El profesor se sorprenderá mucho al ver tu solución correcta😉
1 2 ----- = - x + 5*x - 1 x - 2
/ 1 \ / / 1 \ \ / / _____\\ 16*re|---------------------------------------| | / / _____\\ 16*im|---------------------------------------| / / _____\\| / / _____\\ | |3*\/ 111 || | __________________| | | |3*\/ 111 || | __________________| | |3*\/ 111 ||| | |3*\/ 111 || |atan|---------|| |/ ___\ / _____ | | |atan|---------|| |/ ___\ / _____ | |atan|---------||| |atan|---------|| | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | | | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | ___ | \ 5 /|| ___ | \ 5 /| 2*cos|---------------| ||- - - -------|*3 / -- + ----------- | | 2*sin|---------------| ||- - - -------|*3 / -- + ----------- | 2*\/ 3 *cos|---------------|| 2*\/ 3 *sin|---------------| 7 \ 3 / \\ 2 2 / \/ 27 9 / | \ 3 / \\ 2 2 / \/ 27 9 / \ 3 /| \ 3 / x1 = - - ---------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- - ----------------------------| + ---------------------------- 3 3 9 \ 3 9 3 / 3
/ 1 \ / / 1 \ \ / / _____\\ 16*re|---------------------------------------| | / / _____\\ 16*im|---------------------------------------| / / _____\\| / / _____\\ | |3*\/ 111 || | __________________| | | |3*\/ 111 || | __________________| | |3*\/ 111 ||| | |3*\/ 111 || |atan|---------|| |/ ___\ / _____ | | |atan|---------|| |/ ___\ / _____ | |atan|---------||| |atan|---------|| | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | | | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | ___ | \ 5 /|| ___ | \ 5 /| 2*cos|---------------| ||- - + -------|*3 / -- + ----------- | | 2*sin|---------------| ||- - + -------|*3 / -- + ----------- | 2*\/ 3 *cos|---------------|| 2*\/ 3 *sin|---------------| 7 \ 3 / \\ 2 2 / \/ 27 9 / | \ 3 / \\ 2 2 / \/ 27 9 / \ 3 /| \ 3 / x2 = - - ---------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- + ----------------------------| - ---------------------------- 3 3 9 \ 3 9 3 / 3
__________________ / _____ 7 / 10 2*I*\/ 111 16 x3 = - + 3 / -- + ----------- + ------------------------- 3 \/ 27 9 __________________ / _____ / 10 2*I*\/ 111 9*3 / -- + ----------- \/ 27 9
x3 = 7/3 + 16/(9*(10/27 + 2*sqrt(111)*i/9)^(1/3)) + (10/27 + 2*sqrt(111)*i/9)^(1/3)
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \ / / _____\\ 16*re|---------------------------------------| | / / _____\\ 16*im|---------------------------------------| / / _____\\| / / _____\\ / / _____\\ 16*re|---------------------------------------| | / / _____\\ 16*im|---------------------------------------| / / _____\\| / / _____\\ | |3*\/ 111 || | __________________| | | |3*\/ 111 || | __________________| | |3*\/ 111 ||| | |3*\/ 111 || | |3*\/ 111 || | __________________| | | |3*\/ 111 || | __________________| | |3*\/ 111 ||| | |3*\/ 111 || |atan|---------|| |/ ___\ / _____ | | |atan|---------|| |/ ___\ / _____ | |atan|---------||| |atan|---------|| |atan|---------|| |/ ___\ / _____ | | |atan|---------|| |/ ___\ / _____ | |atan|---------||| |atan|---------|| | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | | | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | ___ | \ 5 /|| ___ | \ 5 /| | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | | | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | ___ | \ 5 /|| ___ | \ 5 /| __________________ 2*cos|---------------| ||- - - -------|*3 / -- + ----------- | | 2*sin|---------------| ||- - - -------|*3 / -- + ----------- | 2*\/ 3 *cos|---------------|| 2*\/ 3 *sin|---------------| 2*cos|---------------| ||- - + -------|*3 / -- + ----------- | | 2*sin|---------------| ||- - + -------|*3 / -- + ----------- | 2*\/ 3 *cos|---------------|| 2*\/ 3 *sin|---------------| / _____ 7 \ 3 / \\ 2 2 / \/ 27 9 / | \ 3 / \\ 2 2 / \/ 27 9 / \ 3 /| \ 3 / 7 \ 3 / \\ 2 2 / \/ 27 9 / | \ 3 / \\ 2 2 / \/ 27 9 / \ 3 /| \ 3 / 7 / 10 2*I*\/ 111 16 - - ---------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- - ----------------------------| + ---------------------------- + - - ---------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- + ----------------------------| - ---------------------------- + - + 3 / -- + ----------- + ------------------------- 3 3 9 \ 3 9 3 / 3 3 3 9 \ 3 9 3 / 3 3 \/ 27 9 __________________ / _____ / 10 2*I*\/ 111 9*3 / -- + ----------- \/ 27 9
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \ / / _____\\ 16*re|---------------------------------------| 16*re|---------------------------------------| | / / _____\\ 16*im|---------------------------------------| / / _____\\| | / / _____\\ 16*im|---------------------------------------| / / _____\\| | |3*\/ 111 || | __________________| | __________________| | | |3*\/ 111 || | __________________| | |3*\/ 111 ||| | | |3*\/ 111 || | __________________| | |3*\/ 111 ||| |atan|---------|| |/ ___\ / _____ | |/ ___\ / _____ | | |atan|---------|| |/ ___\ / _____ | |atan|---------||| | |atan|---------|| |/ ___\ / _____ | |atan|---------||| __________________ | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | || 1 I*\/ 3 | / 10 2*I*\/ 111 | | | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | ___ | \ 5 /|| | | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | ___ | \ 5 /|| / _____ 4*cos|---------------| ||- - + -------|*3 / -- + ----------- | ||- - - -------|*3 / -- + ----------- | | 2*sin|---------------| ||- - + -------|*3 / -- + ----------- | 2*\/ 3 *cos|---------------|| | 2*sin|---------------| ||- - - -------|*3 / -- + ----------- | 2*\/ 3 *cos|---------------|| / 10 2*I*\/ 111 \ 3 / 16 \\ 2 2 / \/ 27 9 / \\ 2 2 / \/ 27 9 / | \ 3 / \\ 2 2 / \/ 27 9 / \ 3 /| | \ 3 / \\ 2 2 / \/ 27 9 / \ 3 /| 7 + 3 / -- + ----------- - ---------------------- + ------------------------- + ---------------------------------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- + ----------------------------| + I*|- ---------------------- + ---------------------------------------------- - ----------------------------| \/ 27 9 3 __________________ 9 9 \ 3 9 3 / \ 3 9 3 / / _____ / 10 2*I*\/ 111 9*3 / -- + ----------- \/ 27 9
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \ | / / _____\\ 16*re|---------------------------------------| | / / _____\\ 16*im|---------------------------------------| / / _____\\| / / _____\\| | / / _____\\ 16*re|---------------------------------------| | / / _____\\ 16*im|---------------------------------------| / / _____\\| / / _____\\| | | |3*\/ 111 || | __________________| | | |3*\/ 111 || | __________________| | |3*\/ 111 ||| | |3*\/ 111 ||| | | |3*\/ 111 || | __________________| | | |3*\/ 111 || | __________________| | |3*\/ 111 ||| | |3*\/ 111 ||| | |atan|---------|| |/ ___\ / _____ | | |atan|---------|| |/ ___\ / _____ | |atan|---------||| |atan|---------||| | |atan|---------|| |/ ___\ / _____ | | |atan|---------|| |/ ___\ / _____ | |atan|---------||| |atan|---------||| | | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | | | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | ___ | \ 5 /|| ___ | \ 5 /|| | | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | | | \ 5 /| || 1 I*\/ 3 | / 10 2*I*\/ 111 | ___ | \ 5 /|| ___ | \ 5 /|| / __________________ \ | 2*cos|---------------| ||- - - -------|*3 / -- + ----------- | | 2*sin|---------------| ||- - - -------|*3 / -- + ----------- | 2*\/ 3 *cos|---------------|| 2*\/ 3 *sin|---------------|| | 2*cos|---------------| ||- - + -------|*3 / -- + ----------- | | 2*sin|---------------| ||- - + -------|*3 / -- + ----------- | 2*\/ 3 *cos|---------------|| 2*\/ 3 *sin|---------------|| | / _____ | |7 \ 3 / \\ 2 2 / \/ 27 9 / | \ 3 / \\ 2 2 / \/ 27 9 / \ 3 /| \ 3 /| |7 \ 3 / \\ 2 2 / \/ 27 9 / | \ 3 / \\ 2 2 / \/ 27 9 / \ 3 /| \ 3 /| |7 / 10 2*I*\/ 111 16 | |- - ---------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- - ----------------------------| + ----------------------------|*|- - ---------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- + ----------------------------| - ----------------------------|*|- + 3 / -- + ----------- + -------------------------| \3 3 9 \ 3 9 3 / 3 / \3 3 9 \ 3 9 3 / 3 / |3 \/ 27 9 __________________| | / _____ | | / 10 2*I*\/ 111 | | 9*3 / -- + ----------- | \ \/ 27 9 /
=
/ / / _____\\ / / _____\\\ | | |3*\/ 111 || | |3*\/ 111 ||| / __________________ / __________________\\ | |atan|---------|| |2*atan|---------||| 2/3 | 3 / _____ | 3 / _____ || | | \ 5 /| | \ 5 /|| 2 *\16 + \/ 10 + 6*I*\/ 111 *\7 + \/ 10 + 6*I*\/ 111 //*|33 - 56*cos|---------------| + 32*cos|-----------------|| \ \ 3 / \ 3 // ------------------------------------------------------------------------------------------------------------------------ _________________ 3 / _____ 54*\/ 5 + 3*I*\/ 111
2^(2/3)*(16 + (10 + 6*i*sqrt(111))^(1/3)*(7 + (10 + 6*i*sqrt(111))^(1/3)))*(33 - 56*cos(atan(3*sqrt(111)/5)/3) + 32*cos(2*atan(3*sqrt(111)/5)/3))/(54*(5 + 3*i*sqrt(111))^(1/3))
x1 = 2.19393656647463 + 0.e-22*i
x2 = 0.0967880740884467 + 0.e-23*i
x3 = 4.70927535943692 - 0.e-21*i
x3 = 4.70927535943692 - 0.e-21*i