El profesor se sorprenderá mucho al ver tu solución correcta😉
3 1 - x --------------- = 1 2 4*x - 3*x - 10
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \ / / ______\\ 25*re|--------------------------------------| | / / ______\\ 25*im|--------------------------------------| / / ______\\| / / ______\\ / / ______\\ 25*re|--------------------------------------| | / / ______\\ 25*im|--------------------------------------| / / ______\\| / / ______\\ | |3*\/ 6531 || | _________________| | | |3*\/ 6531 || | _________________| | |3*\/ 6531 ||| | |3*\/ 6531 || | |3*\/ 6531 || | _________________| | | |3*\/ 6531 || | _________________| | |3*\/ 6531 ||| | |3*\/ 6531 || |atan|----------|| |/ ___\ / ______ | | |atan|----------|| |/ ___\ / ______ | |atan|----------||| |atan|----------|| |atan|----------|| |/ ___\ / ______ | | |atan|----------|| |/ ___\ / ______ | |atan|----------||| |atan|----------|| | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | | | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | ___ | \ 61 /|| ___ | \ 61 /| | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | | | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | ___ | \ 61 /|| ___ | \ 61 /| _________________ 5*cos|----------------| ||- - - -------|*3 / -- + ---------- | | 5*sin|----------------| ||- - - -------|*3 / -- + ---------- | 5*\/ 3 *cos|----------------|| 5*\/ 3 *sin|----------------| 5*cos|----------------| ||- - + -------|*3 / -- + ---------- | | 5*sin|----------------| ||- - + -------|*3 / -- + ---------- | 5*\/ 3 *cos|----------------|| 5*\/ 3 *sin|----------------| / ______ 4 \ 3 / \\ 2 2 / \/ 54 18 / | \ 3 / \\ 2 2 / \/ 54 18 / \ 3 /| \ 3 / 4 \ 3 / \\ 2 2 / \/ 54 18 / | \ 3 / \\ 2 2 / \/ 54 18 / \ 3 /| \ 3 / 4 / 61 I*\/ 6531 25 - - - ----------------------- + --------------------------------------------- + I*|- ----------------------- + --------------------------------------------- - -----------------------------| + ----------------------------- + - - - ----------------------- + --------------------------------------------- + I*|- ----------------------- + --------------------------------------------- + -----------------------------| - ----------------------------- + - - + 3 / -- + ---------- + ------------------------ 3 6 9 \ 6 9 6 / 6 3 6 9 \ 6 9 6 / 6 3 \/ 54 18 _________________ / ______ / 61 I*\/ 6531 9*3 / -- + ---------- \/ 54 18
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \ / / ______\\ 25*re|--------------------------------------| 25*re|--------------------------------------| | / / ______\\ 25*im|--------------------------------------| / / ______\\| | / / ______\\ 25*im|--------------------------------------| / / ______\\| | |3*\/ 6531 || | _________________| | _________________| | | |3*\/ 6531 || | _________________| | |3*\/ 6531 ||| | | |3*\/ 6531 || | _________________| | |3*\/ 6531 ||| |atan|----------|| |/ ___\ / ______ | |/ ___\ / ______ | | |atan|----------|| |/ ___\ / ______ | |atan|----------||| | |atan|----------|| |/ ___\ / ______ | |atan|----------||| _________________ | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | || 1 I*\/ 3 | / 61 I*\/ 6531 | | | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | ___ | \ 61 /|| | | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | ___ | \ 61 /|| / ______ 5*cos|----------------| ||- - + -------|*3 / -- + ---------- | ||- - - -------|*3 / -- + ---------- | | 5*sin|----------------| ||- - + -------|*3 / -- + ---------- | 5*\/ 3 *cos|----------------|| | 5*sin|----------------| ||- - - -------|*3 / -- + ---------- | 5*\/ 3 *cos|----------------|| / 61 I*\/ 6531 \ 3 / 25 \\ 2 2 / \/ 54 18 / \\ 2 2 / \/ 54 18 / | \ 3 / \\ 2 2 / \/ 54 18 / \ 3 /| | \ 3 / \\ 2 2 / \/ 54 18 / \ 3 /| -4 + 3 / -- + ---------- - ----------------------- + ------------------------ + --------------------------------------------- + --------------------------------------------- + I*|- ----------------------- + --------------------------------------------- + -----------------------------| + I*|- ----------------------- + --------------------------------------------- - -----------------------------| \/ 54 18 3 _________________ 9 9 \ 6 9 6 / \ 6 9 6 / / ______ / 61 I*\/ 6531 9*3 / -- + ---------- \/ 54 18
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \ | / / ______\\ 25*re|--------------------------------------| | / / ______\\ 25*im|--------------------------------------| / / ______\\| / / ______\\| | / / ______\\ 25*re|--------------------------------------| | / / ______\\ 25*im|--------------------------------------| / / ______\\| / / ______\\| | | |3*\/ 6531 || | _________________| | | |3*\/ 6531 || | _________________| | |3*\/ 6531 ||| | |3*\/ 6531 ||| | | |3*\/ 6531 || | _________________| | | |3*\/ 6531 || | _________________| | |3*\/ 6531 ||| | |3*\/ 6531 ||| | |atan|----------|| |/ ___\ / ______ | | |atan|----------|| |/ ___\ / ______ | |atan|----------||| |atan|----------||| | |atan|----------|| |/ ___\ / ______ | | |atan|----------|| |/ ___\ / ______ | |atan|----------||| |atan|----------||| | | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | | | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | ___ | \ 61 /|| ___ | \ 61 /|| | | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | | | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | ___ | \ 61 /|| ___ | \ 61 /|| / _________________ \ | 5*cos|----------------| ||- - - -------|*3 / -- + ---------- | | 5*sin|----------------| ||- - - -------|*3 / -- + ---------- | 5*\/ 3 *cos|----------------|| 5*\/ 3 *sin|----------------|| | 5*cos|----------------| ||- - + -------|*3 / -- + ---------- | | 5*sin|----------------| ||- - + -------|*3 / -- + ---------- | 5*\/ 3 *cos|----------------|| 5*\/ 3 *sin|----------------|| | / ______ | | 4 \ 3 / \\ 2 2 / \/ 54 18 / | \ 3 / \\ 2 2 / \/ 54 18 / \ 3 /| \ 3 /| | 4 \ 3 / \\ 2 2 / \/ 54 18 / | \ 3 / \\ 2 2 / \/ 54 18 / \ 3 /| \ 3 /| | 4 / 61 I*\/ 6531 25 | |- - - ----------------------- + --------------------------------------------- + I*|- ----------------------- + --------------------------------------------- - -----------------------------| + -----------------------------|*|- - - ----------------------- + --------------------------------------------- + I*|- ----------------------- + --------------------------------------------- + -----------------------------| - -----------------------------|*|- - + 3 / -- + ---------- + ------------------------| \ 3 6 9 \ 6 9 6 / 6 / \ 3 6 9 \ 6 9 6 / 6 / | 3 \/ 54 18 _________________| | / ______ | | / 61 I*\/ 6531 | | 9*3 / -- + ---------- | \ \/ 54 18 /
=
/ / / ______\\ / / ______\\\ | | |3*\/ 6531 || | |3*\/ 6531 ||| / ___________________ / ___________________\\ | |atan|----------|| |2*atan|----------||| | 3 ___ 3 / ______ | 2/3 3 / ______ || | | \ 61 /| | \ 61 /|| \50*\/ 2 + \/ 61 + 3*I*\/ 6531 *\-8 + 2 *\/ 61 + 3*I*\/ 6531 //*|-36 + 160*cos|----------------| + 200*cos|------------------|| \ \ 3 / \ 3 // -------------------------------------------------------------------------------------------------------------------------------------- ___________________ 3 / ______ 216*\/ 61 + 3*I*\/ 6531
(50*2^(1/3) + (61 + 3*i*sqrt(6531))^(1/3)*(-8 + 2^(2/3)*(61 + 3*i*sqrt(6531))^(1/3)))*(-36 + 160*cos(atan(3*sqrt(6531)/61)/3) + 200*cos(2*atan(3*sqrt(6531)/61)/3))/(216*(61 + 3*i*sqrt(6531))^(1/3))
/ 1 \ / / 1 \ \ / / ______\\ 25*re|--------------------------------------| | / / ______\\ 25*im|--------------------------------------| / / ______\\| / / ______\\ | |3*\/ 6531 || | _________________| | | |3*\/ 6531 || | _________________| | |3*\/ 6531 ||| | |3*\/ 6531 || |atan|----------|| |/ ___\ / ______ | | |atan|----------|| |/ ___\ / ______ | |atan|----------||| |atan|----------|| | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | | | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | ___ | \ 61 /|| ___ | \ 61 /| 5*cos|----------------| ||- - - -------|*3 / -- + ---------- | | 5*sin|----------------| ||- - - -------|*3 / -- + ---------- | 5*\/ 3 *cos|----------------|| 5*\/ 3 *sin|----------------| 4 \ 3 / \\ 2 2 / \/ 54 18 / | \ 3 / \\ 2 2 / \/ 54 18 / \ 3 /| \ 3 / x1 = - - - ----------------------- + --------------------------------------------- + I*|- ----------------------- + --------------------------------------------- - -----------------------------| + ----------------------------- 3 6 9 \ 6 9 6 / 6
/ 1 \ / / 1 \ \ / / ______\\ 25*re|--------------------------------------| | / / ______\\ 25*im|--------------------------------------| / / ______\\| / / ______\\ | |3*\/ 6531 || | _________________| | | |3*\/ 6531 || | _________________| | |3*\/ 6531 ||| | |3*\/ 6531 || |atan|----------|| |/ ___\ / ______ | | |atan|----------|| |/ ___\ / ______ | |atan|----------||| |atan|----------|| | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | | | \ 61 /| || 1 I*\/ 3 | / 61 I*\/ 6531 | ___ | \ 61 /|| ___ | \ 61 /| 5*cos|----------------| ||- - + -------|*3 / -- + ---------- | | 5*sin|----------------| ||- - + -------|*3 / -- + ---------- | 5*\/ 3 *cos|----------------|| 5*\/ 3 *sin|----------------| 4 \ 3 / \\ 2 2 / \/ 54 18 / | \ 3 / \\ 2 2 / \/ 54 18 / \ 3 /| \ 3 / x2 = - - - ----------------------- + --------------------------------------------- + I*|- ----------------------- + --------------------------------------------- + -----------------------------| - ----------------------------- 3 6 9 \ 6 9 6 / 6
_________________ / ______ 4 / 61 I*\/ 6531 25 x3 = - - + 3 / -- + ---------- + ------------------------ 3 \/ 54 18 _________________ / ______ / 61 I*\/ 6531 9*3 / -- + ---------- \/ 54 18
x3 = -4/3 + 25/(9*(61/54 + sqrt(6531)*i/18)^(1/3)) + (61/54 + sqrt(6531)*i/18)^(1/3)
x1 = -1.6069012845906 - 0.e-22*i
x2 = -4.07356235130883 + 0.e-22*i
x3 = 1.68046363589943 - 0.e-20*i
x3 = 1.68046363589943 - 0.e-20*i