El profesor se sorprenderá mucho al ver tu solución correcta😉
4 3 2 625*x + 3600*x + 7580*x + 6916*x + 2312 = 0
x1 = -2
/ 1 \ / / 1 \ \ 196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| / / ______\\ | ______________________| | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | |15*\/ 1455 || |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| ___ | \ 1247 /| ||- - - -------|*3 / ----- + ------------ | 7*cos|-----------------| | ||- - - -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| 7*\/ 3 *sin|-----------------| 94 \\ 2 2 / \/ 15625 3125 / \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| \ 3 / x2 = - -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ + ------------------------------| - ------------------------------ 75 1875 75 \ 1875 75 75 / 75
/ 1 \ / / 1 \ \ 196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| / / ______\\ | ______________________| | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | |15*\/ 1455 || |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| ___ | \ 1247 /| ||- - + -------|*3 / ----- + ------------ | 7*cos|-----------------| | ||- - + -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| 7*\/ 3 *sin|-----------------| 94 \\ 2 2 / \/ 15625 3125 / \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| \ 3 / x3 = - -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ - ------------------------------| + ------------------------------ 75 1875 75 \ 1875 75 75 / 75
______________________ / ______ / 2494 6*I*\/ 1455 3 / ----- + ------------ 94 196 \/ 15625 3125 x4 = - -- - -------------------------------- - --------------------------- 75 ______________________ 3 / ______ / 2494 6*I*\/ 1455 1875*3 / ----- + ------------ \/ 15625 3125
x4 = -94/75 - (2494/15625 + 6*sqrt(1455)*i/3125)^(1/3)/3 - 196/(1875*(2494/15625 + 6*sqrt(1455)*i/3125)^(1/3))
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \ 196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| / / ______\\ 196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| / / ______\\ | ______________________| | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | |15*\/ 1455 || | ______________________| | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | |15*\/ 1455 || ______________________ |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------|| / ______ || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| ___ | \ 1247 /| || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| ___ | \ 1247 /| / 2494 6*I*\/ 1455 ||- - - -------|*3 / ----- + ------------ | 7*cos|-----------------| | ||- - - -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| 7*\/ 3 *sin|-----------------| ||- - + -------|*3 / ----- + ------------ | 7*cos|-----------------| | ||- - + -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| 7*\/ 3 *sin|-----------------| 3 / ----- + ------------ 94 \\ 2 2 / \/ 15625 3125 / \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| \ 3 / 94 \\ 2 2 / \/ 15625 3125 / \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| \ 3 / 94 196 \/ 15625 3125 -2 + - -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ + ------------------------------| - ------------------------------ + - -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ - ------------------------------| + ------------------------------ + - -- - -------------------------------- - --------------------------- 75 1875 75 \ 1875 75 75 / 75 75 1875 75 \ 1875 75 75 / 75 75 ______________________ 3 / ______ / 2494 6*I*\/ 1455 1875*3 / ----- + ------------ \/ 15625 3125
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \ 196*re|-------------------------------------------| 196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| | 196*im|-------------------------------------------| / / ______\\ / / ______\\| | ______________________| | ______________________| ______________________ | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| |/ ___\ / ______ | |/ ___\ / ______ | / ______ |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | / 2494 6*I*\/ 1455 | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| ||- - + -------|*3 / ----- + ------------ | ||- - - -------|*3 / ----- + ------------ | 3 / ----- + ------------ 14*cos|-----------------| | ||- - + -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| | ||- - - -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| 144 196 \\ 2 2 / \/ 15625 3125 / \\ 2 2 / \/ 15625 3125 / \/ 15625 3125 \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| - --- - -------------------------------- - --------------------------------------------------- - --------------------------------------------------- - --------------------------- + ------------------------- + I*|- --------------------------------------------------- + ------------------------ - ------------------------------| + I*|- --------------------------------------------------- + ------------------------ + ------------------------------| 25 ______________________ 1875 1875 3 75 \ 1875 75 75 / \ 1875 75 75 / / ______ / 2494 6*I*\/ 1455 1875*3 / ----- + ------------ \/ 15625 3125
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \ | 196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| / / ______\\| | 196*re|-------------------------------------------| / / ______\\ | 196*im|-------------------------------------------| / / ______\\ / / ______\\| / / ______\\| | | ______________________| | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | |15*\/ 1455 ||| | | ______________________| | |15*\/ 1455 || | | ______________________| | |15*\/ 1455 || | |15*\/ 1455 ||| | |15*\/ 1455 ||| / ______________________\ | |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------||| | |/ ___\ / ______ | |atan|-----------|| | |/ ___\ / ______ | |atan|-----------|| |atan|-----------||| |atan|-----------||| | / ______ | | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| ___ | \ 1247 /|| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| | || 1 I*\/ 3 | / 2494 6*I*\/ 1455 | | \ 1247 /| ___ | \ 1247 /|| ___ | \ 1247 /|| | / 2494 6*I*\/ 1455 | | ||- - - -------|*3 / ----- + ------------ | 7*cos|-----------------| | ||- - - -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| 7*\/ 3 *sin|-----------------|| | ||- - + -------|*3 / ----- + ------------ | 7*cos|-----------------| | ||- - + -------|*3 / ----- + ------------ | 7*sin|-----------------| 7*\/ 3 *cos|-----------------|| 7*\/ 3 *sin|-----------------|| | 3 / ----- + ------------ | | 94 \\ 2 2 / \/ 15625 3125 / \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| \ 3 /| | 94 \\ 2 2 / \/ 15625 3125 / \ 3 / | \\ 2 2 / \/ 15625 3125 / \ 3 / \ 3 /| \ 3 /| | 94 196 \/ 15625 3125 | -2*|- -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ + ------------------------------| - ------------------------------|*|- -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ - ------------------------------| + ------------------------------|*|- -- - -------------------------------- - ---------------------------| \ 75 1875 75 \ 1875 75 75 / 75 / \ 75 1875 75 \ 1875 75 75 / 75 / | 75 ______________________ 3 | | / ______ | | / 2494 6*I*\/ 1455 | | 1875*3 / ----- + ------------ | \ \/ 15625 3125 /
=
/ / / ______\\ / / ______\\\ | | |15*\/ 1455 || | |15*\/ 1455 ||| / ______________________ / ______________________\\ | |atan|-----------|| |2*atan|-----------||| 2/3 | 3 / ______ | 3 / ______ || | | \ 1247 /| | \ 1247 /|| 2 *\196 + \/ 2494 + 30*I*\/ 1455 *\94 + \/ 2494 + 30*I*\/ 1455 //*|8640 - 2632*cos|-----------------| + 392*cos|-------------------|| \ \ 3 / \ 3 // ------------------------------------------------------------------------------------------------------------------------------------------- ______________________ 3 / ______ 421875*\/ 1247 + 15*I*\/ 1455
2^(2/3)*(196 + (2494 + 30*i*sqrt(1455))^(1/3)*(94 + (2494 + 30*i*sqrt(1455))^(1/3)))*(8640 - 2632*cos(atan(15*sqrt(1455)/1247)/3) + 392*cos(2*atan(15*sqrt(1455)/1247)/3))/(421875*(1247 + 15*i*sqrt(1455))^(1/3))
x1 = -1.02238013695128
x2 = -1.11478473760844
x3 = -2.0
x4 = -1.62283512544027
x4 = -1.62283512544027