El profesor se sorprenderá mucho al ver tu solución correcta😉
2 / 2 \ 2 x + 2*x - (x + 2)*\2*x - x/ = 6*(2*x - 1)
/ 1 \ / / 1 \ \ 211*re|------------------------------------------| | 211*im|------------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\ | _____________________| | | _____________________| | |9*\/ 2555 || | |9*\/ 2555 ||| | |9*\/ 2555 || | |9*\/ 2555 || |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------|| || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | | || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | _____ | \ 6113 /| _____ | \ 6113 /|| _____ | \ 6113 /| _____ | \ 6113 /| ||- - - -------|*3 / ---- + ------------ | | ||- - - -------|*3 / ---- + ------------ | \/ 211 *sin|----------------| \/ 633 *cos|----------------|| \/ 633 *sin|----------------| \/ 211 *cos|----------------| 13 \\ 2 2 / \/ 2 2 / | \\ 2 2 / \/ 2 2 / \ 3 / \ 3 /| \ 3 / \ 3 / x1 = - -- - -------------------------------------------------- + I*|- -------------------------------------------------- + ----------------------------- + -----------------------------| - ----------------------------- + ----------------------------- 3 3 \ 3 6 6 / 6 6
/ 1 \ / / 1 \ \ 211*re|------------------------------------------| | 211*im|------------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\ | _____________________| | | _____________________| | |9*\/ 2555 || | |9*\/ 2555 ||| | |9*\/ 2555 || | |9*\/ 2555 || |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------|| || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | | || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | _____ | \ 6113 /| _____ | \ 6113 /|| _____ | \ 6113 /| _____ | \ 6113 /| ||- - + -------|*3 / ---- + ------------ | | ||- - + -------|*3 / ---- + ------------ | \/ 633 *cos|----------------| \/ 211 *sin|----------------|| \/ 211 *cos|----------------| \/ 633 *sin|----------------| 13 \\ 2 2 / \/ 2 2 / | \\ 2 2 / \/ 2 2 / \ 3 / \ 3 /| \ 3 / \ 3 / x2 = - -- - -------------------------------------------------- + I*|- -------------------------------------------------- - ----------------------------- + -----------------------------| + ----------------------------- + ----------------------------- 3 3 \ 3 6 6 / 6 6
_____________________ / ______ / 6113 9*I*\/ 2555 3 / ---- + ------------ 13 211 \/ 2 2 x3 = - -- - ---------------------------- - -------------------------- 3 _____________________ 3 / ______ / 6113 9*I*\/ 2555 3*3 / ---- + ------------ \/ 2 2
x3 = -13/3 - (6113/2 + 9*sqrt(2555)*i/2)^(1/3)/3 - 211/(3*(6113/2 + 9*sqrt(2555)*i/2)^(1/3))
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \ 211*re|------------------------------------------| | 211*im|------------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\ 211*re|------------------------------------------| | 211*im|------------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\ | _____________________| | | _____________________| | |9*\/ 2555 || | |9*\/ 2555 ||| | |9*\/ 2555 || | |9*\/ 2555 || | _____________________| | | _____________________| | |9*\/ 2555 || | |9*\/ 2555 ||| | |9*\/ 2555 || | |9*\/ 2555 || _____________________ |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------|| |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------|| / ______ || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | | || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | _____ | \ 6113 /| _____ | \ 6113 /|| _____ | \ 6113 /| _____ | \ 6113 /| || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | | || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | _____ | \ 6113 /| _____ | \ 6113 /|| _____ | \ 6113 /| _____ | \ 6113 /| / 6113 9*I*\/ 2555 ||- - - -------|*3 / ---- + ------------ | | ||- - - -------|*3 / ---- + ------------ | \/ 211 *sin|----------------| \/ 633 *cos|----------------|| \/ 633 *sin|----------------| \/ 211 *cos|----------------| ||- - + -------|*3 / ---- + ------------ | | ||- - + -------|*3 / ---- + ------------ | \/ 633 *cos|----------------| \/ 211 *sin|----------------|| \/ 211 *cos|----------------| \/ 633 *sin|----------------| 3 / ---- + ------------ 13 \\ 2 2 / \/ 2 2 / | \\ 2 2 / \/ 2 2 / \ 3 / \ 3 /| \ 3 / \ 3 / 13 \\ 2 2 / \/ 2 2 / | \\ 2 2 / \/ 2 2 / \ 3 / \ 3 /| \ 3 / \ 3 / 13 211 \/ 2 2 - -- - -------------------------------------------------- + I*|- -------------------------------------------------- + ----------------------------- + -----------------------------| - ----------------------------- + ----------------------------- + - -- - -------------------------------------------------- + I*|- -------------------------------------------------- - ----------------------------- + -----------------------------| + ----------------------------- + ----------------------------- + - -- - ---------------------------- - -------------------------- 3 3 \ 3 6 6 / 6 6 3 3 \ 3 6 6 / 6 6 3 _____________________ 3 / ______ / 6113 9*I*\/ 2555 3*3 / ---- + ------------ \/ 2 2
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \ 211*re|------------------------------------------| 211*re|------------------------------------------| | 211*im|------------------------------------------| / / ______\\ / / ______\\| | 211*im|------------------------------------------| / / ______\\ / / ______\\| / / ______\\ | _____________________| | _____________________| _____________________ | | _____________________| | |9*\/ 2555 || | |9*\/ 2555 ||| | | _____________________| | |9*\/ 2555 || | |9*\/ 2555 ||| | |9*\/ 2555 || |/ ___\ / ______ | |/ ___\ / ______ | / ______ | |/ ___\ / ______ | |atan|----------|| |atan|----------||| | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | / 6113 9*I*\/ 2555 | || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | _____ | \ 6113 /| _____ | \ 6113 /|| | || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | _____ | \ 6113 /| _____ | \ 6113 /|| _____ | \ 6113 /| ||- - + -------|*3 / ---- + ------------ | ||- - - -------|*3 / ---- + ------------ | 3 / ---- + ------------ | ||- - + -------|*3 / ---- + ------------ | \/ 633 *cos|----------------| \/ 211 *sin|----------------|| | ||- - - -------|*3 / ---- + ------------ | \/ 211 *sin|----------------| \/ 633 *cos|----------------|| \/ 211 *cos|----------------| 211 \\ 2 2 / \/ 2 2 / \\ 2 2 / \/ 2 2 / \/ 2 2 | \\ 2 2 / \/ 2 2 / \ 3 / \ 3 /| | \\ 2 2 / \/ 2 2 / \ 3 / \ 3 /| \ 3 / -13 - ---------------------------- - -------------------------------------------------- - -------------------------------------------------- - -------------------------- + I*|- -------------------------------------------------- - ----------------------------- + -----------------------------| + I*|- -------------------------------------------------- + ----------------------------- + -----------------------------| + ----------------------------- _____________________ 3 3 3 \ 3 6 6 / \ 3 6 6 / 3 / ______ / 6113 9*I*\/ 2555 3*3 / ---- + ------------ \/ 2 2
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \ | 211*re|------------------------------------------| | 211*im|------------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\| | 211*re|------------------------------------------| | 211*im|------------------------------------------| / / ______\\ / / ______\\| / / ______\\ / / ______\\| | | _____________________| | | _____________________| | |9*\/ 2555 || | |9*\/ 2555 ||| | |9*\/ 2555 || | |9*\/ 2555 ||| | | _____________________| | | _____________________| | |9*\/ 2555 || | |9*\/ 2555 ||| | |9*\/ 2555 || | |9*\/ 2555 ||| / _____________________\ | |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------||| | |/ ___\ / ______ | | |/ ___\ / ______ | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------||| | / ______ | | || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | | || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | _____ | \ 6113 /| _____ | \ 6113 /|| _____ | \ 6113 /| _____ | \ 6113 /|| | || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | | || 1 I*\/ 3 | / 6113 9*I*\/ 2555 | _____ | \ 6113 /| _____ | \ 6113 /|| _____ | \ 6113 /| _____ | \ 6113 /|| | / 6113 9*I*\/ 2555 | | ||- - - -------|*3 / ---- + ------------ | | ||- - - -------|*3 / ---- + ------------ | \/ 211 *sin|----------------| \/ 633 *cos|----------------|| \/ 633 *sin|----------------| \/ 211 *cos|----------------|| | ||- - + -------|*3 / ---- + ------------ | | ||- - + -------|*3 / ---- + ------------ | \/ 633 *cos|----------------| \/ 211 *sin|----------------|| \/ 211 *cos|----------------| \/ 633 *sin|----------------|| | 3 / ---- + ------------ | | 13 \\ 2 2 / \/ 2 2 / | \\ 2 2 / \/ 2 2 / \ 3 / \ 3 /| \ 3 / \ 3 /| | 13 \\ 2 2 / \/ 2 2 / | \\ 2 2 / \/ 2 2 / \ 3 / \ 3 /| \ 3 / \ 3 /| | 13 211 \/ 2 2 | |- -- - -------------------------------------------------- + I*|- -------------------------------------------------- + ----------------------------- + -----------------------------| - ----------------------------- + -----------------------------|*|- -- - -------------------------------------------------- + I*|- -------------------------------------------------- - ----------------------------- + -----------------------------| + ----------------------------- + -----------------------------|*|- -- - ---------------------------- - --------------------------| \ 3 3 \ 3 6 6 / 6 6 / \ 3 3 \ 3 6 6 / 6 6 / | 3 _____________________ 3 | | / ______ | | / 6113 9*I*\/ 2555 | | 3*3 / ---- + ------------ | \ \/ 2 2 /
=
/ / / ______\\ / / ______\\\ | | |9*\/ 2555 || | |9*\/ 2555 ||| / _____________________ / _____________________\\ | |2*atan|----------|| |atan|----------||| | 3 ___ 3 / ______ | 2/3 3 / ______ || | | \ 6113 /| _____ | \ 6113 /|| \422*\/ 2 + \/ 6113 + 9*I*\/ 2555 *\26 + 2 *\/ 6113 + 9*I*\/ 2555 //*|42 - 422*cos|------------------| + 26*\/ 211 *cos|----------------|| \ \ 3 / \ 3 // ------------------------------------------------------------------------------------------------------------------------------------------------- _____________________ 3 / ______ 54*\/ 6113 + 9*I*\/ 2555
(422*2^(1/3) + (6113 + 9*i*sqrt(2555))^(1/3)*(26 + 2^(2/3)*(6113 + 9*i*sqrt(2555))^(1/3)))*(42 - 422*cos(2*atan(9*sqrt(2555)/6113)/3) + 26*sqrt(211)*cos(atan(9*sqrt(2555)/6113)/3))/(54*(6113 + 9*i*sqrt(2555))^(1/3))
x1 = 0.299494696287282
x2 = 0.714762932201176
x3 = -14.0142576284885
x3 = -14.0142576284885