El profesor se sorprenderá mucho al ver tu solución correcta😉
/ 3\ / 2\ |173*(x - 1) | |173*(x - 2) | 2 |------------| |------------| 299 173*x 173*(x - 1) \ 10 / \ 10 / --- - ----- + ------------ - -------------- + -------------- = 0 10 5 10 6 2
/ / ________\\ / / / ________\\ / / ________\\\ / / ________\\ | |\/ 352907 || | | |\/ 352907 || | |\/ 352907 ||| | |\/ 352907 || |atan|----------|| | |atan|----------|| |atan|----------||| |atan|----------|| | \ 79 /| | | \ 79 /| ___ | \ 79 /|| ___ | \ 79 /| 3*sin|----------------| | 3*cos|----------------| \/ 3 *sin|----------------|| \/ 3 *cos|----------------| / 1 \ \ 3 / | / 1 \ \ 3 / \ 3 /| \ 3 / x1 = 4 + 3*re|-------------------------------------------| + ----------------------- + I*|3*im|-------------------------------------------| - ----------------------- - ---------------------------| - --------------------------- | ______________________| 2 | | ______________________| 2 2 | 2 |/ ___\ / ________ | | |/ ___\ / ________ | | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | ||- - - -------|*3 / --- + -------------- | | ||- - - -------|*3 / --- + -------------- | | \\ 2 2 / \/ 346 346 / \ \\ 2 2 / \/ 346 346 / /
/ / ________\\ / / / ________\\ / / ________\\\ / / ________\\ | |\/ 352907 || | | |\/ 352907 || | |\/ 352907 ||| | |\/ 352907 || |atan|----------|| | |atan|----------|| |atan|----------||| |atan|----------|| | \ 79 /| | | \ 79 /| ___ | \ 79 /|| ___ | \ 79 /| 3*sin|----------------| | 3*cos|----------------| \/ 3 *sin|----------------|| \/ 3 *cos|----------------| / 1 \ \ 3 / | / 1 \ \ 3 / \ 3 /| \ 3 / x2 = 4 + 3*re|-------------------------------------------| - ----------------------- + I*|3*im|-------------------------------------------| + ----------------------- - ---------------------------| - --------------------------- | ______________________| 2 | | ______________________| 2 2 | 2 |/ ___\ / ________ | | |/ ___\ / ________ | | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | ||- - + -------|*3 / --- + -------------- | | ||- - + -------|*3 / --- + -------------- | | \\ 2 2 / \/ 346 346 / \ \\ 2 2 / \/ 346 346 / /
______________________ / ________ / 237 3*I*\/ 352907 3 x3 = 4 + 3 / --- + -------------- + --------------------------- \/ 346 346 ______________________ / ________ / 237 3*I*\/ 352907 3 / --- + -------------- \/ 346 346
x3 = 4 + 3/(237/346 + 3*sqrt(352907)*i/346)^(1/3) + (237/346 + 3*sqrt(352907)*i/346)^(1/3)
suma
/ / ________\\ / / / ________\\ / / ________\\\ / / ________\\ / / ________\\ / / / ________\\ / / ________\\\ / / ________\\ | |\/ 352907 || | | |\/ 352907 || | |\/ 352907 ||| | |\/ 352907 || | |\/ 352907 || | | |\/ 352907 || | |\/ 352907 ||| | |\/ 352907 || |atan|----------|| | |atan|----------|| |atan|----------||| |atan|----------|| |atan|----------|| | |atan|----------|| |atan|----------||| |atan|----------|| | \ 79 /| | | \ 79 /| ___ | \ 79 /|| ___ | \ 79 /| | \ 79 /| | | \ 79 /| ___ | \ 79 /|| ___ | \ 79 /| ______________________ 3*sin|----------------| | 3*cos|----------------| \/ 3 *sin|----------------|| \/ 3 *cos|----------------| 3*sin|----------------| | 3*cos|----------------| \/ 3 *sin|----------------|| \/ 3 *cos|----------------| / ________ / 1 \ \ 3 / | / 1 \ \ 3 / \ 3 /| \ 3 / / 1 \ \ 3 / | / 1 \ \ 3 / \ 3 /| \ 3 / / 237 3*I*\/ 352907 3 4 + 3*re|-------------------------------------------| + ----------------------- + I*|3*im|-------------------------------------------| - ----------------------- - ---------------------------| - --------------------------- + 4 + 3*re|-------------------------------------------| - ----------------------- + I*|3*im|-------------------------------------------| + ----------------------- - ---------------------------| - --------------------------- + 4 + 3 / --- + -------------- + --------------------------- | ______________________| 2 | | ______________________| 2 2 | 2 | ______________________| 2 | | ______________________| 2 2 | 2 \/ 346 346 ______________________ |/ ___\ / ________ | | |/ ___\ / ________ | | |/ ___\ / ________ | | |/ ___\ / ________ | | / ________ || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | / 237 3*I*\/ 352907 ||- - - -------|*3 / --- + -------------- | | ||- - - -------|*3 / --- + -------------- | | ||- - + -------|*3 / --- + -------------- | | ||- - + -------|*3 / --- + -------------- | | 3 / --- + -------------- \\ 2 2 / \/ 346 346 / \ \\ 2 2 / \/ 346 346 / / \\ 2 2 / \/ 346 346 / \ \\ 2 2 / \/ 346 346 / / \/ 346 346
=
/ / / ________\\ / / ________\\\ / / / ________\\ / / ________\\\ | | |\/ 352907 || | |\/ 352907 ||| | | |\/ 352907 || | |\/ 352907 ||| | |atan|----------|| |atan|----------||| | |atan|----------|| |atan|----------||| / / ________\\ ______________________ | | \ 79 /| ___ | \ 79 /|| | | \ 79 /| ___ | \ 79 /|| | |\/ 352907 || / ________ | 3*cos|----------------| \/ 3 *sin|----------------|| | 3*cos|----------------| \/ 3 *sin|----------------|| |atan|----------|| / 237 3*I*\/ 352907 3 / 1 \ / 1 \ | / 1 \ \ 3 / \ 3 /| | / 1 \ \ 3 / \ 3 /| ___ | \ 79 /| 12 + 3 / --- + -------------- + --------------------------- + 3*re|-------------------------------------------| + 3*re|-------------------------------------------| + I*|3*im|-------------------------------------------| + ----------------------- - ---------------------------| + I*|3*im|-------------------------------------------| - ----------------------- - ---------------------------| - \/ 3 *cos|----------------| \/ 346 346 ______________________ | ______________________| | ______________________| | | ______________________| 2 2 | | | ______________________| 2 2 | \ 3 / / ________ |/ ___\ / ________ | |/ ___\ / ________ | | |/ ___\ / ________ | | | |/ ___\ / ________ | | / 237 3*I*\/ 352907 || 1 I*\/ 3 | / 237 3*I*\/ 352907 | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | 3 / --- + -------------- ||- - + -------|*3 / --- + -------------- | ||- - - -------|*3 / --- + -------------- | | ||- - + -------|*3 / --- + -------------- | | | ||- - - -------|*3 / --- + -------------- | | \/ 346 346 \\ 2 2 / \/ 346 346 / \\ 2 2 / \/ 346 346 / \ \\ 2 2 / \/ 346 346 / / \ \\ 2 2 / \/ 346 346 / /
producto
/ / / ________\\ / / / ________\\ / / ________\\\ / / ________\\\ / / / ________\\ / / / ________\\ / / ________\\\ / / ________\\\ | | |\/ 352907 || | | |\/ 352907 || | |\/ 352907 ||| | |\/ 352907 ||| | | |\/ 352907 || | | |\/ 352907 || | |\/ 352907 ||| | |\/ 352907 ||| | |atan|----------|| | |atan|----------|| |atan|----------||| |atan|----------||| | |atan|----------|| | |atan|----------|| |atan|----------||| |atan|----------||| | | \ 79 /| | | \ 79 /| ___ | \ 79 /|| ___ | \ 79 /|| | | \ 79 /| | | \ 79 /| ___ | \ 79 /|| ___ | \ 79 /|| / ______________________ \ | 3*sin|----------------| | 3*cos|----------------| \/ 3 *sin|----------------|| \/ 3 *cos|----------------|| | 3*sin|----------------| | 3*cos|----------------| \/ 3 *sin|----------------|| \/ 3 *cos|----------------|| | / ________ | | / 1 \ \ 3 / | / 1 \ \ 3 / \ 3 /| \ 3 /| | / 1 \ \ 3 / | / 1 \ \ 3 / \ 3 /| \ 3 /| | / 237 3*I*\/ 352907 3 | |4 + 3*re|-------------------------------------------| + ----------------------- + I*|3*im|-------------------------------------------| - ----------------------- - ---------------------------| - ---------------------------|*|4 + 3*re|-------------------------------------------| - ----------------------- + I*|3*im|-------------------------------------------| + ----------------------- - ---------------------------| - ---------------------------|*|4 + 3 / --- + -------------- + ---------------------------| | | ______________________| 2 | | ______________________| 2 2 | 2 | | | ______________________| 2 | | ______________________| 2 2 | 2 | | \/ 346 346 ______________________| | |/ ___\ / ________ | | |/ ___\ / ________ | | | | |/ ___\ / ________ | | |/ ___\ / ________ | | | | / ________ | | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | | | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | || 1 I*\/ 3 | / 237 3*I*\/ 352907 | | | | / 237 3*I*\/ 352907 | | ||- - - -------|*3 / --- + -------------- | | ||- - - -------|*3 / --- + -------------- | | | | ||- - + -------|*3 / --- + -------------- | | ||- - + -------|*3 / --- + -------------- | | | | 3 / --- + -------------- | \ \\ 2 2 / \/ 346 346 / \ \\ 2 2 / \/ 346 346 / / / \ \\ 2 2 / \/ 346 346 / \ \\ 2 2 / \/ 346 346 / / / \ \/ 346 346 /
=
/ / / ________\\ / / ________\\\ | | |\/ 352907 || | |\/ 352907 ||| / ______________________ / ______________________\\ | |2*atan|----------|| |atan|----------||| 2/3 | 3 _____ 3 / ________ | 2/3 3 / ________ || | | \ 79 /| ___ | \ 79 /|| 3 *\1038*\/ 346 + \/ 237 + 3*I*\/ 352907 *\1384 + 346 *\/ 237 + 3*I*\/ 352907 //*|52 + 24*cos|------------------| - 32*\/ 3 *cos|----------------|| \ \ 3 / \ 3 // ------------------------------------------------------------------------------------------------------------------------------------------------------------ ___________________ 3 / ________ 4152*\/ 79 + I*\/ 352907
3^(2/3)*(1038*346^(1/3) + (237 + 3*i*sqrt(352907))^(1/3)*(1384 + 346^(2/3)*(237 + 3*i*sqrt(352907))^(1/3)))*(52 + 24*cos(2*atan(sqrt(352907)/79)/3) - 32*sqrt(3)*cos(atan(sqrt(352907)/79)/3))/(4152*(79 + i*sqrt(352907))^(1/3))
x1 = 3.84738927719348
x2 = 1.07921802943188
x3 = 7.07339269337465
x3 = 7.07339269337465