El profesor se sorprenderá mucho al ver tu solución correcta😉
4 2 x - 6*x - 3*x - 12 = 0
______________________________________________________________________________________________________________________________________ / ___________________ / / _______ / 6 / 199 \/ 46513 6 I* / -8 - ------------------------ + 2*3 / - --- + --------- + ----------------------------------------------------------------------- _____________________________________________________________ / ___________________ \/ 16 16 _____________________________________________________________ / | ___________________| / / _______ / | ___________________| / | / _______ | / / 199 \/ 46513 / | / _______ | / | 6 / 199 \/ 46513 | / 3 / - --- + --------- / | 6 / 199 \/ 46513 | / |4 - ------------------------ + 2*3 / - --- + --------- | / \/ 16 16 / |4 - ------------------------ + 2*3 / - --- + --------- | / | ___________________ \/ 16 16 | / / | ___________________ \/ 16 16 | / | / _______ | / / | / _______ | / | / 199 \/ 46513 | / / | / 199 \/ 46513 | / | 3 / - --- + --------- | / / | 3 / - --- + --------- | \/ | \/ 16 16 | \/ \/ | \/ 16 16 | x1 = - ----------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2
______________________________________________________________________________________________________________________________________ / ___________________ / / _______ / 6 / 199 \/ 46513 6 I* / -8 - ------------------------ + 2*3 / - --- + --------- + ----------------------------------------------------------------------- _____________________________________________________________ / ___________________ \/ 16 16 _____________________________________________________________ / | ___________________| / / _______ / | ___________________| / | / _______ | / / 199 \/ 46513 / | / _______ | / | 6 / 199 \/ 46513 | / 3 / - --- + --------- / | 6 / 199 \/ 46513 | / |4 - ------------------------ + 2*3 / - --- + --------- | / \/ 16 16 / |4 - ------------------------ + 2*3 / - --- + --------- | / | ___________________ \/ 16 16 | / / | ___________________ \/ 16 16 | / | / _______ | / / | / _______ | / | / 199 \/ 46513 | / / | / 199 \/ 46513 | / | 3 / - --- + --------- | / / | 3 / - --- + --------- | \/ | \/ 16 16 | \/ \/ | \/ 16 16 | x2 = - ----------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2
___________________________________________________________________________________________________________________________________ / ___________________ / / _______ / / 199 \/ 46513 6 6 / 8 - 2*3 / - --- + --------- + ------------------------ + --------------------------------------------------------------------- ___________________________________________________________ / \/ 16 16 ___________________ ___________________________________________________________ / ___________________ / / _______ / ___________________ / / _______ / / 199 \/ 46513 / / _______ / 6 / 199 \/ 46513 / 3 / - --- + --------- / 6 / 199 \/ 46513 / 4 - ------------------------ + 2*3 / - --- + --------- / \/ 16 16 / 4 - ------------------------ + 2*3 / - --- + --------- / ___________________ \/ 16 16 / / ___________________ \/ 16 16 / / _______ / / / _______ / / 199 \/ 46513 / / / 199 \/ 46513 / 3 / - --- + --------- / / 3 / - --- + --------- \/ \/ 16 16 \/ \/ \/ 16 16 x3 = --------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------- 2 2
___________________________________________________________________________________________________________________________________ / ___________________ / / _______ / / 199 \/ 46513 6 6 / 8 - 2*3 / - --- + --------- + ------------------------ + --------------------------------------------------------------------- ___________________________________________________________ / \/ 16 16 ___________________ ___________________________________________________________ / ___________________ / / _______ / ___________________ / / _______ / / 199 \/ 46513 / / _______ / 6 / 199 \/ 46513 / 3 / - --- + --------- / 6 / 199 \/ 46513 / 4 - ------------------------ + 2*3 / - --- + --------- / \/ 16 16 / 4 - ------------------------ + 2*3 / - --- + --------- / ___________________ \/ 16 16 / / ___________________ \/ 16 16 / / _______ / / / _______ / / 199 \/ 46513 / / / 199 \/ 46513 / 3 / - --- + --------- / / 3 / - --- + --------- \/ \/ 16 16 \/ \/ \/ 16 16 x4 = --------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------- 2 2
x4 = -sqrt(-2*(-199/16 + sqrt(46513)/16)^(1/3) + 6/(-199/16 + sqrt(46513)/16)^(1/3) + 8 + 6/sqrt(-6/(-199/16 + sqrt(46513)/16)^(1/3) + 2*(-199/16 + sqrt(46513)/16)^(1/3) + 4))/2 + sqrt(-6/(-199/16 + sqrt(46513)/16)^(1/3) + 2*(-199/16 + sqrt(46513)/16)^(1/3) + 4)/2
suma
______________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________ / ___________________ / ___________________ / ___________________ / ___________________ / / _______ / / _______ / / _______ / / _______ / 6 / 199 \/ 46513 6 / 6 / 199 \/ 46513 6 / / 199 \/ 46513 6 6 / / 199 \/ 46513 6 6 I* / -8 - ------------------------ + 2*3 / - --- + --------- + ----------------------------------------------------------------------- I* / -8 - ------------------------ + 2*3 / - --- + --------- + ----------------------------------------------------------------------- / 8 - 2*3 / - --- + --------- + ------------------------ + --------------------------------------------------------------------- / 8 - 2*3 / - --- + --------- + ------------------------ + --------------------------------------------------------------------- _____________________________________________________________ / ___________________ \/ 16 16 _____________________________________________________________ _____________________________________________________________ / ___________________ \/ 16 16 _____________________________________________________________ ___________________________________________________________ / \/ 16 16 ___________________ ___________________________________________________________ ___________________________________________________________ / \/ 16 16 ___________________ ___________________________________________________________ / | ___________________| / / _______ / | ___________________| / | ___________________| / / _______ / | ___________________| / ___________________ / / _______ / ___________________ / ___________________ / / _______ / ___________________ / | / _______ | / / 199 \/ 46513 / | / _______ | / | / _______ | / / 199 \/ 46513 / | / _______ | / / _______ / / 199 \/ 46513 / / _______ / / _______ / / 199 \/ 46513 / / _______ / | 6 / 199 \/ 46513 | / 3 / - --- + --------- / | 6 / 199 \/ 46513 | / | 6 / 199 \/ 46513 | / 3 / - --- + --------- / | 6 / 199 \/ 46513 | / 6 / 199 \/ 46513 / 3 / - --- + --------- / 6 / 199 \/ 46513 / 6 / 199 \/ 46513 / 3 / - --- + --------- / 6 / 199 \/ 46513 / |4 - ------------------------ + 2*3 / - --- + --------- | / \/ 16 16 / |4 - ------------------------ + 2*3 / - --- + --------- | / |4 - ------------------------ + 2*3 / - --- + --------- | / \/ 16 16 / |4 - ------------------------ + 2*3 / - --- + --------- | / 4 - ------------------------ + 2*3 / - --- + --------- / \/ 16 16 / 4 - ------------------------ + 2*3 / - --- + --------- / 4 - ------------------------ + 2*3 / - --- + --------- / \/ 16 16 / 4 - ------------------------ + 2*3 / - --- + --------- / | ___________________ \/ 16 16 | / / | ___________________ \/ 16 16 | / | ___________________ \/ 16 16 | / / | ___________________ \/ 16 16 | / ___________________ \/ 16 16 / / ___________________ \/ 16 16 / ___________________ \/ 16 16 / / ___________________ \/ 16 16 / | / _______ | / / | / _______ | / | / _______ | / / | / _______ | / / _______ / / / _______ / / _______ / / / _______ / | / 199 \/ 46513 | / / | / 199 \/ 46513 | / | / 199 \/ 46513 | / / | / 199 \/ 46513 | / / 199 \/ 46513 / / / 199 \/ 46513 / / 199 \/ 46513 / / / 199 \/ 46513 / | 3 / - --- + --------- | / / | 3 / - --- + --------- | / | 3 / - --- + --------- | / / | 3 / - --- + --------- | / 3 / - --- + --------- / / 3 / - --- + --------- / 3 / - --- + --------- / / 3 / - --- + --------- \/ | \/ 16 16 | \/ \/ | \/ 16 16 | \/ | \/ 16 16 | \/ \/ | \/ 16 16 | \/ \/ 16 16 \/ \/ \/ 16 16 \/ \/ 16 16 \/ \/ \/ 16 16 - ----------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------- + - ----------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2 2 2 2 2 2
=
___________________________________________________________ _____________________________________________________________ / ___________________ / | ___________________| / / _______ / | / _______ | / 6 / 199 \/ 46513 / | 6 / 199 \/ 46513 | / 4 - ------------------------ + 2*3 / - --- + --------- - / |4 - ------------------------ + 2*3 / - --- + --------- | / ___________________ \/ 16 16 / | ___________________ \/ 16 16 | / / _______ / | / _______ | / / 199 \/ 46513 / | / 199 \/ 46513 | / 3 / - --- + --------- / | 3 / - --- + --------- | \/ \/ 16 16 \/ | \/ 16 16 |
producto
/ ______________________________________________________________________________________________________________________________________\ / ______________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________\ | / ___________________ | | / ___________________ | | / ___________________ | | / ___________________ | | / / _______ | | / / _______ | | / / _______ | | / / _______ | | / 6 / 199 \/ 46513 6 | | / 6 / 199 \/ 46513 6 | | / / 199 \/ 46513 6 6 | | / / 199 \/ 46513 6 6 | | I* / -8 - ------------------------ + 2*3 / - --- + --------- + ----------------------------------------------------------------------- | | I* / -8 - ------------------------ + 2*3 / - --- + --------- + ----------------------------------------------------------------------- | | / 8 - 2*3 / - --- + --------- + ------------------------ + --------------------------------------------------------------------- | | / 8 - 2*3 / - --- + --------- + ------------------------ + --------------------------------------------------------------------- | | _____________________________________________________________ / ___________________ \/ 16 16 _____________________________________________________________ | | _____________________________________________________________ / ___________________ \/ 16 16 _____________________________________________________________ | | ___________________________________________________________ / \/ 16 16 ___________________ ___________________________________________________________ | | ___________________________________________________________ / \/ 16 16 ___________________ ___________________________________________________________ | | / | ___________________| / / _______ / | ___________________| | | / | ___________________| / / _______ / | ___________________| | | / ___________________ / / _______ / ___________________ | | / ___________________ / / _______ / ___________________ | | / | / _______ | / / 199 \/ 46513 / | / _______ | | | / | / _______ | / / 199 \/ 46513 / | / _______ | | | / / _______ / / 199 \/ 46513 / / _______ | | / / _______ / / 199 \/ 46513 / / _______ | | / | 6 / 199 \/ 46513 | / 3 / - --- + --------- / | 6 / 199 \/ 46513 | | | / | 6 / 199 \/ 46513 | / 3 / - --- + --------- / | 6 / 199 \/ 46513 | | | / 6 / 199 \/ 46513 / 3 / - --- + --------- / 6 / 199 \/ 46513 | | / 6 / 199 \/ 46513 / 3 / - --- + --------- / 6 / 199 \/ 46513 | | / |4 - ------------------------ + 2*3 / - --- + --------- | / \/ 16 16 / |4 - ------------------------ + 2*3 / - --- + --------- | | | / |4 - ------------------------ + 2*3 / - --- + --------- | / \/ 16 16 / |4 - ------------------------ + 2*3 / - --- + --------- | | | / 4 - ------------------------ + 2*3 / - --- + --------- / \/ 16 16 / 4 - ------------------------ + 2*3 / - --- + --------- | | / 4 - ------------------------ + 2*3 / - --- + --------- / \/ 16 16 / 4 - ------------------------ + 2*3 / - --- + --------- | | / | ___________________ \/ 16 16 | / / | ___________________ \/ 16 16 | | | / | ___________________ \/ 16 16 | / / | ___________________ \/ 16 16 | | | / ___________________ \/ 16 16 / / ___________________ \/ 16 16 | | / ___________________ \/ 16 16 / / ___________________ \/ 16 16 | | / | / _______ | / / | / _______ | | | / | / _______ | / / | / _______ | | | / / _______ / / / _______ | | / / _______ / / / _______ | | / | / 199 \/ 46513 | / / | / 199 \/ 46513 | | | / | / 199 \/ 46513 | / / | / 199 \/ 46513 | | | / / 199 \/ 46513 / / / 199 \/ 46513 | | / / 199 \/ 46513 / / / 199 \/ 46513 | | / | 3 / - --- + --------- | / / | 3 / - --- + --------- | | | / | 3 / - --- + --------- | / / | 3 / - --- + --------- | | | / 3 / - --- + --------- / / 3 / - --- + --------- | | / 3 / - --- + --------- / / 3 / - --- + --------- | | \/ | \/ 16 16 | \/ \/ | \/ 16 16 | | | \/ | \/ 16 16 | \/ \/ | \/ 16 16 | | |\/ \/ 16 16 \/ \/ \/ 16 16 | |\/ \/ 16 16 \/ \/ \/ 16 16 | |- ----------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------|*|- ----------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------|*|--------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------|*|--------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
=
-12
-12
x1 = 2.90718919925062
x2 = -0.164938758128857 + 1.25472987917666*i
x3 = -2.57731168299291
x4 = -0.164938758128857 - 1.25472987917666*i
x4 = -0.164938758128857 - 1.25472987917666*i