El profesor se sorprenderá mucho al ver tu solución correcta😉
3 ______ x - 2022*x + \/ 2021 = 0
suma
/ / / ______\\ / / ______\\\ / / ______\\ / / ______\\ / / / ______\\ / / ______\\\ / / ______\\ / / ______\\ | | |20205*\/ 6063 || | |20205*\/ 6063 ||| | |20205*\/ 6063 || | |20205*\/ 6063 || | | |20205*\/ 6063 || | |20205*\/ 6063 ||| | |20205*\/ 6063 || | |20205*\/ 6063 || ______________________________ | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------|| | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------|| / ______ ___ | _____ | \ 2021 /| ______ | \ 2021 /|| _____ | \ 2021 /| ______ | \ 2021 /| | _____ | \ 2021 /| ______ | \ 2021 /|| _____ | \ 2021 /| ______ | \ 2021 /| / 27*\/ 2021 545535*I*\/ 3 | \/ 674 *sin|--------------------| \/ 2022 *cos|--------------------|| \/ 674 *cos|--------------------| \/ 2022 *sin|--------------------| | \/ 674 *sin|--------------------| \/ 2022 *cos|--------------------|| \/ 674 *cos|--------------------| \/ 2022 *sin|--------------------| 3 / ----------- + -------------- / 1 \ | / 1 \ \ 3 / \ 3 /| \ 3 / \ 3 / / 1 \ | / 1 \ \ 3 / \ 3 /| \ 3 / \ 3 / 2022 \/ 2 2 - 2022*re|---------------------------------------------------| + I*|- 2022*im|---------------------------------------------------| + --------------------------------- + ----------------------------------| + --------------------------------- - ---------------------------------- + - 2022*re|---------------------------------------------------| + I*|- 2022*im|---------------------------------------------------| + --------------------------------- - ----------------------------------| + --------------------------------- + ---------------------------------- + - ----------------------------------- - ----------------------------------- | ______________________________| | | ______________________________| 2 2 | 2 2 | ______________________________| | | ______________________________| 2 2 | 2 2 ______________________________ 3 |/ ___\ / ______ ___ | | |/ ___\ / ______ ___ | | |/ ___\ / ______ ___ | | |/ ___\ / ______ ___ | | / ______ ___ || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | / 27*\/ 2021 545535*I*\/ 3 ||- - - -------|*3 / ----------- + -------------- | | ||- - - -------|*3 / ----------- + -------------- | | ||- - + -------|*3 / ----------- + -------------- | | ||- - + -------|*3 / ----------- + -------------- | | 3 / ----------- + -------------- \\ 2 2 / \/ 2 2 / \ \\ 2 2 / \/ 2 2 / / \\ 2 2 / \/ 2 2 / \ \\ 2 2 / \/ 2 2 / / \/ 2 2
=
/ / / ______\\ / / ______\\\ / / / ______\\ / / ______\\\ ______________________________ | | |20205*\/ 6063 || | |20205*\/ 6063 ||| | | |20205*\/ 6063 || | |20205*\/ 6063 ||| / ______ ___ | |atan|--------------|| |atan|--------------||| | |atan|--------------|| |atan|--------------||| / / ______\\ / 27*\/ 2021 545535*I*\/ 3 | _____ | \ 2021 /| ______ | \ 2021 /|| | _____ | \ 2021 /| ______ | \ 2021 /|| | |20205*\/ 6063 || 3 / ----------- + -------------- | \/ 674 *sin|--------------------| \/ 2022 *cos|--------------------|| | \/ 674 *sin|--------------------| \/ 2022 *cos|--------------------|| |atan|--------------|| 2022 / 1 \ / 1 \ \/ 2 2 | / 1 \ \ 3 / \ 3 /| | / 1 \ \ 3 / \ 3 /| _____ | \ 2021 /| - ----------------------------------- - 2022*re|---------------------------------------------------| - 2022*re|---------------------------------------------------| - ----------------------------------- + I*|- 2022*im|---------------------------------------------------| + --------------------------------- - ----------------------------------| + I*|- 2022*im|---------------------------------------------------| + --------------------------------- + ----------------------------------| + \/ 674 *cos|--------------------| ______________________________ | ______________________________| | ______________________________| 3 | | ______________________________| 2 2 | | | ______________________________| 2 2 | \ 3 / / ______ ___ |/ ___\ / ______ ___ | |/ ___\ / ______ ___ | | |/ ___\ / ______ ___ | | | |/ ___\ / ______ ___ | | / 27*\/ 2021 545535*I*\/ 3 || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | 3 / ----------- + -------------- ||- - + -------|*3 / ----------- + -------------- | ||- - - -------|*3 / ----------- + -------------- | | ||- - + -------|*3 / ----------- + -------------- | | | ||- - - -------|*3 / ----------- + -------------- | | \/ 2 2 \\ 2 2 / \/ 2 2 / \\ 2 2 / \/ 2 2 / \ \\ 2 2 / \/ 2 2 / / \ \\ 2 2 / \/ 2 2 / /
producto
/ / / / ______\\ / / ______\\\ / / ______\\ / / ______\\\ / / / / ______\\ / / ______\\\ / / ______\\ / / ______\\\ | | | |20205*\/ 6063 || | |20205*\/ 6063 ||| | |20205*\/ 6063 || | |20205*\/ 6063 ||| | | | |20205*\/ 6063 || | |20205*\/ 6063 ||| | |20205*\/ 6063 || | |20205*\/ 6063 ||| / ______________________________\ | | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------||| | | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------||| | / ______ ___ | | | _____ | \ 2021 /| ______ | \ 2021 /|| _____ | \ 2021 /| ______ | \ 2021 /|| | | _____ | \ 2021 /| ______ | \ 2021 /|| _____ | \ 2021 /| ______ | \ 2021 /|| | / 27*\/ 2021 545535*I*\/ 3 | | | \/ 674 *sin|--------------------| \/ 2022 *cos|--------------------|| \/ 674 *cos|--------------------| \/ 2022 *sin|--------------------|| | | \/ 674 *sin|--------------------| \/ 2022 *cos|--------------------|| \/ 674 *cos|--------------------| \/ 2022 *sin|--------------------|| | 3 / ----------- + -------------- | | / 1 \ | / 1 \ \ 3 / \ 3 /| \ 3 / \ 3 /| | / 1 \ | / 1 \ \ 3 / \ 3 /| \ 3 / \ 3 /| | 2022 \/ 2 2 | |- 2022*re|---------------------------------------------------| + I*|- 2022*im|---------------------------------------------------| + --------------------------------- + ----------------------------------| + --------------------------------- - ----------------------------------|*|- 2022*re|---------------------------------------------------| + I*|- 2022*im|---------------------------------------------------| + --------------------------------- - ----------------------------------| + --------------------------------- + ----------------------------------|*|- ----------------------------------- - -----------------------------------| | | ______________________________| | | ______________________________| 2 2 | 2 2 | | | ______________________________| | | ______________________________| 2 2 | 2 2 | | ______________________________ 3 | | |/ ___\ / ______ ___ | | |/ ___\ / ______ ___ | | | | |/ ___\ / ______ ___ | | |/ ___\ / ______ ___ | | | | / ______ ___ | | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | | | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | | | / 27*\/ 2021 545535*I*\/ 3 | | ||- - - -------|*3 / ----------- + -------------- | | ||- - - -------|*3 / ----------- + -------------- | | | | ||- - + -------|*3 / ----------- + -------------- | | ||- - + -------|*3 / ----------- + -------------- | | | | 3 / ----------- + -------------- | \ \\ 2 2 / \/ 2 2 / \ \\ 2 2 / \/ 2 2 / / / \ \\ 2 2 / \/ 2 2 / \ \\ 2 2 / \/ 2 2 / / / \ \/ 2 2 /
=
/ / / ______\\\ | | |20205*\/ 6063 ||| | |2*atan|--------------||| / 2/3\ 3 ___ | | \ 2021 /|| | 3 ___ / ______ ___\ | 337*\/ 2 *|1 - 2*cos|----------------------||*\1348 + \/ 2 *\\/ 2021 + 20205*I*\/ 3 / / \ \ 3 // ------------------------------------------------------------------------------------------ __________________________ 3 / ______ ___ \/ \/ 2021 + 20205*I*\/ 3
337*2^(1/3)*(1 - 2*cos(2*atan(20205*sqrt(6063)/2021)/3))*(1348 + 2^(1/3)*(sqrt(2021) + 20205*i*sqrt(3))^(2/3))/(sqrt(2021) + 20205*i*sqrt(3))^(1/3)
/ / / ______\\ / / ______\\\ / / ______\\ / / ______\\ | | |20205*\/ 6063 || | |20205*\/ 6063 ||| | |20205*\/ 6063 || | |20205*\/ 6063 || | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------|| | _____ | \ 2021 /| ______ | \ 2021 /|| _____ | \ 2021 /| ______ | \ 2021 /| | \/ 674 *sin|--------------------| \/ 2022 *cos|--------------------|| \/ 674 *cos|--------------------| \/ 2022 *sin|--------------------| / 1 \ | / 1 \ \ 3 / \ 3 /| \ 3 / \ 3 / x1 = - 2022*re|---------------------------------------------------| + I*|- 2022*im|---------------------------------------------------| + --------------------------------- + ----------------------------------| + --------------------------------- - ---------------------------------- | ______________________________| | | ______________________________| 2 2 | 2 2 |/ ___\ / ______ ___ | | |/ ___\ / ______ ___ | | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | ||- - - -------|*3 / ----------- + -------------- | | ||- - - -------|*3 / ----------- + -------------- | | \\ 2 2 / \/ 2 2 / \ \\ 2 2 / \/ 2 2 / /
/ / / ______\\ / / ______\\\ / / ______\\ / / ______\\ | | |20205*\/ 6063 || | |20205*\/ 6063 ||| | |20205*\/ 6063 || | |20205*\/ 6063 || | |atan|--------------|| |atan|--------------||| |atan|--------------|| |atan|--------------|| | _____ | \ 2021 /| ______ | \ 2021 /|| _____ | \ 2021 /| ______ | \ 2021 /| | \/ 674 *sin|--------------------| \/ 2022 *cos|--------------------|| \/ 674 *cos|--------------------| \/ 2022 *sin|--------------------| / 1 \ | / 1 \ \ 3 / \ 3 /| \ 3 / \ 3 / x2 = - 2022*re|---------------------------------------------------| + I*|- 2022*im|---------------------------------------------------| + --------------------------------- - ----------------------------------| + --------------------------------- + ---------------------------------- | ______________________________| | | ______________________________| 2 2 | 2 2 |/ ___\ / ______ ___ | | |/ ___\ / ______ ___ | | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | || 1 I*\/ 3 | / 27*\/ 2021 545535*I*\/ 3 | | ||- - + -------|*3 / ----------- + -------------- | | ||- - + -------|*3 / ----------- + -------------- | | \\ 2 2 / \/ 2 2 / \ \\ 2 2 / \/ 2 2 / /
______________________________ / ______ ___ / 27*\/ 2021 545535*I*\/ 3 3 / ----------- + -------------- 2022 \/ 2 2 x3 = - ----------------------------------- - ----------------------------------- ______________________________ 3 / ______ ___ / 27*\/ 2021 545535*I*\/ 3 3 / ----------- + -------------- \/ 2 2
x3 = -(27*sqrt(2021)/2 + 545535*sqrt(3)*i/2)^(1/3)/3 - 2022/(27*sqrt(2021)/2 + 545535*sqrt(3)*i/2)^(1/3)
x1 = 44.955533585978 + 1.0842021724855e-19*i
x2 = -44.977766792989
x3 = 0.0222332070109776
x3 = 0.0222332070109776