El profesor se sorprenderá mucho al ver tu solución correcta😉
5 4 3 2 - 3*x + 3*x + 8*x + 2*x + 4*x + 4 = 0
x1 = -1
_____________________________________________________________________________________________________________________________________________ / __________________ / / ______ / 26 / 352 \/ 2059 70 10 I* / - -- + 2*3 / - --- + -------- - -------------------------- + --------------------------------------------------------------------------- _______________________________________________________________ / 9 \/ 729 81 __________________ _______________________________________________________________ / | __________________ | / / ______ / | __________________ | / | / ______ | / / 352 \/ 2059 / | / ______ | / |13 / 352 \/ 2059 70 | / 81*3 / - --- + -------- / |13 / 352 \/ 2059 70 | / |-- + 2*3 / - --- + -------- - --------------------------| / \/ 729 81 3* / |-- + 2*3 / - --- + -------- - --------------------------| / |9 \/ 729 81 __________________| / / |9 \/ 729 81 __________________| / | / ______ | / / | / ______ | / | / 352 \/ 2059 | / / | / 352 \/ 2059 | / | 81*3 / - --- + -------- | / / | 81*3 / - --- + -------- | 1 \/ | \/ 729 81 | \/ \/ | \/ 729 81 | x2 = - - ------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
_____________________________________________________________________________________________________________________________________________ / __________________ / / ______ / 26 / 352 \/ 2059 70 10 I* / - -- + 2*3 / - --- + -------- - -------------------------- + --------------------------------------------------------------------------- _______________________________________________________________ / 9 \/ 729 81 __________________ _______________________________________________________________ / | __________________ | / / ______ / | __________________ | / | / ______ | / / 352 \/ 2059 / | / ______ | / |13 / 352 \/ 2059 70 | / 81*3 / - --- + -------- / |13 / 352 \/ 2059 70 | / |-- + 2*3 / - --- + -------- - --------------------------| / \/ 729 81 3* / |-- + 2*3 / - --- + -------- - --------------------------| / |9 \/ 729 81 __________________| / / |9 \/ 729 81 __________________| / | / ______ | / / | / ______ | / | / 352 \/ 2059 | / / | / 352 \/ 2059 | / | 81*3 / - --- + -------- | / / | 81*3 / - --- + -------- | 1 \/ | \/ 729 81 | \/ \/ | \/ 729 81 | x3 = - - ------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
_________________________________________________________________________________________________________________________________________ / __________________ / / ______ / 26 / 352 \/ 2059 10 70 / -- - 2*3 / - --- + -------- + ------------------------------------------------------------------------- + -------------------------- _____________________________________________________________ / 9 \/ 729 81 _____________________________________________________________ __________________ / __________________ / / __________________ / ______ / / ______ / / / ______ / 352 \/ 2059 / 13 / 352 \/ 2059 70 / / 13 / 352 \/ 2059 70 81*3 / - --- + -------- / -- + 2*3 / - --- + -------- - -------------------------- / 3* / -- + 2*3 / - --- + -------- - -------------------------- \/ 729 81 / 9 \/ 729 81 __________________ / / 9 \/ 729 81 __________________ / / ______ / / / ______ / / 352 \/ 2059 / / / 352 \/ 2059 / 81*3 / - --- + -------- / / 81*3 / - --- + -------- 1 \/ \/ 729 81 \/ \/ \/ 729 81 x4 = - + ----------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
_________________________________________________________________________________________________________________________________________ / __________________ / / ______ / 26 / 352 \/ 2059 10 70 / -- - 2*3 / - --- + -------- + ------------------------------------------------------------------------- + -------------------------- _____________________________________________________________ / 9 \/ 729 81 _____________________________________________________________ __________________ / __________________ / / __________________ / ______ / / ______ / / / ______ / 352 \/ 2059 / 13 / 352 \/ 2059 70 / / 13 / 352 \/ 2059 70 81*3 / - --- + -------- / -- + 2*3 / - --- + -------- - -------------------------- / 3* / -- + 2*3 / - --- + -------- - -------------------------- \/ 729 81 / 9 \/ 729 81 __________________ / / 9 \/ 729 81 __________________ / / ______ / / / ______ / / 352 \/ 2059 / / / 352 \/ 2059 / 81*3 / - --- + -------- / / 81*3 / - --- + -------- 1 \/ \/ 729 81 \/ \/ \/ 729 81 x5 = - + ----------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
x5 = -sqrt(-2*(-352/729 + sqrt(2059)/81)^(1/3) + 70/(81*(-352/729 + sqrt(2059)/81)^(1/3)) + 26/9 + 10/(3*sqrt(-70/(81*(-352/729 + sqrt(2059)/81)^(1/3)) + 2*(-352/729 + sqrt(2059)/81)^(1/3) + 13/9)))/2 + sqrt(-70/(81*(-352/729 + sqrt(2059)/81)^(1/3)) + 2*(-352/729 + sqrt(2059)/81)^(1/3) + 13/9)/2 + 1/2
suma
_____________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________ / __________________ / __________________ / __________________ / __________________ / / ______ / / ______ / / ______ / / ______ / 26 / 352 \/ 2059 70 10 / 26 / 352 \/ 2059 70 10 / 26 / 352 \/ 2059 10 70 / 26 / 352 \/ 2059 10 70 I* / - -- + 2*3 / - --- + -------- - -------------------------- + --------------------------------------------------------------------------- I* / - -- + 2*3 / - --- + -------- - -------------------------- + --------------------------------------------------------------------------- / -- - 2*3 / - --- + -------- + ------------------------------------------------------------------------- + -------------------------- / -- - 2*3 / - --- + -------- + ------------------------------------------------------------------------- + -------------------------- _______________________________________________________________ / 9 \/ 729 81 __________________ _______________________________________________________________ _______________________________________________________________ / 9 \/ 729 81 __________________ _______________________________________________________________ _____________________________________________________________ / 9 \/ 729 81 _____________________________________________________________ __________________ _____________________________________________________________ / 9 \/ 729 81 _____________________________________________________________ __________________ / | __________________ | / / ______ / | __________________ | / | __________________ | / / ______ / | __________________ | / __________________ / / __________________ / ______ / __________________ / / __________________ / ______ / | / ______ | / / 352 \/ 2059 / | / ______ | / | / ______ | / / 352 \/ 2059 / | / ______ | / / ______ / / / ______ / 352 \/ 2059 / / ______ / / / ______ / 352 \/ 2059 / |13 / 352 \/ 2059 70 | / 81*3 / - --- + -------- / |13 / 352 \/ 2059 70 | / |13 / 352 \/ 2059 70 | / 81*3 / - --- + -------- / |13 / 352 \/ 2059 70 | / 13 / 352 \/ 2059 70 / / 13 / 352 \/ 2059 70 81*3 / - --- + -------- / 13 / 352 \/ 2059 70 / / 13 / 352 \/ 2059 70 81*3 / - --- + -------- / |-- + 2*3 / - --- + -------- - --------------------------| / \/ 729 81 3* / |-- + 2*3 / - --- + -------- - --------------------------| / |-- + 2*3 / - --- + -------- - --------------------------| / \/ 729 81 3* / |-- + 2*3 / - --- + -------- - --------------------------| / -- + 2*3 / - --- + -------- - -------------------------- / 3* / -- + 2*3 / - --- + -------- - -------------------------- \/ 729 81 / -- + 2*3 / - --- + -------- - -------------------------- / 3* / -- + 2*3 / - --- + -------- - -------------------------- \/ 729 81 / |9 \/ 729 81 __________________| / / |9 \/ 729 81 __________________| / |9 \/ 729 81 __________________| / / |9 \/ 729 81 __________________| / 9 \/ 729 81 __________________ / / 9 \/ 729 81 __________________ / 9 \/ 729 81 __________________ / / 9 \/ 729 81 __________________ / | / ______ | / / | / ______ | / | / ______ | / / | / ______ | / / ______ / / / ______ / / ______ / / / ______ / | / 352 \/ 2059 | / / | / 352 \/ 2059 | / | / 352 \/ 2059 | / / | / 352 \/ 2059 | / / 352 \/ 2059 / / / 352 \/ 2059 / / 352 \/ 2059 / / / 352 \/ 2059 / | 81*3 / - --- + -------- | / / | 81*3 / - --- + -------- | / | 81*3 / - --- + -------- | / / | 81*3 / - --- + -------- | / 81*3 / - --- + -------- / / 81*3 / - --- + -------- / 81*3 / - --- + -------- / / 81*3 / - --- + -------- 1 \/ | \/ 729 81 | \/ \/ | \/ 729 81 | 1 \/ | \/ 729 81 | \/ \/ | \/ 729 81 | 1 \/ \/ 729 81 \/ \/ \/ 729 81 1 \/ \/ 729 81 \/ \/ \/ 729 81 -1 + - - ------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------- + - - ------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ----------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ----------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2 2 2 2 2 2 2 2 2 2
=
_____________________________________________________________ _______________________________________________________________ / __________________ / | __________________ | / / ______ / | / ______ | / 13 / 352 \/ 2059 70 / |13 / 352 \/ 2059 70 | 1 + / -- + 2*3 / - --- + -------- - -------------------------- - / |-- + 2*3 / - --- + -------- - --------------------------| / 9 \/ 729 81 __________________ / |9 \/ 729 81 __________________| / / ______ / | / ______ | / / 352 \/ 2059 / | / 352 \/ 2059 | / 81*3 / - --- + -------- / | 81*3 / - --- + -------- | \/ \/ 729 81 \/ | \/ 729 81 |
producto
/ _____________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________\ / _________________________________________________________________________________________________________________________________________\ / _________________________________________________________________________________________________________________________________________\ | / __________________ | | / __________________ | | / __________________ | | / __________________ | | / / ______ | | / / ______ | | / / ______ | | / / ______ | | / 26 / 352 \/ 2059 70 10 | | / 26 / 352 \/ 2059 70 10 | | / 26 / 352 \/ 2059 10 70 | | / 26 / 352 \/ 2059 10 70 | | I* / - -- + 2*3 / - --- + -------- - -------------------------- + --------------------------------------------------------------------------- | | I* / - -- + 2*3 / - --- + -------- - -------------------------- + --------------------------------------------------------------------------- | | / -- - 2*3 / - --- + -------- + ------------------------------------------------------------------------- + -------------------------- | | / -- - 2*3 / - --- + -------- + ------------------------------------------------------------------------- + -------------------------- | | _______________________________________________________________ / 9 \/ 729 81 __________________ _______________________________________________________________ | | _______________________________________________________________ / 9 \/ 729 81 __________________ _______________________________________________________________ | | _____________________________________________________________ / 9 \/ 729 81 _____________________________________________________________ __________________ | | _____________________________________________________________ / 9 \/ 729 81 _____________________________________________________________ __________________ | | / | __________________ | / / ______ / | __________________ | | | / | __________________ | / / ______ / | __________________ | | | / __________________ / / __________________ / ______ | | / __________________ / / __________________ / ______ | | / | / ______ | / / 352 \/ 2059 / | / ______ | | | / | / ______ | / / 352 \/ 2059 / | / ______ | | | / / ______ / / / ______ / 352 \/ 2059 | | / / ______ / / / ______ / 352 \/ 2059 | | / |13 / 352 \/ 2059 70 | / 81*3 / - --- + -------- / |13 / 352 \/ 2059 70 | | | / |13 / 352 \/ 2059 70 | / 81*3 / - --- + -------- / |13 / 352 \/ 2059 70 | | | / 13 / 352 \/ 2059 70 / / 13 / 352 \/ 2059 70 81*3 / - --- + -------- | | / 13 / 352 \/ 2059 70 / / 13 / 352 \/ 2059 70 81*3 / - --- + -------- | | / |-- + 2*3 / - --- + -------- - --------------------------| / \/ 729 81 3* / |-- + 2*3 / - --- + -------- - --------------------------| | | / |-- + 2*3 / - --- + -------- - --------------------------| / \/ 729 81 3* / |-- + 2*3 / - --- + -------- - --------------------------| | | / -- + 2*3 / - --- + -------- - -------------------------- / 3* / -- + 2*3 / - --- + -------- - -------------------------- \/ 729 81 | | / -- + 2*3 / - --- + -------- - -------------------------- / 3* / -- + 2*3 / - --- + -------- - -------------------------- \/ 729 81 | | / |9 \/ 729 81 __________________| / / |9 \/ 729 81 __________________| | | / |9 \/ 729 81 __________________| / / |9 \/ 729 81 __________________| | | / 9 \/ 729 81 __________________ / / 9 \/ 729 81 __________________ | | / 9 \/ 729 81 __________________ / / 9 \/ 729 81 __________________ | | / | / ______ | / / | / ______ | | | / | / ______ | / / | / ______ | | | / / ______ / / / ______ | | / / ______ / / / ______ | | / | / 352 \/ 2059 | / / | / 352 \/ 2059 | | | / | / 352 \/ 2059 | / / | / 352 \/ 2059 | | | / / 352 \/ 2059 / / / 352 \/ 2059 | | / / 352 \/ 2059 / / / 352 \/ 2059 | | / | 81*3 / - --- + -------- | / / | 81*3 / - --- + -------- | | | / | 81*3 / - --- + -------- | / / | 81*3 / - --- + -------- | | | / 81*3 / - --- + -------- / / 81*3 / - --- + -------- | | / 81*3 / - --- + -------- / / 81*3 / - --- + -------- | |1 \/ | \/ 729 81 | \/ \/ | \/ 729 81 | | |1 \/ | \/ 729 81 | \/ \/ | \/ 729 81 | | |1 \/ \/ 729 81 \/ \/ \/ 729 81 | |1 \/ \/ 729 81 \/ \/ \/ 729 81 | -|- - ------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - ------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ----------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ----------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------| \2 2 2 / \2 2 2 / \2 2 2 / \2 2 2 /
=
4/3
4/3
x1 = -0.861245207505886
x2 = 2.37920697591199
x3 = 0.241019115796947 + 0.76981044313061*i
x4 = 0.241019115796947 - 0.76981044313061*i
x5 = -1.0
x5 = -1.0