El profesor se sorprenderá mucho al ver tu solución correcta😉
_______________ / _______________\ 3 / ___ | ___ ___ 3 / ___ | \/ 81 + 54*\/ 2 3 | 3*\/ 3 \/ 3 *\/ 81 + 54*\/ 2 | x1 = -1 + ------------------ + -------------------- + I*|- -------------------- + ------------------------| 6 _______________ | _______________ 6 | 3 / ___ | 3 / ___ | 2*\/ 81 + 54*\/ 2 \ 2*\/ 81 + 54*\/ 2 /
_______________ / _______________ \ 3 / ___ | ___ 3 / ___ ___ | \/ 81 + 54*\/ 2 3 | \/ 3 *\/ 81 + 54*\/ 2 3*\/ 3 | x2 = -1 + ------------------ + -------------------- + I*|- ------------------------ + --------------------| 6 _______________ | 6 _______________| 3 / ___ | 3 / ___ | 2*\/ 81 + 54*\/ 2 \ 2*\/ 81 + 54*\/ 2 /
_______________ 3 / ___ 3 \/ 81 + 54*\/ 2 x3 = -1 - ------------------ - ------------------ _______________ 3 3 / ___ \/ 81 + 54*\/ 2
x3 = -(54*sqrt(2) + 81)^(1/3)/3 - 1 - 3/(54*sqrt(2) + 81)^(1/3)
suma
_______________ / _______________\ _______________ / _______________ \ _______________ 3 / ___ | ___ ___ 3 / ___ | 3 / ___ | ___ 3 / ___ ___ | 3 / ___ \/ 81 + 54*\/ 2 3 | 3*\/ 3 \/ 3 *\/ 81 + 54*\/ 2 | \/ 81 + 54*\/ 2 3 | \/ 3 *\/ 81 + 54*\/ 2 3*\/ 3 | 3 \/ 81 + 54*\/ 2 -1 + ------------------ + -------------------- + I*|- -------------------- + ------------------------| + -1 + ------------------ + -------------------- + I*|- ------------------------ + --------------------| + -1 - ------------------ - ------------------ 6 _______________ | _______________ 6 | 6 _______________ | 6 _______________| _______________ 3 3 / ___ | 3 / ___ | 3 / ___ | 3 / ___ | 3 / ___ 2*\/ 81 + 54*\/ 2 \ 2*\/ 81 + 54*\/ 2 / 2*\/ 81 + 54*\/ 2 \ 2*\/ 81 + 54*\/ 2 / \/ 81 + 54*\/ 2
=
/ _______________\ / _______________ \ | ___ ___ 3 / ___ | | ___ 3 / ___ ___ | | 3*\/ 3 \/ 3 *\/ 81 + 54*\/ 2 | | \/ 3 *\/ 81 + 54*\/ 2 3*\/ 3 | -3 + I*|- -------------------- + ------------------------| + I*|- ------------------------ + --------------------| | _______________ 6 | | 6 _______________| | 3 / ___ | | 3 / ___ | \ 2*\/ 81 + 54*\/ 2 / \ 2*\/ 81 + 54*\/ 2 /
producto
/ _______________ / _______________\\ / _______________ / _______________ \\ / _______________\ | 3 / ___ | ___ ___ 3 / ___ || | 3 / ___ | ___ 3 / ___ ___ || | 3 / ___ | | \/ 81 + 54*\/ 2 3 | 3*\/ 3 \/ 3 *\/ 81 + 54*\/ 2 || | \/ 81 + 54*\/ 2 3 | \/ 3 *\/ 81 + 54*\/ 2 3*\/ 3 || | 3 \/ 81 + 54*\/ 2 | |-1 + ------------------ + -------------------- + I*|- -------------------- + ------------------------||*|-1 + ------------------ + -------------------- + I*|- ------------------------ + --------------------||*|-1 - ------------------ - ------------------| | 6 _______________ | _______________ 6 || | 6 _______________ | 6 _______________|| | _______________ 3 | | 3 / ___ | 3 / ___ || | 3 / ___ | 3 / ___ || | 3 / ___ | \ 2*\/ 81 + 54*\/ 2 \ 2*\/ 81 + 54*\/ 2 // \ 2*\/ 81 + 54*\/ 2 \ 2*\/ 81 + 54*\/ 2 // \ \/ 81 + 54*\/ 2 /
=
-4
-4
x1 = 0.17765069880406 - 1.07730381284996*i
x2 = 0.17765069880406 + 1.07730381284996*i
x3 = -3.35530139760812
x3 = -3.35530139760812