El profesor se sorprenderá mucho al ver tu solución correcta😉
x - 4 2 2 ----- = x - 6*x + - x - 3 9
/ 1 \ / / 1 \ \ 88*re|-----------------------------------------| | 88*im|-----------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\ | ____________________| | | ____________________| | |\/ 8118615 || | |\/ 8118615 ||| | |\/ 8118615 || | |\/ 8118615 || |/ ___\ / _________ | | |/ ___\ / _________ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------|| || 1 I*\/ 3 | / 27 I*\/ 8118615 | | || 1 I*\/ 3 | / 27 I*\/ 8118615 | ____ | \ 243 /| ____ | \ 243 /|| ____ | \ 243 /| ____ | \ 243 /| ||- - - -------|*3 / -- + ------------- | | ||- - - -------|*3 / -- + ------------- | \/ 22 *cos|-----------------| \/ 66 *sin|-----------------|| \/ 22 *sin|-----------------| \/ 66 *cos|-----------------| \\ 2 2 / \/ 2 18 / | \\ 2 2 / \/ 2 18 / \ 3 / \ 3 /| \ 3 / \ 3 / x1 = 3 - ------------------------------------------------ + I*|- ------------------------------------------------ + ----------------------------- + -----------------------------| - ----------------------------- + ----------------------------- 9 \ 9 3 9 / 3 9
/ 1 \ / / 1 \ \ 88*re|-----------------------------------------| | 88*im|-----------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\ | ____________________| | | ____________________| | |\/ 8118615 || | |\/ 8118615 ||| | |\/ 8118615 || | |\/ 8118615 || |/ ___\ / _________ | | |/ ___\ / _________ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------|| || 1 I*\/ 3 | / 27 I*\/ 8118615 | | || 1 I*\/ 3 | / 27 I*\/ 8118615 | ____ | \ 243 /| ____ | \ 243 /|| ____ | \ 243 /| ____ | \ 243 /| ||- - + -------|*3 / -- + ------------- | | ||- - + -------|*3 / -- + ------------- | \/ 22 *cos|-----------------| \/ 66 *sin|-----------------|| \/ 22 *sin|-----------------| \/ 66 *cos|-----------------| \\ 2 2 / \/ 2 18 / | \\ 2 2 / \/ 2 18 / \ 3 / \ 3 /| \ 3 / \ 3 / x2 = 3 - ------------------------------------------------ + I*|- ------------------------------------------------ - ----------------------------- + -----------------------------| + ----------------------------- + ----------------------------- 9 \ 9 3 9 / 3 9
____________________ / _________ / 27 I*\/ 8118615 3 / -- + ------------- 88 \/ 2 18 x3 = 3 - --------------------------- - ------------------------- ____________________ 3 / _________ / 27 I*\/ 8118615 9*3 / -- + ------------- \/ 2 18
x3 = 3 - (27/2 + sqrt(8118615)*i/18)^(1/3)/3 - 88/(9*(27/2 + sqrt(8118615)*i/18)^(1/3))
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \ 88*re|-----------------------------------------| | 88*im|-----------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\ 88*re|-----------------------------------------| | 88*im|-----------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\ | ____________________| | | ____________________| | |\/ 8118615 || | |\/ 8118615 ||| | |\/ 8118615 || | |\/ 8118615 || | ____________________| | | ____________________| | |\/ 8118615 || | |\/ 8118615 ||| | |\/ 8118615 || | |\/ 8118615 || ____________________ |/ ___\ / _________ | | |/ ___\ / _________ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------|| |/ ___\ / _________ | | |/ ___\ / _________ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------|| / _________ || 1 I*\/ 3 | / 27 I*\/ 8118615 | | || 1 I*\/ 3 | / 27 I*\/ 8118615 | ____ | \ 243 /| ____ | \ 243 /|| ____ | \ 243 /| ____ | \ 243 /| || 1 I*\/ 3 | / 27 I*\/ 8118615 | | || 1 I*\/ 3 | / 27 I*\/ 8118615 | ____ | \ 243 /| ____ | \ 243 /|| ____ | \ 243 /| ____ | \ 243 /| / 27 I*\/ 8118615 ||- - - -------|*3 / -- + ------------- | | ||- - - -------|*3 / -- + ------------- | \/ 22 *cos|-----------------| \/ 66 *sin|-----------------|| \/ 22 *sin|-----------------| \/ 66 *cos|-----------------| ||- - + -------|*3 / -- + ------------- | | ||- - + -------|*3 / -- + ------------- | \/ 22 *cos|-----------------| \/ 66 *sin|-----------------|| \/ 22 *sin|-----------------| \/ 66 *cos|-----------------| 3 / -- + ------------- \\ 2 2 / \/ 2 18 / | \\ 2 2 / \/ 2 18 / \ 3 / \ 3 /| \ 3 / \ 3 / \\ 2 2 / \/ 2 18 / | \\ 2 2 / \/ 2 18 / \ 3 / \ 3 /| \ 3 / \ 3 / 88 \/ 2 18 3 - ------------------------------------------------ + I*|- ------------------------------------------------ + ----------------------------- + -----------------------------| - ----------------------------- + ----------------------------- + 3 - ------------------------------------------------ + I*|- ------------------------------------------------ - ----------------------------- + -----------------------------| + ----------------------------- + ----------------------------- + 3 - --------------------------- - ------------------------- 9 \ 9 3 9 / 3 9 9 \ 9 3 9 / 3 9 ____________________ 3 / _________ / 27 I*\/ 8118615 9*3 / -- + ------------- \/ 2 18
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \ 88*re|-----------------------------------------| 88*re|-----------------------------------------| | 88*im|-----------------------------------------| / / _________\\ / / _________\\| | 88*im|-----------------------------------------| / / _________\\ / / _________\\| / / _________\\ | ____________________| | ____________________| ____________________ | | ____________________| | |\/ 8118615 || | |\/ 8118615 ||| | | ____________________| | |\/ 8118615 || | |\/ 8118615 ||| | |\/ 8118615 || |/ ___\ / _________ | |/ ___\ / _________ | / _________ | |/ ___\ / _________ | |atan|-----------|| |atan|-----------||| | |/ ___\ / _________ | |atan|-----------|| |atan|-----------||| |atan|-----------|| || 1 I*\/ 3 | / 27 I*\/ 8118615 | || 1 I*\/ 3 | / 27 I*\/ 8118615 | / 27 I*\/ 8118615 | || 1 I*\/ 3 | / 27 I*\/ 8118615 | ____ | \ 243 /| ____ | \ 243 /|| | || 1 I*\/ 3 | / 27 I*\/ 8118615 | ____ | \ 243 /| ____ | \ 243 /|| ____ | \ 243 /| ||- - + -------|*3 / -- + ------------- | ||- - - -------|*3 / -- + ------------- | 3 / -- + ------------- | ||- - + -------|*3 / -- + ------------- | \/ 22 *cos|-----------------| \/ 66 *sin|-----------------|| | ||- - - -------|*3 / -- + ------------- | \/ 22 *cos|-----------------| \/ 66 *sin|-----------------|| 2*\/ 66 *cos|-----------------| 88 \\ 2 2 / \/ 2 18 / \\ 2 2 / \/ 2 18 / \/ 2 18 | \\ 2 2 / \/ 2 18 / \ 3 / \ 3 /| | \\ 2 2 / \/ 2 18 / \ 3 / \ 3 /| \ 3 / 9 - --------------------------- - ------------------------------------------------ - ------------------------------------------------ - ------------------------- + I*|- ------------------------------------------------ - ----------------------------- + -----------------------------| + I*|- ------------------------------------------------ + ----------------------------- + -----------------------------| + ------------------------------- ____________________ 9 9 3 \ 9 3 9 / \ 9 3 9 / 9 / _________ / 27 I*\/ 8118615 9*3 / -- + ------------- \/ 2 18
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \ | 88*re|-----------------------------------------| | 88*im|-----------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\| | 88*re|-----------------------------------------| | 88*im|-----------------------------------------| / / _________\\ / / _________\\| / / _________\\ / / _________\\| | | ____________________| | | ____________________| | |\/ 8118615 || | |\/ 8118615 ||| | |\/ 8118615 || | |\/ 8118615 ||| | | ____________________| | | ____________________| | |\/ 8118615 || | |\/ 8118615 ||| | |\/ 8118615 || | |\/ 8118615 ||| / ____________________\ | |/ ___\ / _________ | | |/ ___\ / _________ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------||| | |/ ___\ / _________ | | |/ ___\ / _________ | |atan|-----------|| |atan|-----------||| |atan|-----------|| |atan|-----------||| | / _________ | | || 1 I*\/ 3 | / 27 I*\/ 8118615 | | || 1 I*\/ 3 | / 27 I*\/ 8118615 | ____ | \ 243 /| ____ | \ 243 /|| ____ | \ 243 /| ____ | \ 243 /|| | || 1 I*\/ 3 | / 27 I*\/ 8118615 | | || 1 I*\/ 3 | / 27 I*\/ 8118615 | ____ | \ 243 /| ____ | \ 243 /|| ____ | \ 243 /| ____ | \ 243 /|| | / 27 I*\/ 8118615 | | ||- - - -------|*3 / -- + ------------- | | ||- - - -------|*3 / -- + ------------- | \/ 22 *cos|-----------------| \/ 66 *sin|-----------------|| \/ 22 *sin|-----------------| \/ 66 *cos|-----------------|| | ||- - + -------|*3 / -- + ------------- | | ||- - + -------|*3 / -- + ------------- | \/ 22 *cos|-----------------| \/ 66 *sin|-----------------|| \/ 22 *sin|-----------------| \/ 66 *cos|-----------------|| | 3 / -- + ------------- | | \\ 2 2 / \/ 2 18 / | \\ 2 2 / \/ 2 18 / \ 3 / \ 3 /| \ 3 / \ 3 /| | \\ 2 2 / \/ 2 18 / | \\ 2 2 / \/ 2 18 / \ 3 / \ 3 /| \ 3 / \ 3 /| | 88 \/ 2 18 | |3 - ------------------------------------------------ + I*|- ------------------------------------------------ + ----------------------------- + -----------------------------| - ----------------------------- + -----------------------------|*|3 - ------------------------------------------------ + I*|- ------------------------------------------------ - ----------------------------- + -----------------------------| + ----------------------------- + -----------------------------|*|3 - --------------------------- - -------------------------| \ 9 \ 9 3 9 / 3 9 / \ 9 \ 9 3 9 / 3 9 / | ____________________ 3 | | / _________ | | / 27 I*\/ 8118615 | | 9*3 / -- + ------------- | \ \/ 2 18 /
=
/ / / _________\\ / / _________\\\ | | |\/ 8118615 || | |\/ 8118615 ||| / _____________________ / _________________________\\ | |2*atan|-----------|| |atan|-----------||| | 3 ____ 3 / _________ | 3 / _________ || | | \ 243 /| ____ | \ 243 /|| -\176*\/ 18 - \/ 243 + I*\/ 8118615 *\54 - \/ 2916 + 12*I*\/ 8118615 //*|465 + 528*cos|-------------------| + 108*\/ 66 *cos|-----------------|| \ \ 3 / \ 3 // ------------------------------------------------------------------------------------------------------------------------------------------------------ _____________________ 3 / _________ 1458*\/ 243 + I*\/ 8118615
-(176*18^(1/3) - (243 + i*sqrt(8118615))^(1/3)*(54 - (2916 + 12*i*sqrt(8118615))^(1/3)))*(465 + 528*cos(2*atan(sqrt(8118615)/243)/3) + 108*sqrt(66)*cos(atan(sqrt(8118615)/243)/3))/(1458*(243 + i*sqrt(8118615))^(1/3))
x1 = 3.10238248543886 + 0.e-22*i
x2 = 6.07449526551909 - 0.e-22*i
x3 = -0.17687775095795 + 0.e-22*i
x3 = -0.17687775095795 + 0.e-22*i