El profesor se sorprenderá mucho al ver tu solución correcta😉
3 2 x - 4*x + 9*x + 36 = 0
__________________ / __________________ \ 3 / ______ | ___ 3 / ______ ___ | 4 11 \/ 584 + 9*\/ 4227 |\/ 3 *\/ 584 + 9*\/ 4227 11*\/ 3 | x1 = - - ----------------------- + --------------------- + I*|--------------------------- + -----------------------| 3 __________________ 6 | 6 __________________| 3 / ______ | 3 / ______ | 6*\/ 584 + 9*\/ 4227 \ 6*\/ 584 + 9*\/ 4227 /
__________________ / __________________\ 3 / ______ | ___ ___ 3 / ______ | 4 11 \/ 584 + 9*\/ 4227 | 11*\/ 3 \/ 3 *\/ 584 + 9*\/ 4227 | x2 = - - ----------------------- + --------------------- + I*|- ----------------------- - ---------------------------| 3 __________________ 6 | __________________ 6 | 3 / ______ | 3 / ______ | 6*\/ 584 + 9*\/ 4227 \ 6*\/ 584 + 9*\/ 4227 /
__________________ 3 / ______ 4 \/ 584 + 9*\/ 4227 11 x3 = - - --------------------- + ----------------------- 3 3 __________________ 3 / ______ 3*\/ 584 + 9*\/ 4227
x3 = -(584 + 9*sqrt(4227))^(1/3)/3 + 11/(3*(584 + 9*sqrt(4227))^(1/3)) + 4/3
suma
__________________ / __________________ \ __________________ / __________________\ __________________ 3 / ______ | ___ 3 / ______ ___ | 3 / ______ | ___ ___ 3 / ______ | 3 / ______ 4 11 \/ 584 + 9*\/ 4227 |\/ 3 *\/ 584 + 9*\/ 4227 11*\/ 3 | 4 11 \/ 584 + 9*\/ 4227 | 11*\/ 3 \/ 3 *\/ 584 + 9*\/ 4227 | 4 \/ 584 + 9*\/ 4227 11 - - ----------------------- + --------------------- + I*|--------------------------- + -----------------------| + - - ----------------------- + --------------------- + I*|- ----------------------- - ---------------------------| + - - --------------------- + ----------------------- 3 __________________ 6 | 6 __________________| 3 __________________ 6 | __________________ 6 | 3 3 __________________ 3 / ______ | 3 / ______ | 3 / ______ | 3 / ______ | 3 / ______ 6*\/ 584 + 9*\/ 4227 \ 6*\/ 584 + 9*\/ 4227 / 6*\/ 584 + 9*\/ 4227 \ 6*\/ 584 + 9*\/ 4227 / 3*\/ 584 + 9*\/ 4227
=
/ __________________\ / __________________ \ | ___ ___ 3 / ______ | | ___ 3 / ______ ___ | | 11*\/ 3 \/ 3 *\/ 584 + 9*\/ 4227 | |\/ 3 *\/ 584 + 9*\/ 4227 11*\/ 3 | 4 + I*|- ----------------------- - ---------------------------| + I*|--------------------------- + -----------------------| | __________________ 6 | | 6 __________________| | 3 / ______ | | 3 / ______ | \ 6*\/ 584 + 9*\/ 4227 / \ 6*\/ 584 + 9*\/ 4227 /
producto
/ __________________ / __________________ \\ / __________________ / __________________\\ / __________________ \ | 3 / ______ | ___ 3 / ______ ___ || | 3 / ______ | ___ ___ 3 / ______ || | 3 / ______ | |4 11 \/ 584 + 9*\/ 4227 |\/ 3 *\/ 584 + 9*\/ 4227 11*\/ 3 || |4 11 \/ 584 + 9*\/ 4227 | 11*\/ 3 \/ 3 *\/ 584 + 9*\/ 4227 || |4 \/ 584 + 9*\/ 4227 11 | |- - ----------------------- + --------------------- + I*|--------------------------- + -----------------------||*|- - ----------------------- + --------------------- + I*|- ----------------------- - ---------------------------||*|- - --------------------- + -----------------------| |3 __________________ 6 | 6 __________________|| |3 __________________ 6 | __________________ 6 || |3 3 __________________| | 3 / ______ | 3 / ______ || | 3 / ______ | 3 / ______ || | 3 / ______ | \ 6*\/ 584 + 9*\/ 4227 \ 6*\/ 584 + 9*\/ 4227 // \ 6*\/ 584 + 9*\/ 4227 \ 6*\/ 584 + 9*\/ 4227 // \ 3*\/ 584 + 9*\/ 4227 /
=
-36
-36
x1 = -1.83017552053575
x2 = 2.91508776026788 + 3.34253015963173*i
x3 = 2.91508776026788 - 3.34253015963173*i
x3 = 2.91508776026788 - 3.34253015963173*i