El profesor se sorprenderá mucho al ver tu solución correcta😉
3 2 - x + 5*x - 12*x + 15 = 0
_______________ / _______________\ / _____ | / _____ | / 115 \/ 229 | ___ / 115 \/ 229 | 3 / --- + ------- | ___ \/ 3 *3 / --- + ------- | 5 \/ 54 6 11 | 11*\/ 3 \/ 54 6 | x1 = - - -------------------- + ----------------------- + I*|- ----------------------- - --------------------------| 3 2 _______________ | _______________ 2 | / _____ | / _____ | / 115 \/ 229 | / 115 \/ 229 | 18*3 / --- + ------- | 18*3 / --- + ------- | \/ 54 6 \ \/ 54 6 /
_______________ / _______________ \ / _____ | / _____ | / 115 \/ 229 | ___ / 115 \/ 229 | 3 / --- + ------- |\/ 3 *3 / --- + ------- ___ | 5 \/ 54 6 11 | \/ 54 6 11*\/ 3 | x2 = - - -------------------- + ----------------------- + I*|-------------------------- + -----------------------| 3 2 _______________ | 2 _______________| / _____ | / _____ | / 115 \/ 229 | / 115 \/ 229 | 18*3 / --- + ------- | 18*3 / --- + ------- | \/ 54 6 \ \/ 54 6 /
_______________ / _____ 5 / 115 \/ 229 11 x3 = - + 3 / --- + ------- - ---------------------- 3 \/ 54 6 _______________ / _____ / 115 \/ 229 9*3 / --- + ------- \/ 54 6
x3 = -11/(9*(115/54 + sqrt(229)/6)^(1/3)) + 5/3 + (115/54 + sqrt(229)/6)^(1/3)
suma
_______________ / _______________\ _______________ / _______________ \ / _____ | / _____ | / _____ | / _____ | / 115 \/ 229 | ___ / 115 \/ 229 | / 115 \/ 229 | ___ / 115 \/ 229 | _______________ 3 / --- + ------- | ___ \/ 3 *3 / --- + ------- | 3 / --- + ------- |\/ 3 *3 / --- + ------- ___ | / _____ 5 \/ 54 6 11 | 11*\/ 3 \/ 54 6 | 5 \/ 54 6 11 | \/ 54 6 11*\/ 3 | 5 / 115 \/ 229 11 - - -------------------- + ----------------------- + I*|- ----------------------- - --------------------------| + - - -------------------- + ----------------------- + I*|-------------------------- + -----------------------| + - + 3 / --- + ------- - ---------------------- 3 2 _______________ | _______________ 2 | 3 2 _______________ | 2 _______________| 3 \/ 54 6 _______________ / _____ | / _____ | / _____ | / _____ | / _____ / 115 \/ 229 | / 115 \/ 229 | / 115 \/ 229 | / 115 \/ 229 | / 115 \/ 229 18*3 / --- + ------- | 18*3 / --- + ------- | 18*3 / --- + ------- | 18*3 / --- + ------- | 9*3 / --- + ------- \/ 54 6 \ \/ 54 6 / \/ 54 6 \ \/ 54 6 / \/ 54 6
=
/ _______________ \ / _______________\ | / _____ | | / _____ | | ___ / 115 \/ 229 | | ___ / 115 \/ 229 | |\/ 3 *3 / --- + ------- ___ | | ___ \/ 3 *3 / --- + ------- | | \/ 54 6 11*\/ 3 | | 11*\/ 3 \/ 54 6 | 5 + I*|-------------------------- + -----------------------| + I*|- ----------------------- - --------------------------| | 2 _______________| | _______________ 2 | | / _____ | | / _____ | | / 115 \/ 229 | | / 115 \/ 229 | | 18*3 / --- + ------- | | 18*3 / --- + ------- | \ \/ 54 6 / \ \/ 54 6 /
producto
/ _______________ / _______________\\ / _______________ / _______________ \\ | / _____ | / _____ || | / _____ | / _____ || | / 115 \/ 229 | ___ / 115 \/ 229 || | / 115 \/ 229 | ___ / 115 \/ 229 || / _______________ \ | 3 / --- + ------- | ___ \/ 3 *3 / --- + ------- || | 3 / --- + ------- |\/ 3 *3 / --- + ------- ___ || | / _____ | |5 \/ 54 6 11 | 11*\/ 3 \/ 54 6 || |5 \/ 54 6 11 | \/ 54 6 11*\/ 3 || |5 / 115 \/ 229 11 | |- - -------------------- + ----------------------- + I*|- ----------------------- - --------------------------||*|- - -------------------- + ----------------------- + I*|-------------------------- + -----------------------||*|- + 3 / --- + ------- - ----------------------| |3 2 _______________ | _______________ 2 || |3 2 _______________ | 2 _______________|| |3 \/ 54 6 _______________| | / _____ | / _____ || | / _____ | / _____ || | / _____ | | / 115 \/ 229 | / 115 \/ 229 || | / 115 \/ 229 | / 115 \/ 229 || | / 115 \/ 229 | | 18*3 / --- + ------- | 18*3 / --- + ------- || | 18*3 / --- + ------- | 18*3 / --- + ------- || | 9*3 / --- + ------- | \ \/ 54 6 \ \/ 54 6 // \ \/ 54 6 \ \/ 54 6 // \ \/ 54 6 /
=
15
15
x1 = 1.1980924212362 + 2.07974809462801*i
x2 = 1.1980924212362 - 2.07974809462801*i
x3 = 2.60381515752759
x3 = 2.60381515752759