El profesor se sorprenderá mucho al ver tu solución correcta😉
3 2 x + 6*x - 15*x + 12 ---------------------------- = 0 _______ 3 4*\/ 1 - x *(1 - x)*(1 + x)
_________________ / _________________\ 3 / ___ | ___ ___ 3 / ___ | \/ 783 + 108*\/ 7 27 | 27*\/ 3 \/ 3 *\/ 783 + 108*\/ 7 | x1 = -2 + -------------------- + ---------------------- + I*|- ---------------------- + --------------------------| 6 _________________ | _________________ 6 | 3 / ___ | 3 / ___ | 2*\/ 783 + 108*\/ 7 \ 2*\/ 783 + 108*\/ 7 /
_________________ / _________________ \ 3 / ___ | ___ 3 / ___ ___ | \/ 783 + 108*\/ 7 27 | \/ 3 *\/ 783 + 108*\/ 7 27*\/ 3 | x2 = -2 + -------------------- + ---------------------- + I*|- -------------------------- + ----------------------| 6 _________________ | 6 _________________| 3 / ___ | 3 / ___ | 2*\/ 783 + 108*\/ 7 \ 2*\/ 783 + 108*\/ 7 /
_________________ 3 / ___ 27 \/ 783 + 108*\/ 7 x3 = -2 - -------------------- - -------------------- _________________ 3 3 / ___ \/ 783 + 108*\/ 7
x3 = -(108*sqrt(7) + 783)^(1/3)/3 - 27/(108*sqrt(7) + 783)^(1/3) - 2
suma
_________________ / _________________\ _________________ / _________________ \ _________________ 3 / ___ | ___ ___ 3 / ___ | 3 / ___ | ___ 3 / ___ ___ | 3 / ___ \/ 783 + 108*\/ 7 27 | 27*\/ 3 \/ 3 *\/ 783 + 108*\/ 7 | \/ 783 + 108*\/ 7 27 | \/ 3 *\/ 783 + 108*\/ 7 27*\/ 3 | 27 \/ 783 + 108*\/ 7 -2 + -------------------- + ---------------------- + I*|- ---------------------- + --------------------------| + -2 + -------------------- + ---------------------- + I*|- -------------------------- + ----------------------| + -2 - -------------------- - -------------------- 6 _________________ | _________________ 6 | 6 _________________ | 6 _________________| _________________ 3 3 / ___ | 3 / ___ | 3 / ___ | 3 / ___ | 3 / ___ 2*\/ 783 + 108*\/ 7 \ 2*\/ 783 + 108*\/ 7 / 2*\/ 783 + 108*\/ 7 \ 2*\/ 783 + 108*\/ 7 / \/ 783 + 108*\/ 7
=
/ _________________\ / _________________ \ | ___ ___ 3 / ___ | | ___ 3 / ___ ___ | | 27*\/ 3 \/ 3 *\/ 783 + 108*\/ 7 | | \/ 3 *\/ 783 + 108*\/ 7 27*\/ 3 | -6 + I*|- ---------------------- + --------------------------| + I*|- -------------------------- + ----------------------| | _________________ 6 | | 6 _________________| | 3 / ___ | | 3 / ___ | \ 2*\/ 783 + 108*\/ 7 / \ 2*\/ 783 + 108*\/ 7 /
producto
/ _________________ / _________________\\ / _________________ / _________________ \\ / _________________\ | 3 / ___ | ___ ___ 3 / ___ || | 3 / ___ | ___ 3 / ___ ___ || | 3 / ___ | | \/ 783 + 108*\/ 7 27 | 27*\/ 3 \/ 3 *\/ 783 + 108*\/ 7 || | \/ 783 + 108*\/ 7 27 | \/ 3 *\/ 783 + 108*\/ 7 27*\/ 3 || | 27 \/ 783 + 108*\/ 7 | |-2 + -------------------- + ---------------------- + I*|- ---------------------- + --------------------------||*|-2 + -------------------- + ---------------------- + I*|- -------------------------- + ----------------------||*|-2 - -------------------- - --------------------| | 6 _________________ | _________________ 6 || | 6 _________________ | 6 _________________|| | _________________ 3 | | 3 / ___ | 3 / ___ || | 3 / ___ | 3 / ___ || | 3 / ___ | \ 2*\/ 783 + 108*\/ 7 \ 2*\/ 783 + 108*\/ 7 // \ 2*\/ 783 + 108*\/ 7 \ 2*\/ 783 + 108*\/ 7 // \ \/ 783 + 108*\/ 7 /
=
-12
-12
x1 = 1.02442548101492 + 0.664415886803518*i
x2 = 1.02442548101492 - 0.664415886803518*i
x3 = -8.04885096202983
x3 = -8.04885096202983