El profesor se sorprenderá mucho al ver tu solución correcta😉
2 4*x + x 1 2*x -------- - -- - --- = 0 2 10 5 (2 + x)
/ 1 \ / / 1 \ \ 289*re|-------------------------------------------| / / _______\\ | 289*im|-------------------------------------------| / / _______\\ / / _______\\| / / _______\\ | ______________________| | |24*\/ 17790 || | | ______________________| | |24*\/ 17790 || | |24*\/ 17790 ||| | |24*\/ 17790 || |/ ___\ / _______ | |atan|------------|| | |/ ___\ / _______ | |atan|------------|| |atan|------------||| |atan|------------|| || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| | || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| ___ | \ 3727 /|| ___ | \ 3727 /| ||- - - -------|*3 / ---- + ------------- | 17*cos|------------------| | ||- - - -------|*3 / ---- + ------------- | 17*sin|------------------| 17*\/ 3 *cos|------------------|| 17*\/ 3 *sin|------------------| 7 \\ 2 2 / \/ 64 8 / \ 3 / | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| \ 3 / x1 = - -- - --------------------------------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- + --------------------------------| - -------------------------------- 12 48 24 \ 48 24 24 / 24
/ 1 \ / / 1 \ \ 289*re|-------------------------------------------| / / _______\\ | 289*im|-------------------------------------------| / / _______\\ / / _______\\| / / _______\\ | ______________________| | |24*\/ 17790 || | | ______________________| | |24*\/ 17790 || | |24*\/ 17790 ||| | |24*\/ 17790 || |/ ___\ / _______ | |atan|------------|| | |/ ___\ / _______ | |atan|------------|| |atan|------------||| |atan|------------|| || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| | || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| ___ | \ 3727 /|| ___ | \ 3727 /| ||- - + -------|*3 / ---- + ------------- | 17*cos|------------------| | ||- - + -------|*3 / ---- + ------------- | 17*sin|------------------| 17*\/ 3 *cos|------------------|| 17*\/ 3 *sin|------------------| 7 \\ 2 2 / \/ 64 8 / \ 3 / | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| \ 3 / x2 = - -- - --------------------------------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- - --------------------------------| + -------------------------------- 12 48 24 \ 48 24 24 / 24
______________________ / _______ / 3727 3*I*\/ 17790 3 / ---- + ------------- 7 289 \/ 64 8 x3 = - -- - ------------------------------ - --------------------------- 12 ______________________ 3 / _______ / 3727 3*I*\/ 17790 48*3 / ---- + ------------- \/ 64 8
x3 = -7/12 - (3727/64 + 3*sqrt(17790)*i/8)^(1/3)/3 - 289/(48*(3727/64 + 3*sqrt(17790)*i/8)^(1/3))
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \ 289*re|-------------------------------------------| / / _______\\ | 289*im|-------------------------------------------| / / _______\\ / / _______\\| / / _______\\ 289*re|-------------------------------------------| / / _______\\ | 289*im|-------------------------------------------| / / _______\\ / / _______\\| / / _______\\ | ______________________| | |24*\/ 17790 || | | ______________________| | |24*\/ 17790 || | |24*\/ 17790 ||| | |24*\/ 17790 || | ______________________| | |24*\/ 17790 || | | ______________________| | |24*\/ 17790 || | |24*\/ 17790 ||| | |24*\/ 17790 || ______________________ |/ ___\ / _______ | |atan|------------|| | |/ ___\ / _______ | |atan|------------|| |atan|------------||| |atan|------------|| |/ ___\ / _______ | |atan|------------|| | |/ ___\ / _______ | |atan|------------|| |atan|------------||| |atan|------------|| / _______ || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| | || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| ___ | \ 3727 /|| ___ | \ 3727 /| || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| | || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| ___ | \ 3727 /|| ___ | \ 3727 /| / 3727 3*I*\/ 17790 ||- - - -------|*3 / ---- + ------------- | 17*cos|------------------| | ||- - - -------|*3 / ---- + ------------- | 17*sin|------------------| 17*\/ 3 *cos|------------------|| 17*\/ 3 *sin|------------------| ||- - + -------|*3 / ---- + ------------- | 17*cos|------------------| | ||- - + -------|*3 / ---- + ------------- | 17*sin|------------------| 17*\/ 3 *cos|------------------|| 17*\/ 3 *sin|------------------| 3 / ---- + ------------- 7 \\ 2 2 / \/ 64 8 / \ 3 / | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| \ 3 / 7 \\ 2 2 / \/ 64 8 / \ 3 / | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| \ 3 / 7 289 \/ 64 8 - -- - --------------------------------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- + --------------------------------| - -------------------------------- + - -- - --------------------------------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- - --------------------------------| + -------------------------------- + - -- - ------------------------------ - --------------------------- 12 48 24 \ 48 24 24 / 24 12 48 24 \ 48 24 24 / 24 12 ______________________ 3 / _______ / 3727 3*I*\/ 17790 48*3 / ---- + ------------- \/ 64 8
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \ 289*re|-------------------------------------------| 289*re|-------------------------------------------| / / _______\\ | 289*im|-------------------------------------------| / / _______\\ / / _______\\| | 289*im|-------------------------------------------| / / _______\\ / / _______\\| | ______________________| | ______________________| ______________________ | |24*\/ 17790 || | | ______________________| | |24*\/ 17790 || | |24*\/ 17790 ||| | | ______________________| | |24*\/ 17790 || | |24*\/ 17790 ||| |/ ___\ / _______ | |/ ___\ / _______ | / _______ |atan|------------|| | |/ ___\ / _______ | |atan|------------|| |atan|------------||| | |/ ___\ / _______ | |atan|------------|| |atan|------------||| || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | / 3727 3*I*\/ 17790 | \ 3727 /| | || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| ___ | \ 3727 /|| | || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| ___ | \ 3727 /|| ||- - + -------|*3 / ---- + ------------- | ||- - - -------|*3 / ---- + ------------- | 3 / ---- + ------------- 17*cos|------------------| | ||- - + -------|*3 / ---- + ------------- | 17*sin|------------------| 17*\/ 3 *cos|------------------|| | ||- - - -------|*3 / ---- + ------------- | 17*sin|------------------| 17*\/ 3 *cos|------------------|| 7 289 \\ 2 2 / \/ 64 8 / \\ 2 2 / \/ 64 8 / \/ 64 8 \ 3 / | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| - - - ------------------------------ - --------------------------------------------------- - --------------------------------------------------- - --------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- - --------------------------------| + I*|- --------------------------------------------------- + -------------------------- + --------------------------------| 4 ______________________ 48 48 3 12 \ 48 24 24 / \ 48 24 24 / / _______ / 3727 3*I*\/ 17790 48*3 / ---- + ------------- \/ 64 8
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \ | 289*re|-------------------------------------------| / / _______\\ | 289*im|-------------------------------------------| / / _______\\ / / _______\\| / / _______\\| | 289*re|-------------------------------------------| / / _______\\ | 289*im|-------------------------------------------| / / _______\\ / / _______\\| / / _______\\| | | ______________________| | |24*\/ 17790 || | | ______________________| | |24*\/ 17790 || | |24*\/ 17790 ||| | |24*\/ 17790 ||| | | ______________________| | |24*\/ 17790 || | | ______________________| | |24*\/ 17790 || | |24*\/ 17790 ||| | |24*\/ 17790 ||| / ______________________\ | |/ ___\ / _______ | |atan|------------|| | |/ ___\ / _______ | |atan|------------|| |atan|------------||| |atan|------------||| | |/ ___\ / _______ | |atan|------------|| | |/ ___\ / _______ | |atan|------------|| |atan|------------||| |atan|------------||| | / _______ | | || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| | || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| ___ | \ 3727 /|| ___ | \ 3727 /|| | || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| | || 1 I*\/ 3 | / 3727 3*I*\/ 17790 | | \ 3727 /| ___ | \ 3727 /|| ___ | \ 3727 /|| | / 3727 3*I*\/ 17790 | | ||- - - -------|*3 / ---- + ------------- | 17*cos|------------------| | ||- - - -------|*3 / ---- + ------------- | 17*sin|------------------| 17*\/ 3 *cos|------------------|| 17*\/ 3 *sin|------------------|| | ||- - + -------|*3 / ---- + ------------- | 17*cos|------------------| | ||- - + -------|*3 / ---- + ------------- | 17*sin|------------------| 17*\/ 3 *cos|------------------|| 17*\/ 3 *sin|------------------|| | 3 / ---- + ------------- | | 7 \\ 2 2 / \/ 64 8 / \ 3 / | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| \ 3 /| | 7 \\ 2 2 / \/ 64 8 / \ 3 / | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| \ 3 /| | 7 289 \/ 64 8 | |- -- - --------------------------------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- + --------------------------------| - --------------------------------|*|- -- - --------------------------------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- - --------------------------------| + --------------------------------|*|- -- - ------------------------------ - ---------------------------| \ 12 48 24 \ 48 24 24 / 24 / \ 12 48 24 \ 48 24 24 / 24 / | 12 ______________________ 3 | | / _______ | | / 3727 3*I*\/ 17790 | | 48*3 / ---- + ------------- | \ \/ 64 8 /
=
/ / / _______\\ / / _______\\\ | | |24*\/ 17790 || | |24*\/ 17790 ||| / _______________________ / _______________________\\ | |2*atan|------------|| |atan|------------||| | 3 / _______ | 3 / _______ || | | \ 3727 /| | \ 3727 /|| \289 + \/ 3727 + 24*I*\/ 17790 *\7 + \/ 3727 + 24*I*\/ 17790 //*|960 - 2312*cos|--------------------| + 952*cos|------------------|| \ \ 3 / \ 3 // ---------------------------------------------------------------------------------------------------------------------------------------- _______________________ 3 / _______ 6912*\/ 3727 + 24*I*\/ 17790
(289 + (3727 + 24*i*sqrt(17790))^(1/3)*(7 + (3727 + 24*i*sqrt(17790))^(1/3)))*(960 - 2312*cos(2*atan(24*sqrt(17790)/3727)/3) + 952*cos(atan(24*sqrt(17790)/3727)/3))/(6912*(3727 + 24*i*sqrt(17790))^(1/3))
x1 = 0.21886190758149
x2 = 1.3689061299955
x3 = -3.33776803757699
x3 = -3.33776803757699