718585:0.303668:0.702224:0.296205:0.702224:0.000000
2:@0.303670:0.712538:0.308913:0.712538:0.308913:0.702983:0.303670:0.702983:0.000000
x:@0.335191:0.718585:0.342654:0.718585:0.342654:0.702224:0.335191:0.702224:0.000000
Paso 1.:@0.102121:0.226729:0.154372:0.226729:0.154372:0.211151:0.102121:0.211151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identicamos los coecientes de la :@0.157756:0.226729:0.393844:0.226729:0.393844:0.211830:0.157756:0.211830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.200240:0.226729:0.203909:0.226729:0.203909:0.211830:0.200240:0.211830:0.000000
 :@0.302864:0.226729:0.306532:0.226729:0.306532:0.211830:0.302864:0.211830:0.000000
ecuación:  ( ) = 2  − 5  + 2, obteniendo::@0.102121:0.241817:0.372896:0.241817:0.372896:0.226918:0.102121:0.226918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.169667:0.241817:0.185163:0.241817:0.185163:0.226943:0.169667:0.226943:0.000000:0.000000:0.000000
x:@0.215099:0.241817:0.221884:0.241817:0.221884:0.226943:0.215099:0.226943:0.000000
2:@0.221883:0.236319:0.226649:0.236319:0.226649:0.227633:0.221883:0.227633:0.000000
x:@0.252146:0.241817:0.258931:0.241817:0.258931:0.226943:0.252146:0.226943:0.000000
a:@0.102128:0.264033:0.110555:0.264033:0.110555:0.249159:0.102128:0.249159:0.000000
 = 2,   = −5,   = 2:@0.110555:0.264033:0.225594:0.264033:0.225594:0.249134:0.110555:0.249134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.142636:0.264033:0.151062:0.264033:0.151062:0.249159:0.142636:0.249159:0.000000
c:@0.193127:0.264033:0.200096:0.264033:0.200096:0.249159:0.193127:0.249159:0.000000
Paso 2.:@0.403605:0.226729:0.455855:0.226729:0.455855:0.211151:0.403605:0.211151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicamos la fórmula general.:@0.459239:0.226729:0.656512:0.226729:0.656512:0.211830:0.459239:0.211830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.407134:0.258157:0.413851:0.258157:0.413851:0.243431:0.407134:0.243431:0.000000
b:@0.440768:0.250265:0.449111:0.250265:0.449111:0.235540:0.440768:0.235540:0.000000
b:@0.474403:0.250265:0.482745:0.250265:0.482745:0.235540:0.474403:0.235540:0.000000
ac:@0.511967:0.250265:0.527159:0.250265:0.527159:0.235540:0.511967:0.235540:0.000000:0.000000
a:@0.479842:0.267915:0.488185:0.267915:0.488185:0.253190:0.479842:0.253190:0.000000
x:@0.407134:0.299668:0.413851:0.299668:0.413851:0.284943:0.407134:0.284943:0.000000
=:@0.418114:0.257783:0.427219:0.257783:0.427219:0.242535:0.418114:0.242535:0.000000
−±:@0.431680:0.249892:0.460803:0.249892:0.460803:0.234644:0.431680:0.234644:0.000000:0.000000
−:@0.491983:0.249892:0.501088:0.249892:0.501088:0.234644:0.491983:0.234644:0.000000
=:@0.418097:0.299295:0.427202:0.299295:0.427202:0.284047:0.418097:0.284047:0.000000
−− ±:@0.431663:0.289362:0.483522:0.289360:0.483522:0.274112:0.431663:0.274114:0.000000:0.000000:0.000000:0.000000
( ):@0.442283:0.290935:0.472119:0.290935:0.472119:0.271448:0.442283:0.271448:0.000000:0.000000:0.000000
−:@0.504004:0.289360:0.513110:0.289360:0.513110:0.274112:0.504004:0.274112:0.000000
( ):@0.497127:0.290935:0.526963:0.290935:0.526963:0.271448:0.497127:0.271448:0.000000:0.000000:0.000000
−:@0.535903:0.289360:0.545008:0.289360:0.545008:0.274112:0.535903:0.274112:0.000000
()():@0.557152:0.290935:0.599372:0.290935:0.599372:0.271448:0.557152:0.271448:0.000000:0.000000:0.000000:0.000000
():@0.510228:0.310629:0.530727:0.310629:0.530727:0.291142:0.510228:0.291142:0.000000:0.000000
2:@0.483086:0.243375:0.487777:0.243375:0.487777:0.234827:0.483086:0.234827:0.000000
2:@0.527002:0.281103:0.531693:0.281103:0.531693:0.272555:0.527002:0.272555:0.000000
4:@0.503675:0.250271:0.511768:0.250271:0.511768:0.235521:0.503675:0.235521:0.000000
2:@0.472064:0.267921:0.480158:0.267921:0.480158:0.253171:0.472064:0.253171:0.000000
5:@0.458216:0.289741:0.466309:0.289741:0.466309:0.274991:0.458216:0.274991:0.000000
5:@0.513062:0.289741:0.521156:0.289741:0.521156:0.274991:0.513062:0.274991:0.000000
42 2:@0.547592:0.289741:0.593333:0.289741:0.593333:0.274991:0.547592:0.274991:0.000000:0.000000:0.000000:0.000000
22:@0.501187:0.309433:0.524688:0.309433:0.524688:0.294683:0.501187:0.294683:0.000000:0.000000
Paso 3.:@0.102121:0.332051:0.154372:0.332051:0.154372:0.316473:0.102121:0.316473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolvemos la ecuación.:@0.154372:0.332051:0.320253:0.332051:0.320253:0.317152:0.154372:0.317152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.131326:0.353681:0.139420:0.353681:0.139420:0.339579:0.131326:0.339579:0.000000
2516:@0.163932:0.353681:0.208064:0.353681:0.208064:0.339579:0.163932:0.339579:0.000000:0.000000:0.000000:0.000000
4:@0.166570:0.371331:0.174663:0.371331:0.174663:0.357229:0.166570:0.357229:0.000000
x:@0.104990:0.361797:0.111707:0.361797:0.111707:0.347943:0.104990:0.347943:0.000000
 =:@0.111707:0.361797:0.125223:0.361797:0.125223:0.347694:0.111707:0.347694:0.000000:0.000000
5:@0.226872:0.353669:0.234966:0.353669:0.234966:0.339566:0.226872:0.339566:0.000000
9:@0.259478:0.353669:0.267571:0.353669:0.267571:0.339566:0.259478:0.339566:0.000000
4:@0.244072:0.371319:0.252165:0.371319:0.252165:0.357216:0.244072:0.357216:0.000000
53:@0.286386:0.353681:0.315825:0.353681:0.315825:0.339579:0.286386:0.339579:0.000000:0.000000
4:@0.297034:0.371336:0.305128:0.371336:0.305128:0.357234:0.297034:0.357234:0.000000
±:@0.141219:0.353313:0.109708:0.353313:0.109708:0.338065:0.141219:0.338065:0.000000
−:@0.181836:0.353313:0.150324:0.353313:0.150324:0.338065:0.181836:0.338065:0.000000
=:@0.213828:0.361204:0.222934:0.361204:0.222934:0.345956:0.213828:0.345956:0.000000
±:@0.236781:0.353312:0.245886:0.353312:0.245886:0.338064:0.236781:0.338064:0.000000
=:@0.273335:0.361204:0.282440:0.361204:0.282440:0.345956:0.273335:0.345956:0.000000
±:@0.296287:0.353312:0.305392:0.353312:0.305392:0.338064:0.296287:0.338064:0.000000
=:@0.113609:0.396658:0.122714:0.396658:0.122714:0.381410:0.113609:0.381410:0.000000
+:@0.136546:0.388768:0.145651:0.388768:0.145651:0.373520:0.136546:0.373520:0.000000
=:@0.186118:0.396658:0.195223:0.396658:0.195223:0.381410:0.186118:0.381410:0.000000
−:@0.209071:0.388768:0.218176:0.388768:0.218176:0.373520:0.209071:0.373520:0.000000
53:@0.126644:0.389141:0.156082:0.389141:0.156082:0.375038:0.126644:0.375038:0.000000:0.000000
4:@0.137308:0.406791:0.145401:0.406791:0.145401:0.392688:0.137308:0.392688:0.000000
53:@0.199170:0.389141:0.228326:0.389141:0.228326:0.375038:0.199170:0.375038:0.000000:0.000000
1:@0.108332:0.398783:0.113050:0.398783:0.113050:0.390561:0.108332:0.390561:0.000000
2:@0.180897:0.398783:0.185616:0.398783:0.185616:0.390561:0.180897:0.390561:0.000000
4:@0.209667:0.406792:0.217761:0.406792:0.217761:0.392689:0.209667:0.392689:0.000000
 y :@0.159117:0.397033:0.174955:0.397033:0.174955:0.382930:0.159117:0.382930:0.000000:0.000000:0.000000
Las soluciones son   = 2 y :@0.102121:0.431173:0.281227:0.431173:0.281227:0.416273:0.102121:0.416273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.229473:0.431173:0.236258:0.431173:0.236258:0.416299:0.229473:0.416299:0.000000
1:@0.236255:0.434049:0.241021:0.434049:0.241021:0.425363:0.236255:0.425363:0.000000
x:@0.281724:0.430714:0.288441:0.430714:0.288441:0.416860:0.281724:0.416860:0.000000
2:@0.288442:0.433561:0.293160:0.433561:0.293160:0.425339:0.288442:0.425339:0.000000
=:@0.293607:0.430340:0.302712:0.430340:0.302712:0.415092:0.293607:0.415092:0.000000
1:@0.308634:0.422834:0.316727:0.422834:0.316727:0.408731:0.308634:0.408731:0.000000
2:@0.308252:0.440484:0.316346:0.440484:0.316346:0.426382:0.308252:0.426382:0.000000
Paso 4.:@0.403601:0.332051:0.455852:0.332051:0.455852:0.316473:0.403601:0.316473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Respondemos la pregunta.:@0.455852:0.332051:0.639003:0.332051:0.639003:0.317152:0.455852:0.317152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El arco toca la base del puente en los puntos: :@0.403601:0.354267:0.707116:0.354267:0.707116:0.339368:0.403601:0.339368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.403601:0.369355:0.410386:0.369355:0.410386:0.354481:0.403601:0.354481:0.000000
1:@0.410386:0.372230:0.415152:0.372230:0.415152:0.363543:0.410386:0.363543:0.000000
 = 0,5 y   = 2:@0.415152:0.369354:0.503494:0.369354:0.503494:0.354455:0.415152:0.354455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.466448:0.369354:0.473233:0.369354:0.473233:0.354480:0.466448:0.354480:0.000000
2:@0.473231:0.372230:0.477997:0.372230:0.477997:0.363543:0.473231:0.363543:0.000000
Paso 1.:@0.102121:0.742619:0.154372:0.742619:0.154372:0.727041:0.102121:0.727041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dividimos toda la ecuación para 2: :@0.157756:0.742619:0.389993:0.742619:0.389993:0.727720:0.157756:0.727720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.102121:0.766394:0.108906:0.766394:0.108906:0.751520:0.102121:0.751520:0.000000
2:@0.108906:0.760899:0.113672:0.760899:0.113672:0.752213:0.108906:0.752213:0.000000
 – 4  = :@0.113672:0.766397:0.161668:0.766397:0.161668:0.751498:0.113672:0.751498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.137561:0.766397:0.144346:0.766397:0.144346:0.751523:0.137561:0.751523:0.000000
−:@0.161668:0.765362:0.171785:0.765362:0.171785:0.748420:0.161668:0.748420:0.000000
3:@0.176134:0.757022:0.185127:0.757022:0.185127:0.741352:0.176134:0.741352:0.000000
2:@0.175710:0.776634:0.184703:0.776634:0.184703:0.760964:0.175710:0.760964:0.000000
Paso 2.:@0.413247:0.742619:0.465498:0.742619:0.465498:0.727041:0.413247:0.727041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tomamos el coeciente de  , :@0.468882:0.742619:0.665537:0.742619:0.665537:0.727720:0.468882:0.727720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.582261:0.742619:0.585929:0.742619:0.585929:0.727720:0.582261:0.727720:0.000000
x:@0.652168:0.742619:0.658953:0.742619:0.658953:0.727745:0.652168:0.727745:0.000000
dividimos para 2 y elevamos al cuadrado: :@0.413247:0.757706:0.690714:0.757706:0.690714:0.742807:0.413247:0.742807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 ÷ 2 = 2; 2  = 4:@0.413247:0.772794:0.517437:0.772794:0.517437:0.757895:0.413247:0.757895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.487174:0.767296:0.491940:0.767296:0.491940:0.758610:0.487174:0.758610:0.000000
Paso 3.:@0.102128:0.794822:0.154379:0.794822:0.154379:0.779244:0.102128:0.779244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sumamos el valor de 4 a los dos :@0.154379:0.794822:0.374539:0.794822:0.374539:0.779923:0.154379:0.779923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miembros de la ecuación: :@0.102128:0.809909:0.277308:0.809909:0.277308:0.795010:0.102128:0.795010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.102128:0.832968:0.108913:0.832968:0.108913:0.818094:0.102128:0.818094:0.000000
2:@0.108906:0.827472:0.113672:0.827472:0.113672:0.818786:0.108906:0.818786:0.000000
 – 4  + 4 = :@0.113672:0.832969:0.187165:0.832969:0.187165:0.818070:0.113672:0.818070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.137561:0.832969:0.144346:0.832969:0.144346:0.818096:0.137561:0.818096:0.000000
−:@0.187165:0.832651:0.197282:0.832651:0.197282:0.815709:0.187165:0.815709:0.000000
3:@0.201631:0.824312:0.210624:0.824312:0.210624:0.808642:0.201631:0.808642:0.000000
2:@0.201207:0.843923:0.210200:0.843923:0.210200:0.828253:0.201207:0.828253:0.000000
 + 4:@0.210994:0.832969:0.236491:0.832969:0.236491:0.818070:0.210994:0.818070:0.000000:0.000000:0.000000:0.000000
Paso 4.:@0.413246:0.794823:0.465496:0.794823:0.465496:0.779245:0.413246:0.779245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Factorizamos el trinomio cuadrado :@0.465496:0.794823:0.704902:0.794823:0.704902:0.779924:0.465496:0.779924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perfecto del primer miembro :@0.413246:0.809911:0.612043:0.809911:0.612043:0.795012:0.413246:0.795012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y reducimos términos: (  – 2):@0.413246:0.832768:0.604456:0.832768:0.604456:0.817869:0.413246:0.817869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.569343:0.832768:0.576127:0.832768:0.576127:0.817894:0.569343:0.817894:0.000000
2:@0.604456:0.827266:0.609222:0.827266:0.609222:0.818580:0.604456:0.818580:0.000000
=:@0.612889:0.832651:0.623006:0.832651:0.623006:0.815709:0.612889:0.815709:0.000000
5:@0.629584:0.824312:0.638577:0.824312:0.638577:0.808642:0.629584:0.808642:0.000000
2:@0.629161:0.843923:0.638153:0.843923:0.638153:0.828253:0.629161:0.828253:0.000000
Paso 5.:@0.102121:0.860242:0.154372:0.860242:0.154372:0.844664:0.102121:0.844664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sacamos la raíz cuadrada a los dos :@0.154372:0.860242:0.389961:0.860242:0.389961:0.845343:0.154372:0.845343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miembros de la ecuación::@0.102121:0.875329:0.273630:0.875329:0.273630:0.860430:0.102121:0.860430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.105655:0.905724:0.112372:0.905724:0.112372:0.890999:0.105655:0.890999:0.000000
−= ±:@0.116070:0.905351:0.159290:0.905351:0.159290:0.890103:0.116070:0.890103:0.000000:0.000000:0.000000:0.000000
2:@0.127232:0.905724:0.135325:0.905724:0.135325:0.890974:0.127232:0.890974:0.000000
5:@0.172276:0.897833:0.180370:0.897833:0.180370:0.883083:0.172276:0.883083:0.000000
2:@0.172135:0.915485:0.180228:0.915485:0.180228:0.900735:0.172135:0.900735:0.000000
Paso 6.:@0.413247:0.860242:0.465498:0.860242:0.465498:0.844664:0.413247:0.844664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Finalmente, obtenemos las :@0.465498:0.860242:0.652570:0.860242:0.652570:0.845343:0.465498:0.845343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
soluciones::@0.413247:0.875329:0.487008:0.875329:0.487008:0.860430:0.413247:0.860430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= +:@0.425229:0.904472:0.456189:0.904472:0.456189:0.889224:0.425229:0.889224:0.000000:0.000000:0.000000
= −:@0.508551:0.904472:0.539512:0.904472:0.539512:0.889224:0.508551:0.889224:0.000000:0.000000:0.000000
2:@0.436971:0.904846:0.445064:0.904846:0.445064:0.890743:0.436971:0.890743:0.000000
1:@0.420516:0.907192:0.425235:0.907192:0.425235:0.898970:0.420516:0.898970:0.000000
2:@0.503611:0.907192:0.508330:0.907192:0.508330:0.898970:0.503611:0.898970:0.000000
5:@0.471261:0.896969:0.479354:0.896969:0.479354:0.882866:0.471261:0.882866:0.000000
2:@0.471112:0.914607:0.479205:0.914607:0.479205:0.900504:0.471112:0.900504:0.000000
2:@0.520270:0.904848:0.528363:0.904848:0.528363:0.890745:0.520270:0.890745:0.000000
5:@0.554269:0.896969:0.562362:0.896969:0.562362:0.882866:0.554269:0.882866:0.000000
2:@0.554136:0.914606:0.562230:0.914606:0.562230:0.900504:0.554136:0.900504:0.000000
 y :@0.482041:0.904848:0.497564:0.904848:0.497564:0.890745:0.482041:0.890745:0.000000:0.000000:0.000000
Ejemplos paso a paso:@0.096359:0.116969:0.251252:0.116969:0.251252:0.101605:0.096359:0.101605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.144572:0.110585:0.144572:0.110585:0.127671:0.096359:0.127671:0.000000:0.000000
  Regresamos a nuestro problema inicial, y respondamos la pregunta. ¿En qué :@0.110585:0.144572:0.716598:0.144572:0.716598:0.128183:0.110585:0.128183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puntos el arco toca la base del puente?:@0.124848:0.161168:0.411429:0.161168:0.411429:0.144779:0.124848:0.144779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.184887:0.100395:0.184887:0.100395:0.168498:0.096359:0.168498:0.000000
Para resolver esta situación debemos hallar en qué valores de   la altura del arco :@0.124852:0.184887:0.716545:0.184887:0.716545:0.168498:0.124852:0.168498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.579628:0.184887:0.587091:0.184887:0.587091:0.168526:0.579628:0.168526:0.000000
es cero. Emplearemos el método de la fórmula general.:@0.124848:0.201484:0.527890:0.201484:0.527890:0.185095:0.124848:0.185095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En economía y finanzas, :@0.754293:0.138353:0.917141:0.138353:0.917141:0.123454:0.754293:0.123454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los números negativos :@0.754293:0.153441:0.908765:0.153441:0.908765:0.138542:0.754293:0.138542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresan pérdidas o :@0.754293:0.168529:0.892197:0.168529:0.892197:0.153630:0.754293:0.153630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saldos en contra. :@0.754293:0.183616:0.870085:0.183616:0.870085:0.168717:0.754293:0.168717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué el control de los :@0.754293:0.202262:0.911914:0.202262:0.911914:0.187388:0.754293:0.187388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gastos ayuda a tener una :@0.754293:0.217350:0.918029:0.217350:0.918029:0.202476:0.754293:0.202476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
economía sana?:@0.754293:0.232437:0.858962:0.232437:0.858962:0.217563:0.754293:0.217563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación :@0.801769:0.098996:0.883453:0.098996:0.883453:0.082095:0.801769:0.082095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nanciera:@0.801594:0.112826:0.876643:0.112826:0.876643:0.095926:0.801594:0.095926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.806487:0.112826:0.810111:0.112826:0.810111:0.095926:0.806487:0.095926:0.000000
Mira el video del enlace:@0.754711:0.320116:0.912284:0.320116:0.912284:0.305217:0.754711:0.305217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/11mtc06:@0.754711:0.338762:0.865125:0.338762:0.865125:0.323637:0.754711:0.323637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pon atención al ejercicio :@0.754711:0.357408:0.920508:0.357408:0.920508:0.342509:0.754711:0.342509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelto.:@0.754711:0.372496:0.811016:0.372496:0.811016:0.357597:0.754711:0.357597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué tipo de raíces se :@0.754711:0.391141:0.891761:0.391141:0.891761:0.376267:0.754711:0.376267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtuvo como resultado?:@0.754711:0.406229:0.908565:0.406229:0.908565:0.391355:0.754711:0.391355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806485:0.287675:0.856955:0.287675:0.856955:0.270775:0.806485:0.270775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.749488:0.538144:0.906694:0.538144:0.906694:0.521243:0.749488:0.521243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e Historia:@0.754293:0.567299:0.912065:0.567299:0.912065:0.551935:0.754293:0.551935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
François Viète fue un :@0.754293:0.585945:0.895765:0.585945:0.895765:0.571046:0.754293:0.571046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemático francés que :@0.754293:0.601033:0.920074:0.601033:0.920074:0.586134:0.754293:0.586134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consideró las ecuaciones :@0.754293:0.616120:0.924061:0.616120:0.924061:0.601221:0.754293:0.601221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadráticas de la manera :@0.754293:0.631208:0.923978:0.631208:0.923978:0.616309:0.754293:0.616309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
general :@0.754293:0.646295:0.808403:0.646295:0.808403:0.631396:0.754293:0.631396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax:@0.808403:0.646295:0.823614:0.646295:0.823614:0.631422:0.808403:0.631422:0.000000:0.000000
2:@0.823614:0.640803:0.828380:0.640803:0.828380:0.632117:0.823614:0.632117:0.000000
 +   +   = 0, :@0.828380:0.646300:0.917134:0.646300:0.917134:0.631401:0.828380:0.631401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.845702:0.646300:0.860762:0.646300:0.860762:0.631427:0.845702:0.631427:0.000000:0.000000
c:@0.878084:0.646300:0.885053:0.646300:0.885053:0.631427:0.878084:0.631427:0.000000
donde  ,   y   son :@0.754301:0.661388:0.878805:0.661388:0.878805:0.646489:0.754301:0.646489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.802213:0.661388:0.847327:0.661388:0.847327:0.646514:0.802213:0.646514:0.000000:0.000000:0.000000:0.000000:0.000000
cantidades conocidas. :@0.754301:0.676476:0.905523:0.676476:0.905523:0.661577:0.754301:0.661577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gracias a esto es posible :@0.754301:0.691563:0.919645:0.691563:0.919645:0.676664:0.754301:0.676664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribir la fórmula :@0.754301:0.706651:0.876441:0.706651:0.876441:0.691752:0.754301:0.691752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrática para resolver :@0.754301:0.721739:0.916211:0.721739:0.916211:0.706840:0.754301:0.706840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones de este tipo. :@0.754301:0.736826:0.918572:0.736826:0.918572:0.721927:0.754301:0.721927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
François Viète (1540-1603, :@0.749307:0.897924:0.925574:0.897924:0.925574:0.883025:0.749307:0.883025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Francia) :@0.749307:0.913012:0.804758:0.913012:0.804758:0.898113:0.749307:0.898113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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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