El profesor se sorprenderá mucho al ver tu solución correcta😉
8 44 56 x + - - -- - 8 = 2*x - -----*(x - 8) x x x - 4
/ 1 \ / / 1 \ \ 674*re|-------------------------------------------| |674*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\ | ______________________| | | ______________________| | |3*\/ 1903461 || | |3*\/ 1903461 ||| | |3*\/ 1903461 || | |3*\/ 1903461 || |/ ___\ / _________ | | |/ ___\ / _________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------|| || 1 I*\/ 3 | / 4598 I*\/ 1903461 | | || 1 I*\/ 3 | / 4598 I*\/ 1903461 | _____ | \ 4598 /| ______ | \ 4598 /|| _____ | \ 4598 /| ______ | \ 4598 /| ||- - - -------|*3 / ---- + ------------- | | ||- - - -------|*3 / ---- + ------------- | \/ 337 *sin|-------------------| \/ 1011 *cos|-------------------|| \/ 337 *cos|-------------------| \/ 1011 *sin|-------------------| 52 \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / \ 3 / x1 = -- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- - ---------------------------------| - -------------------------------- + --------------------------------- 3 9 \ 9 3 3 / 3 3
/ 1 \ / / 1 \ \ 674*re|-------------------------------------------| |674*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\ | ______________________| | | ______________________| | |3*\/ 1903461 || | |3*\/ 1903461 ||| | |3*\/ 1903461 || | |3*\/ 1903461 || |/ ___\ / _________ | | |/ ___\ / _________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------|| || 1 I*\/ 3 | / 4598 I*\/ 1903461 | | || 1 I*\/ 3 | / 4598 I*\/ 1903461 | _____ | \ 4598 /| ______ | \ 4598 /|| _____ | \ 4598 /| ______ | \ 4598 /| ||- - + -------|*3 / ---- + ------------- | | ||- - + -------|*3 / ---- + ------------- | \/ 337 *sin|-------------------| \/ 1011 *cos|-------------------|| \/ 337 *cos|-------------------| \/ 1011 *sin|-------------------| 52 \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / \ 3 / x2 = -- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- + ---------------------------------| - -------------------------------- - --------------------------------- 3 9 \ 9 3 3 / 3 3
______________________ / _________ 52 / 4598 I*\/ 1903461 674 x3 = -- + 2*3 / ---- + ------------- + ----------------------------- 3 \/ 27 9 ______________________ / _________ / 4598 I*\/ 1903461 9*3 / ---- + ------------- \/ 27 9
x3 = 52/3 + 674/(9*(4598/27 + sqrt(1903461)*i/9)^(1/3)) + 2*(4598/27 + sqrt(1903461)*i/9)^(1/3)
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \ 674*re|-------------------------------------------| |674*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\ 674*re|-------------------------------------------| |674*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\ | ______________________| | | ______________________| | |3*\/ 1903461 || | |3*\/ 1903461 ||| | |3*\/ 1903461 || | |3*\/ 1903461 || | ______________________| | | ______________________| | |3*\/ 1903461 || | |3*\/ 1903461 ||| | |3*\/ 1903461 || | |3*\/ 1903461 || |/ ___\ / _________ | | |/ ___\ / _________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------|| |/ ___\ / _________ | | |/ ___\ / _________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------|| || 1 I*\/ 3 | / 4598 I*\/ 1903461 | | || 1 I*\/ 3 | / 4598 I*\/ 1903461 | _____ | \ 4598 /| ______ | \ 4598 /|| _____ | \ 4598 /| ______ | \ 4598 /| || 1 I*\/ 3 | / 4598 I*\/ 1903461 | | || 1 I*\/ 3 | / 4598 I*\/ 1903461 | _____ | \ 4598 /| ______ | \ 4598 /|| _____ | \ 4598 /| ______ | \ 4598 /| ______________________ ||- - - -------|*3 / ---- + ------------- | | ||- - - -------|*3 / ---- + ------------- | \/ 337 *sin|-------------------| \/ 1011 *cos|-------------------|| \/ 337 *cos|-------------------| \/ 1011 *sin|-------------------| ||- - + -------|*3 / ---- + ------------- | | ||- - + -------|*3 / ---- + ------------- | \/ 337 *sin|-------------------| \/ 1011 *cos|-------------------|| \/ 337 *cos|-------------------| \/ 1011 *sin|-------------------| / _________ 52 \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / \ 3 / 52 \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / \ 3 / 52 / 4598 I*\/ 1903461 674 -- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- - ---------------------------------| - -------------------------------- + --------------------------------- + -- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- + ---------------------------------| - -------------------------------- - --------------------------------- + -- + 2*3 / ---- + ------------- + ----------------------------- 3 9 \ 9 3 3 / 3 3 3 9 \ 9 3 3 / 3 3 3 \/ 27 9 ______________________ / _________ / 4598 I*\/ 1903461 9*3 / ---- + ------------- \/ 27 9
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \ 674*re|-------------------------------------------| 674*re|-------------------------------------------| |674*im|-------------------------------------------| / / _________\\ / / _________\\| |674*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\ | ______________________| | ______________________| | | ______________________| | |3*\/ 1903461 || | |3*\/ 1903461 ||| | | ______________________| | |3*\/ 1903461 || | |3*\/ 1903461 ||| | |3*\/ 1903461 || |/ ___\ / _________ | |/ ___\ / _________ | | |/ ___\ / _________ | |atan|-------------|| |atan|-------------||| | |/ ___\ / _________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| ______________________ || 1 I*\/ 3 | / 4598 I*\/ 1903461 | || 1 I*\/ 3 | / 4598 I*\/ 1903461 | | || 1 I*\/ 3 | / 4598 I*\/ 1903461 | _____ | \ 4598 /| ______ | \ 4598 /|| | || 1 I*\/ 3 | / 4598 I*\/ 1903461 | _____ | \ 4598 /| ______ | \ 4598 /|| _____ | \ 4598 /| / _________ ||- - + -------|*3 / ---- + ------------- | ||- - - -------|*3 / ---- + ------------- | | ||- - + -------|*3 / ---- + ------------- | \/ 337 *sin|-------------------| \/ 1011 *cos|-------------------|| | ||- - - -------|*3 / ---- + ------------- | \/ 337 *sin|-------------------| \/ 1011 *cos|-------------------|| 2*\/ 337 *cos|-------------------| / 4598 I*\/ 1903461 674 \\ 2 2 / \/ 27 9 / \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / 52 + 2*3 / ---- + ------------- + ----------------------------- + --------------------------------------------------- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- + ---------------------------------| + I*|--------------------------------------------------- - -------------------------------- - ---------------------------------| - ---------------------------------- \/ 27 9 ______________________ 9 9 \ 9 3 3 / \ 9 3 3 / 3 / _________ / 4598 I*\/ 1903461 9*3 / ---- + ------------- \/ 27 9
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \ | 674*re|-------------------------------------------| |674*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\| | 674*re|-------------------------------------------| |674*im|-------------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\| | | ______________________| | | ______________________| | |3*\/ 1903461 || | |3*\/ 1903461 ||| | |3*\/ 1903461 || | |3*\/ 1903461 ||| | | ______________________| | | ______________________| | |3*\/ 1903461 || | |3*\/ 1903461 ||| | |3*\/ 1903461 || | |3*\/ 1903461 ||| | |/ ___\ / _________ | | |/ ___\ / _________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||| | |/ ___\ / _________ | | |/ ___\ / _________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||| | || 1 I*\/ 3 | / 4598 I*\/ 1903461 | | || 1 I*\/ 3 | / 4598 I*\/ 1903461 | _____ | \ 4598 /| ______ | \ 4598 /|| _____ | \ 4598 /| ______ | \ 4598 /|| | || 1 I*\/ 3 | / 4598 I*\/ 1903461 | | || 1 I*\/ 3 | / 4598 I*\/ 1903461 | _____ | \ 4598 /| ______ | \ 4598 /|| _____ | \ 4598 /| ______ | \ 4598 /|| / ______________________ \ | ||- - - -------|*3 / ---- + ------------- | | ||- - - -------|*3 / ---- + ------------- | \/ 337 *sin|-------------------| \/ 1011 *cos|-------------------|| \/ 337 *cos|-------------------| \/ 1011 *sin|-------------------|| | ||- - + -------|*3 / ---- + ------------- | | ||- - + -------|*3 / ---- + ------------- | \/ 337 *sin|-------------------| \/ 1011 *cos|-------------------|| \/ 337 *cos|-------------------| \/ 1011 *sin|-------------------|| | / _________ | |52 \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / \ 3 /| |52 \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / \ 3 /| |52 / 4598 I*\/ 1903461 674 | |-- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- - ---------------------------------| - -------------------------------- + ---------------------------------|*|-- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- + ---------------------------------| - -------------------------------- - ---------------------------------|*|-- + 2*3 / ---- + ------------- + -----------------------------| \3 9 \ 9 3 3 / 3 3 / \3 9 \ 9 3 3 / 3 3 / |3 \/ 27 9 ______________________| | / _________ | | / 4598 I*\/ 1903461 | | 9*3 / ---- + ------------- | \ \/ 27 9 /
=
/ / / _________\\ / / _________\\\ | | |3*\/ 1903461 || | |3*\/ 1903461 ||| / ________________________ / ________________________\\ | |2*atan|-------------|| |atan|-------------||| | 3 / _________ | 3 / _________ || | | \ 4598 /| _____ | \ 4598 /|| 8*\337 + \/ 4598 + 3*I*\/ 1903461 *\26 + \/ 4598 + 3*I*\/ 1903461 //*|339 + 674*cos|---------------------| - 52*\/ 337 *cos|-------------------|| \ \ 3 / \ 3 // ----------------------------------------------------------------------------------------------------------------------------------------------------- ________________________ 3 / _________ 27*\/ 4598 + 3*I*\/ 1903461
8*(337 + (4598 + 3*i*sqrt(1903461))^(1/3)*(26 + (4598 + 3*i*sqrt(1903461))^(1/3)))*(339 + 674*cos(2*atan(3*sqrt(1903461)/4598)/3) - 52*sqrt(337)*cos(atan(3*sqrt(1903461)/4598)/3))/(27*(4598 + 3*i*sqrt(1903461))^(1/3))
x1 = 10.5856115634932 - 0.e-22*i
x2 = 0.331117031489712 + 0.e-22*i
x3 = 41.0832714050171 + 0.e-22*i
x3 = 41.0832714050171 + 0.e-22*i