El profesor se sorprenderá mucho al ver tu solución correcta😉
3 2 x + x + 2*x + 5 = 0
_________________ / _________________ \ / _____ | / _____ | / 119 9*\/ 181 | ___ / 119 9*\/ 181 | 3 / --- + --------- |\/ 3 *3 / --- + --------- ___ | 1 5 \/ 2 2 | \/ 2 2 5*\/ 3 | x1 = - - - ------------------------ + ---------------------- + I*|---------------------------- + ------------------------| 3 _________________ 6 | 6 _________________| / _____ | / _____ | / 119 9*\/ 181 | / 119 9*\/ 181 | 6*3 / --- + --------- | 6*3 / --- + --------- | \/ 2 2 \ \/ 2 2 /
_________________ / _________________\ / _____ | / _____ | / 119 9*\/ 181 | ___ / 119 9*\/ 181 | 3 / --- + --------- | ___ \/ 3 *3 / --- + --------- | 1 5 \/ 2 2 | 5*\/ 3 \/ 2 2 | x2 = - - - ------------------------ + ---------------------- + I*|- ------------------------ - ----------------------------| 3 _________________ 6 | _________________ 6 | / _____ | / _____ | / 119 9*\/ 181 | / 119 9*\/ 181 | 6*3 / --- + --------- | 6*3 / --- + --------- | \/ 2 2 \ \/ 2 2 /
_________________ / _____ / 119 9*\/ 181 3 / --- + --------- 1 \/ 2 2 5 x3 = - - - ---------------------- + ------------------------ 3 3 _________________ / _____ / 119 9*\/ 181 3*3 / --- + --------- \/ 2 2
x3 = -(119/2 + 9*sqrt(181)/2)^(1/3)/3 - 1/3 + 5/(3*(119/2 + 9*sqrt(181)/2)^(1/3))
suma
_________________ / _________________ \ _________________ / _________________\ _________________ / _____ | / _____ | / _____ | / _____ | / _____ / 119 9*\/ 181 | ___ / 119 9*\/ 181 | / 119 9*\/ 181 | ___ / 119 9*\/ 181 | / 119 9*\/ 181 3 / --- + --------- |\/ 3 *3 / --- + --------- ___ | 3 / --- + --------- | ___ \/ 3 *3 / --- + --------- | 3 / --- + --------- 1 5 \/ 2 2 | \/ 2 2 5*\/ 3 | 1 5 \/ 2 2 | 5*\/ 3 \/ 2 2 | 1 \/ 2 2 5 - - - ------------------------ + ---------------------- + I*|---------------------------- + ------------------------| + - - - ------------------------ + ---------------------- + I*|- ------------------------ - ----------------------------| + - - - ---------------------- + ------------------------ 3 _________________ 6 | 6 _________________| 3 _________________ 6 | _________________ 6 | 3 3 _________________ / _____ | / _____ | / _____ | / _____ | / _____ / 119 9*\/ 181 | / 119 9*\/ 181 | / 119 9*\/ 181 | / 119 9*\/ 181 | / 119 9*\/ 181 6*3 / --- + --------- | 6*3 / --- + --------- | 6*3 / --- + --------- | 6*3 / --- + --------- | 3*3 / --- + --------- \/ 2 2 \ \/ 2 2 / \/ 2 2 \ \/ 2 2 / \/ 2 2
=
/ _________________\ / _________________ \ | / _____ | | / _____ | | ___ / 119 9*\/ 181 | | ___ / 119 9*\/ 181 | | ___ \/ 3 *3 / --- + --------- | |\/ 3 *3 / --- + --------- ___ | | 5*\/ 3 \/ 2 2 | | \/ 2 2 5*\/ 3 | -1 + I*|- ------------------------ - ----------------------------| + I*|---------------------------- + ------------------------| | _________________ 6 | | 6 _________________| | / _____ | | / _____ | | / 119 9*\/ 181 | | / 119 9*\/ 181 | | 6*3 / --- + --------- | | 6*3 / --- + --------- | \ \/ 2 2 / \ \/ 2 2 /
producto
/ _________________ / _________________ \\ / _________________ / _________________\\ / _________________ \ | / _____ | / _____ || | / _____ | / _____ || | / _____ | | / 119 9*\/ 181 | ___ / 119 9*\/ 181 || | / 119 9*\/ 181 | ___ / 119 9*\/ 181 || | / 119 9*\/ 181 | | 3 / --- + --------- |\/ 3 *3 / --- + --------- ___ || | 3 / --- + --------- | ___ \/ 3 *3 / --- + --------- || | 3 / --- + --------- | | 1 5 \/ 2 2 | \/ 2 2 5*\/ 3 || | 1 5 \/ 2 2 | 5*\/ 3 \/ 2 2 || | 1 \/ 2 2 5 | |- - - ------------------------ + ---------------------- + I*|---------------------------- + ------------------------||*|- - - ------------------------ + ---------------------- + I*|- ------------------------ - ----------------------------||*|- - - ---------------------- + ------------------------| | 3 _________________ 6 | 6 _________________|| | 3 _________________ 6 | _________________ 6 || | 3 3 _________________| | / _____ | / _____ || | / _____ | / _____ || | / _____ | | / 119 9*\/ 181 | / 119 9*\/ 181 || | / 119 9*\/ 181 | / 119 9*\/ 181 || | / 119 9*\/ 181 | | 6*3 / --- + --------- | 6*3 / --- + --------- || | 6*3 / --- + --------- | 6*3 / --- + --------- || | 3*3 / --- + --------- | \ \/ 2 2 \ \/ 2 2 // \ \/ 2 2 \ \/ 2 2 // \ \/ 2 2 /
=
-5
-5
x1 = 0.319901002116328 + 1.71662807786013*i
x2 = 0.319901002116328 - 1.71662807786013*i
x3 = -1.63980200423266
x3 = -1.63980200423266