El profesor se sorprenderá mucho al ver tu solución correcta😉
/ 1 \ / / 1 \ \ 103*re|----------------------------------------| |103*im|----------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\ | ___________________| | | ___________________| | |3*\/ 6267 || | |3*\/ 6267 ||| | |3*\/ 6267 || | |3*\/ 6267 || |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------|| || 1 I*\/ 3 | / 1018 I*\/ 6267 | | || 1 I*\/ 3 | / 1018 I*\/ 6267 | _____ | \ 1018 /| _____ | \ 1018 /|| _____ | \ 1018 /| _____ | \ 1018 /| ||- - - -------|*3 / ---- + ---------- | | ||- - - -------|*3 / ---- + ---------- | \/ 103 *sin|----------------| \/ 309 *cos|----------------|| \/ 103 *cos|----------------| \/ 309 *sin|----------------| 10 \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / \ 3 / x1 = -- + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- - -----------------------------| - ----------------------------- + ----------------------------- 3 9 \ 9 6 6 / 6 6
/ 1 \ / / 1 \ \ 103*re|----------------------------------------| |103*im|----------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\ | ___________________| | | ___________________| | |3*\/ 6267 || | |3*\/ 6267 ||| | |3*\/ 6267 || | |3*\/ 6267 || |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------|| || 1 I*\/ 3 | / 1018 I*\/ 6267 | | || 1 I*\/ 3 | / 1018 I*\/ 6267 | _____ | \ 1018 /| _____ | \ 1018 /|| _____ | \ 1018 /| _____ | \ 1018 /| ||- - + -------|*3 / ---- + ---------- | | ||- - + -------|*3 / ---- + ---------- | \/ 103 *sin|----------------| \/ 309 *cos|----------------|| \/ 103 *cos|----------------| \/ 309 *sin|----------------| 10 \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / \ 3 / x2 = -- + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- + -----------------------------| - ----------------------------- - ----------------------------- 3 9 \ 9 6 6 / 6 6
___________________ / ______ 10 / 1018 I*\/ 6267 103 x3 = -- + 3 / ---- + ---------- + -------------------------- 3 \/ 27 9 ___________________ / ______ / 1018 I*\/ 6267 9*3 / ---- + ---------- \/ 27 9
x3 = 10/3 + 103/(9*(1018/27 + sqrt(6267)*i/9)^(1/3)) + (1018/27 + sqrt(6267)*i/9)^(1/3)
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \ 103*re|----------------------------------------| |103*im|----------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\ 103*re|----------------------------------------| |103*im|----------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\ | ___________________| | | ___________________| | |3*\/ 6267 || | |3*\/ 6267 ||| | |3*\/ 6267 || | |3*\/ 6267 || | ___________________| | | ___________________| | |3*\/ 6267 || | |3*\/ 6267 ||| | |3*\/ 6267 || | |3*\/ 6267 || |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------|| |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------|| || 1 I*\/ 3 | / 1018 I*\/ 6267 | | || 1 I*\/ 3 | / 1018 I*\/ 6267 | _____ | \ 1018 /| _____ | \ 1018 /|| _____ | \ 1018 /| _____ | \ 1018 /| || 1 I*\/ 3 | / 1018 I*\/ 6267 | | || 1 I*\/ 3 | / 1018 I*\/ 6267 | _____ | \ 1018 /| _____ | \ 1018 /|| _____ | \ 1018 /| _____ | \ 1018 /| ___________________ ||- - - -------|*3 / ---- + ---------- | | ||- - - -------|*3 / ---- + ---------- | \/ 103 *sin|----------------| \/ 309 *cos|----------------|| \/ 103 *cos|----------------| \/ 309 *sin|----------------| ||- - + -------|*3 / ---- + ---------- | | ||- - + -------|*3 / ---- + ---------- | \/ 103 *sin|----------------| \/ 309 *cos|----------------|| \/ 103 *cos|----------------| \/ 309 *sin|----------------| / ______ 10 \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / \ 3 / 10 \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / \ 3 / 10 / 1018 I*\/ 6267 103 -- + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- - -----------------------------| - ----------------------------- + ----------------------------- + -- + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- + -----------------------------| - ----------------------------- - ----------------------------- + -- + 3 / ---- + ---------- + -------------------------- 3 9 \ 9 6 6 / 6 6 3 9 \ 9 6 6 / 6 6 3 \/ 27 9 ___________________ / ______ / 1018 I*\/ 6267 9*3 / ---- + ---------- \/ 27 9
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \ 103*re|----------------------------------------| 103*re|----------------------------------------| |103*im|----------------------------------------| / / ______\\ / / ______\\| |103*im|----------------------------------------| / / ______\\ / / ______\\| / / ______\\ | ___________________| | ___________________| | | ___________________| | |3*\/ 6267 || | |3*\/ 6267 ||| | | ___________________| | |3*\/ 6267 || | |3*\/ 6267 ||| | |3*\/ 6267 || |/ ___\ / ______ | |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| ___________________ || 1 I*\/ 3 | / 1018 I*\/ 6267 | || 1 I*\/ 3 | / 1018 I*\/ 6267 | | || 1 I*\/ 3 | / 1018 I*\/ 6267 | _____ | \ 1018 /| _____ | \ 1018 /|| | || 1 I*\/ 3 | / 1018 I*\/ 6267 | _____ | \ 1018 /| _____ | \ 1018 /|| _____ | \ 1018 /| / ______ ||- - + -------|*3 / ---- + ---------- | ||- - - -------|*3 / ---- + ---------- | | ||- - + -------|*3 / ---- + ---------- | \/ 103 *sin|----------------| \/ 309 *cos|----------------|| | ||- - - -------|*3 / ---- + ---------- | \/ 103 *sin|----------------| \/ 309 *cos|----------------|| \/ 103 *cos|----------------| / 1018 I*\/ 6267 103 \\ 2 2 / \/ 27 9 / \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / 10 + 3 / ---- + ---------- + -------------------------- + ------------------------------------------------ + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- + -----------------------------| + I*|------------------------------------------------ - ----------------------------- - -----------------------------| - ----------------------------- \/ 27 9 ___________________ 9 9 \ 9 6 6 / \ 9 6 6 / 3 / ______ / 1018 I*\/ 6267 9*3 / ---- + ---------- \/ 27 9
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \ | 103*re|----------------------------------------| |103*im|----------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\| | 103*re|----------------------------------------| |103*im|----------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\| | | ___________________| | | ___________________| | |3*\/ 6267 || | |3*\/ 6267 ||| | |3*\/ 6267 || | |3*\/ 6267 ||| | | ___________________| | | ___________________| | |3*\/ 6267 || | |3*\/ 6267 ||| | |3*\/ 6267 || | |3*\/ 6267 ||| | |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------||| | |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------||| | || 1 I*\/ 3 | / 1018 I*\/ 6267 | | || 1 I*\/ 3 | / 1018 I*\/ 6267 | _____ | \ 1018 /| _____ | \ 1018 /|| _____ | \ 1018 /| _____ | \ 1018 /|| | || 1 I*\/ 3 | / 1018 I*\/ 6267 | | || 1 I*\/ 3 | / 1018 I*\/ 6267 | _____ | \ 1018 /| _____ | \ 1018 /|| _____ | \ 1018 /| _____ | \ 1018 /|| / ___________________ \ | ||- - - -------|*3 / ---- + ---------- | | ||- - - -------|*3 / ---- + ---------- | \/ 103 *sin|----------------| \/ 309 *cos|----------------|| \/ 103 *cos|----------------| \/ 309 *sin|----------------|| | ||- - + -------|*3 / ---- + ---------- | | ||- - + -------|*3 / ---- + ---------- | \/ 103 *sin|----------------| \/ 309 *cos|----------------|| \/ 103 *cos|----------------| \/ 309 *sin|----------------|| | / ______ | |10 \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / \ 3 /| |10 \\ 2 2 / \/ 27 9 / | \\ 2 2 / \/ 27 9 / \ 3 / \ 3 /| \ 3 / \ 3 /| |10 / 1018 I*\/ 6267 103 | |-- + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- - -----------------------------| - ----------------------------- + -----------------------------|*|-- + ------------------------------------------------ + I*|------------------------------------------------ - ----------------------------- + -----------------------------| - ----------------------------- - -----------------------------|*|-- + 3 / ---- + ---------- + --------------------------| \3 9 \ 9 6 6 / 6 6 / \3 9 \ 9 6 6 / 6 6 / |3 \/ 27 9 ___________________| | / ______ | | / 1018 I*\/ 6267 | | 9*3 / ---- + ---------- | \ \/ 27 9 /
=
/ / / ______\\ / / ______\\\ | | |3*\/ 6267 || | |3*\/ 6267 ||| / _____________________ / _____________________\\ | |2*atan|----------|| |atan|----------||| | 3 / ______ | 3 / ______ || | | \ 1018 /| _____ | \ 1018 /|| \103 + \/ 1018 + 3*I*\/ 6267 *\10 + \/ 1018 + 3*I*\/ 6267 //*|-3 + 206*cos|------------------| - 20*\/ 103 *cos|----------------|| \ \ 3 / \ 3 // -------------------------------------------------------------------------------------------------------------------------------------- _____________________ 3 / ______ 27*\/ 1018 + 3*I*\/ 6267
(103 + (1018 + 3*i*sqrt(6267))^(1/3)*(10 + (1018 + 3*i*sqrt(6267))^(1/3)))*(-3 + 206*cos(2*atan(3*sqrt(6267)/1018)/3) - 20*sqrt(103)*cos(atan(3*sqrt(6267)/1018)/3))/(27*(1018 + 3*i*sqrt(6267))^(1/3))
x1 = 0.407454391576532
x2 = -0.486979759027261
x3 = 10.0795253674507
x3 = 10.0795253674507