El profesor se sorprenderá mucho al ver tu solución correcta😉
2 13 -- - 2*x - -- = 0 2 2 x
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \ 169*re|------------------------------------------| / / ______\\ | 169*im|------------------------------------------| / / ______\\ / / ______\\| / / ______\\ 169*re|------------------------------------------| / / ______\\ | 169*im|------------------------------------------| / / ______\\ / / ______\\| / / ______\\ | _____________________| | |24*\/ 5295 || | | _____________________| | |24*\/ 5295 || | |24*\/ 5295 ||| | |24*\/ 5295 || | _____________________| | |24*\/ 5295 || | | _____________________| | |24*\/ 5295 || | |24*\/ 5295 ||| | |24*\/ 5295 || _____________________ |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| / ______ || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| | || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| ___ | \ 1333 /|| ___ | \ 1333 /| || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| | || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| ___ | \ 1333 /|| ___ | \ 1333 /| / 1333 3*I*\/ 5295 ||- - - -------|*3 / ---- + ------------ | 13*cos|-----------------| | ||- - - -------|*3 / ---- + ------------ | 13*sin|-----------------| 13*\/ 3 *cos|-----------------|| 13*\/ 3 *sin|-----------------| ||- - + -------|*3 / ---- + ------------ | 13*cos|-----------------| | ||- - + -------|*3 / ---- + ------------ | 13*sin|-----------------| 13*\/ 3 *cos|-----------------|| 13*\/ 3 *sin|-----------------| 3 / ---- + ------------ 13 \\ 2 2 / \/ 64 8 / \ 3 / | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| \ 3 / 13 \\ 2 2 / \/ 64 8 / \ 3 / | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| \ 3 / 13 169 \/ 64 8 - -- - -------------------------------------------------- + ------------------------- + I*|- -------------------------------------------------- + ------------------------- + -------------------------------| - ------------------------------- + - -- - -------------------------------------------------- + ------------------------- + I*|- -------------------------------------------------- + ------------------------- - -------------------------------| + ------------------------------- + - -- - ----------------------------- - -------------------------- 12 48 24 \ 48 24 24 / 24 12 48 24 \ 48 24 24 / 24 12 _____________________ 3 / ______ / 1333 3*I*\/ 5295 48*3 / ---- + ------------ \/ 64 8
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \ 169*re|------------------------------------------| 169*re|------------------------------------------| / / ______\\ | 169*im|------------------------------------------| / / ______\\ / / ______\\| | 169*im|------------------------------------------| / / ______\\ / / ______\\| | _____________________| | _____________________| _____________________ | |24*\/ 5295 || | | _____________________| | |24*\/ 5295 || | |24*\/ 5295 ||| | | _____________________| | |24*\/ 5295 || | |24*\/ 5295 ||| |/ ___\ / ______ | |/ ___\ / ______ | / ______ |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | / 1333 3*I*\/ 5295 | \ 1333 /| | || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| ___ | \ 1333 /|| | || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| ___ | \ 1333 /|| ||- - + -------|*3 / ---- + ------------ | ||- - - -------|*3 / ---- + ------------ | 3 / ---- + ------------ 13*cos|-----------------| | ||- - + -------|*3 / ---- + ------------ | 13*sin|-----------------| 13*\/ 3 *cos|-----------------|| | ||- - - -------|*3 / ---- + ------------ | 13*sin|-----------------| 13*\/ 3 *cos|-----------------|| 13 169 \\ 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 / / ______ / 1333 3*I*\/ 5295 48*3 / ---- + ------------ \/ 64 8
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \ | 169*re|------------------------------------------| / / ______\\ | 169*im|------------------------------------------| / / ______\\ / / ______\\| / / ______\\| | 169*re|------------------------------------------| / / ______\\ | 169*im|------------------------------------------| / / ______\\ / / ______\\| / / ______\\| | | _____________________| | |24*\/ 5295 || | | _____________________| | |24*\/ 5295 || | |24*\/ 5295 ||| | |24*\/ 5295 ||| | | _____________________| | |24*\/ 5295 || | | _____________________| | |24*\/ 5295 || | |24*\/ 5295 ||| | |24*\/ 5295 ||| / _____________________\ | |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------||| | |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------||| | / ______ | | || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| | || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| ___ | \ 1333 /|| ___ | \ 1333 /|| | || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| | || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| ___ | \ 1333 /|| ___ | \ 1333 /|| | / 1333 3*I*\/ 5295 | | ||- - - -------|*3 / ---- + ------------ | 13*cos|-----------------| | ||- - - -------|*3 / ---- + ------------ | 13*sin|-----------------| 13*\/ 3 *cos|-----------------|| 13*\/ 3 *sin|-----------------|| | ||- - + -------|*3 / ---- + ------------ | 13*cos|-----------------| | ||- - + -------|*3 / ---- + ------------ | 13*sin|-----------------| 13*\/ 3 *cos|-----------------|| 13*\/ 3 *sin|-----------------|| | 3 / ---- + ------------ | | 13 \\ 2 2 / \/ 64 8 / \ 3 / | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| \ 3 /| | 13 \\ 2 2 / \/ 64 8 / \ 3 / | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| \ 3 /| | 13 169 \/ 64 8 | |- -- - -------------------------------------------------- + ------------------------- + I*|- -------------------------------------------------- + ------------------------- + -------------------------------| - -------------------------------|*|- -- - -------------------------------------------------- + ------------------------- + I*|- -------------------------------------------------- + ------------------------- - -------------------------------| + -------------------------------|*|- -- - ----------------------------- - --------------------------| \ 12 48 24 \ 48 24 24 / 24 / \ 12 48 24 \ 48 24 24 / 24 / | 12 _____________________ 3 | | / ______ | | / 1333 3*I*\/ 5295 | | 48*3 / ---- + ------------ | \ \/ 64 8 /
=
/ / / ______\\ / / ______\\\ | | |24*\/ 5295 || | |24*\/ 5295 ||| / ______________________ / ______________________\\ | |2*atan|-----------|| |atan|-----------||| | 3 / ______ | 3 / ______ || | | \ 1333 /| | \ 1333 /|| 169*\169 + \/ 1333 + 24*I*\/ 5295 *\13 + \/ 1333 + 24*I*\/ 5295 //*|- cos|-------------------| + cos|-----------------|| \ \ 3 / \ 3 // ---------------------------------------------------------------------------------------------------------------------------- ______________________ 3 / ______ 864*\/ 1333 + 24*I*\/ 5295
169*(169 + (1333 + 24*i*sqrt(5295))^(1/3)*(13 + (1333 + 24*i*sqrt(5295))^(1/3)))*(-cos(2*atan(24*sqrt(5295)/1333)/3) + cos(atan(24*sqrt(5295)/1333)/3))/(864*(1333 + 24*i*sqrt(5295))^(1/3))
/ 1 \ / / 1 \ \ 169*re|------------------------------------------| / / ______\\ | 169*im|------------------------------------------| / / ______\\ / / ______\\| / / ______\\ | _____________________| | |24*\/ 5295 || | | _____________________| | |24*\/ 5295 || | |24*\/ 5295 ||| | |24*\/ 5295 || |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| | || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| ___ | \ 1333 /|| ___ | \ 1333 /| ||- - - -------|*3 / ---- + ------------ | 13*cos|-----------------| | ||- - - -------|*3 / ---- + ------------ | 13*sin|-----------------| 13*\/ 3 *cos|-----------------|| 13*\/ 3 *sin|-----------------| 13 \\ 2 2 / \/ 64 8 / \ 3 / | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| \ 3 / x1 = - -- - -------------------------------------------------- + ------------------------- + I*|- -------------------------------------------------- + ------------------------- + -------------------------------| - ------------------------------- 12 48 24 \ 48 24 24 / 24
/ 1 \ / / 1 \ \ 169*re|------------------------------------------| / / ______\\ | 169*im|------------------------------------------| / / ______\\ / / ______\\| / / ______\\ | _____________________| | |24*\/ 5295 || | | _____________________| | |24*\/ 5295 || | |24*\/ 5295 ||| | |24*\/ 5295 || |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| | || 1 I*\/ 3 | / 1333 3*I*\/ 5295 | | \ 1333 /| ___ | \ 1333 /|| ___ | \ 1333 /| ||- - + -------|*3 / ---- + ------------ | 13*cos|-----------------| | ||- - + -------|*3 / ---- + ------------ | 13*sin|-----------------| 13*\/ 3 *cos|-----------------|| 13*\/ 3 *sin|-----------------| 13 \\ 2 2 / \/ 64 8 / \ 3 / | \\ 2 2 / \/ 64 8 / \ 3 / \ 3 /| \ 3 / x2 = - -- - -------------------------------------------------- + ------------------------- + I*|- -------------------------------------------------- + ------------------------- - -------------------------------| + ------------------------------- 12 48 24 \ 48 24 24 / 24
_____________________ / ______ / 1333 3*I*\/ 5295 3 / ---- + ------------ 13 169 \/ 64 8 x3 = - -- - ----------------------------- - -------------------------- 12 _____________________ 3 / ______ / 1333 3*I*\/ 5295 48*3 / ---- + ------------ \/ 64 8
x3 = -13/12 - (1333/64 + 3*sqrt(5295)*i/8)^(1/3)/3 - 169/(48*(1333/64 + 3*sqrt(5295)*i/8)^(1/3))
x1 = -0.616178966141236 + 0.e-22*i
x2 = 0.51534449568304 - 0.e-22*i
x3 = -3.1491655295418 + 0.e-23*i
x3 = -3.1491655295418 + 0.e-23*i