El profesor se sorprenderá mucho al ver tu solución correcta😉
3 2 - x + 12*x - 6*x + 8 = 0
_______________ / _______________\ 3 / ___ | ___ ___ 3 / ___ | 7 \/ 56 + 14*\/ 2 | 7*\/ 3 \/ 3 *\/ 56 + 14*\/ 2 | x1 = 4 - ------------------ - ------------------ + I*|------------------ - ------------------------| _______________ 2 | _______________ 2 | 3 / ___ |3 / ___ | \/ 56 + 14*\/ 2 \\/ 56 + 14*\/ 2 /
_______________ / _______________ \ 3 / ___ | ___ 3 / ___ ___ | 7 \/ 56 + 14*\/ 2 |\/ 3 *\/ 56 + 14*\/ 2 7*\/ 3 | x2 = 4 - ------------------ - ------------------ + I*|------------------------ - ------------------| _______________ 2 | 2 _______________| 3 / ___ | 3 / ___ | \/ 56 + 14*\/ 2 \ \/ 56 + 14*\/ 2 /
_______________ 3 / ___ 14 x3 = 4 + \/ 56 + 14*\/ 2 + ------------------ _______________ 3 / ___ \/ 56 + 14*\/ 2
x3 = 14/(14*sqrt(2) + 56)^(1/3) + 4 + (14*sqrt(2) + 56)^(1/3)
suma
_______________ / _______________\ _______________ / _______________ \ 3 / ___ | ___ ___ 3 / ___ | 3 / ___ | ___ 3 / ___ ___ | _______________ 7 \/ 56 + 14*\/ 2 | 7*\/ 3 \/ 3 *\/ 56 + 14*\/ 2 | 7 \/ 56 + 14*\/ 2 |\/ 3 *\/ 56 + 14*\/ 2 7*\/ 3 | 3 / ___ 14 4 - ------------------ - ------------------ + I*|------------------ - ------------------------| + 4 - ------------------ - ------------------ + I*|------------------------ - ------------------| + 4 + \/ 56 + 14*\/ 2 + ------------------ _______________ 2 | _______________ 2 | _______________ 2 | 2 _______________| _______________ 3 / ___ |3 / ___ | 3 / ___ | 3 / ___ | 3 / ___ \/ 56 + 14*\/ 2 \\/ 56 + 14*\/ 2 / \/ 56 + 14*\/ 2 \ \/ 56 + 14*\/ 2 / \/ 56 + 14*\/ 2
=
/ _______________ \ / _______________\ | ___ 3 / ___ ___ | | ___ ___ 3 / ___ | |\/ 3 *\/ 56 + 14*\/ 2 7*\/ 3 | | 7*\/ 3 \/ 3 *\/ 56 + 14*\/ 2 | 12 + I*|------------------------ - ------------------| + I*|------------------ - ------------------------| | 2 _______________| | _______________ 2 | | 3 / ___ | |3 / ___ | \ \/ 56 + 14*\/ 2 / \\/ 56 + 14*\/ 2 /
producto
/ _______________ / _______________\\ / _______________ / _______________ \\ | 3 / ___ | ___ ___ 3 / ___ || | 3 / ___ | ___ 3 / ___ ___ || / _______________ \ | 7 \/ 56 + 14*\/ 2 | 7*\/ 3 \/ 3 *\/ 56 + 14*\/ 2 || | 7 \/ 56 + 14*\/ 2 |\/ 3 *\/ 56 + 14*\/ 2 7*\/ 3 || | 3 / ___ 14 | |4 - ------------------ - ------------------ + I*|------------------ - ------------------------||*|4 - ------------------ - ------------------ + I*|------------------------ - ------------------||*|4 + \/ 56 + 14*\/ 2 + ------------------| | _______________ 2 | _______________ 2 || | _______________ 2 | 2 _______________|| | _______________| | 3 / ___ |3 / ___ || | 3 / ___ | 3 / ___ || | 3 / ___ | \ \/ 56 + 14*\/ 2 \\/ 56 + 14*\/ 2 // \ \/ 56 + 14*\/ 2 \ \/ 56 + 14*\/ 2 // \ \/ 56 + 14*\/ 2 /
=
8
8
x1 = 0.229926352383435 - 0.800228670667707*i
x2 = 0.229926352383435 + 0.800228670667707*i
x3 = 11.5401472952331
x3 = 11.5401472952331