El profesor se sorprenderá mucho al ver tu solución correcta😉
1 1 -------- - - - 2 - 6 = 0 2 x (x - 2)
/ 1 \ / / 1 \ \ 313*re|--------------------------------------------| | 313*im|--------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\ | _______________________| | | _______________________| | |12*\/ 112827 || | |12*\/ 112827 ||| | |12*\/ 112827 || | |12*\/ 112827 || |/ ___\ / ________ | | |/ ___\ / ________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------|| || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | | || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | _____ | \ 3797 /| _____ | \ 3797 /|| _____ | \ 3797 /| _____ | \ 3797 /| ||- - - -------|*3 / ---- + -------------- | | ||- - - -------|*3 / ---- + -------------- | \/ 313 *sin|-------------------| \/ 939 *cos|-------------------|| \/ 939 *sin|-------------------| \/ 313 *cos|-------------------| 31 \\ 2 2 / \/ 512 128 / | \\ 2 2 / \/ 512 128 / \ 3 / \ 3 /| \ 3 / \ 3 / x1 = -- - ---------------------------------------------------- + I*|- ---------------------------------------------------- + -------------------------------- + --------------------------------| - -------------------------------- + -------------------------------- 24 192 \ 192 48 48 / 48 48
/ 1 \ / / 1 \ \ 313*re|--------------------------------------------| | 313*im|--------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\ | _______________________| | | _______________________| | |12*\/ 112827 || | |12*\/ 112827 ||| | |12*\/ 112827 || | |12*\/ 112827 || |/ ___\ / ________ | | |/ ___\ / ________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------|| || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | | || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | _____ | \ 3797 /| _____ | \ 3797 /|| _____ | \ 3797 /| _____ | \ 3797 /| ||- - + -------|*3 / ---- + -------------- | | ||- - + -------|*3 / ---- + -------------- | \/ 939 *cos|-------------------| \/ 313 *sin|-------------------|| \/ 313 *cos|-------------------| \/ 939 *sin|-------------------| 31 \\ 2 2 / \/ 512 128 / | \\ 2 2 / \/ 512 128 / \ 3 / \ 3 /| \ 3 / \ 3 / x2 = -- - ---------------------------------------------------- + I*|- ---------------------------------------------------- - -------------------------------- + --------------------------------| + -------------------------------- + -------------------------------- 24 192 \ 192 48 48 / 48 48
_______________________ / ________ / 3797 3*I*\/ 112827 3 / ---- + -------------- 31 313 \/ 512 128 x3 = -- - -------------------------------- - ---------------------------- 24 _______________________ 3 / ________ / 3797 3*I*\/ 112827 192*3 / ---- + -------------- \/ 512 128
x3 = 31/24 - (3797/512 + 3*sqrt(112827)*i/128)^(1/3)/3 - 313/(192*(3797/512 + 3*sqrt(112827)*i/128)^(1/3))
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \ 313*re|--------------------------------------------| | 313*im|--------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\ 313*re|--------------------------------------------| | 313*im|--------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\ | _______________________| | | _______________________| | |12*\/ 112827 || | |12*\/ 112827 ||| | |12*\/ 112827 || | |12*\/ 112827 || | _______________________| | | _______________________| | |12*\/ 112827 || | |12*\/ 112827 ||| | |12*\/ 112827 || | |12*\/ 112827 || _______________________ |/ ___\ / ________ | | |/ ___\ / ________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------|| |/ ___\ / ________ | | |/ ___\ / ________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------|| / ________ || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | | || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | _____ | \ 3797 /| _____ | \ 3797 /|| _____ | \ 3797 /| _____ | \ 3797 /| || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | | || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | _____ | \ 3797 /| _____ | \ 3797 /|| _____ | \ 3797 /| _____ | \ 3797 /| / 3797 3*I*\/ 112827 ||- - - -------|*3 / ---- + -------------- | | ||- - - -------|*3 / ---- + -------------- | \/ 313 *sin|-------------------| \/ 939 *cos|-------------------|| \/ 939 *sin|-------------------| \/ 313 *cos|-------------------| ||- - + -------|*3 / ---- + -------------- | | ||- - + -------|*3 / ---- + -------------- | \/ 939 *cos|-------------------| \/ 313 *sin|-------------------|| \/ 313 *cos|-------------------| \/ 939 *sin|-------------------| 3 / ---- + -------------- 31 \\ 2 2 / \/ 512 128 / | \\ 2 2 / \/ 512 128 / \ 3 / \ 3 /| \ 3 / \ 3 / 31 \\ 2 2 / \/ 512 128 / | \\ 2 2 / \/ 512 128 / \ 3 / \ 3 /| \ 3 / \ 3 / 31 313 \/ 512 128 -- - ---------------------------------------------------- + I*|- ---------------------------------------------------- + -------------------------------- + --------------------------------| - -------------------------------- + -------------------------------- + -- - ---------------------------------------------------- + I*|- ---------------------------------------------------- - -------------------------------- + --------------------------------| + -------------------------------- + -------------------------------- + -- - -------------------------------- - ---------------------------- 24 192 \ 192 48 48 / 48 48 24 192 \ 192 48 48 / 48 48 24 _______________________ 3 / ________ / 3797 3*I*\/ 112827 192*3 / ---- + -------------- \/ 512 128
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \ 313*re|--------------------------------------------| 313*re|--------------------------------------------| | 313*im|--------------------------------------------| / / ________\\ / / ________\\| | 313*im|--------------------------------------------| / / ________\\ / / ________\\| / / ________\\ | _______________________| | _______________________| _______________________ | | _______________________| | |12*\/ 112827 || | |12*\/ 112827 ||| | | _______________________| | |12*\/ 112827 || | |12*\/ 112827 ||| | |12*\/ 112827 || |/ ___\ / ________ | |/ ___\ / ________ | / ________ | |/ ___\ / ________ | |atan|-------------|| |atan|-------------||| | |/ ___\ / ________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | / 3797 3*I*\/ 112827 | || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | _____ | \ 3797 /| _____ | \ 3797 /|| | || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | _____ | \ 3797 /| _____ | \ 3797 /|| _____ | \ 3797 /| ||- - + -------|*3 / ---- + -------------- | ||- - - -------|*3 / ---- + -------------- | 3 / ---- + -------------- | ||- - + -------|*3 / ---- + -------------- | \/ 939 *cos|-------------------| \/ 313 *sin|-------------------|| | ||- - - -------|*3 / ---- + -------------- | \/ 313 *sin|-------------------| \/ 939 *cos|-------------------|| \/ 313 *cos|-------------------| 31 313 \\ 2 2 / \/ 512 128 / \\ 2 2 / \/ 512 128 / \/ 512 128 | \\ 2 2 / \/ 512 128 / \ 3 / \ 3 /| | \\ 2 2 / \/ 512 128 / \ 3 / \ 3 /| \ 3 / -- - -------------------------------- - ---------------------------------------------------- - ---------------------------------------------------- - ---------------------------- + I*|- ---------------------------------------------------- - -------------------------------- + --------------------------------| + I*|- ---------------------------------------------------- + -------------------------------- + --------------------------------| + -------------------------------- 8 _______________________ 192 192 3 \ 192 48 48 / \ 192 48 48 / 24 / ________ / 3797 3*I*\/ 112827 192*3 / ---- + -------------- \/ 512 128
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \ | 313*re|--------------------------------------------| | 313*im|--------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\| | 313*re|--------------------------------------------| | 313*im|--------------------------------------------| / / ________\\ / / ________\\| / / ________\\ / / ________\\| | | _______________________| | | _______________________| | |12*\/ 112827 || | |12*\/ 112827 ||| | |12*\/ 112827 || | |12*\/ 112827 ||| | | _______________________| | | _______________________| | |12*\/ 112827 || | |12*\/ 112827 ||| | |12*\/ 112827 || | |12*\/ 112827 ||| / _______________________\ | |/ ___\ / ________ | | |/ ___\ / ________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||| | |/ ___\ / ________ | | |/ ___\ / ________ | |atan|-------------|| |atan|-------------||| |atan|-------------|| |atan|-------------||| | / ________ | | || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | | || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | _____ | \ 3797 /| _____ | \ 3797 /|| _____ | \ 3797 /| _____ | \ 3797 /|| | || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | | || 1 I*\/ 3 | / 3797 3*I*\/ 112827 | _____ | \ 3797 /| _____ | \ 3797 /|| _____ | \ 3797 /| _____ | \ 3797 /|| | / 3797 3*I*\/ 112827 | | ||- - - -------|*3 / ---- + -------------- | | ||- - - -------|*3 / ---- + -------------- | \/ 313 *sin|-------------------| \/ 939 *cos|-------------------|| \/ 939 *sin|-------------------| \/ 313 *cos|-------------------|| | ||- - + -------|*3 / ---- + -------------- | | ||- - + -------|*3 / ---- + -------------- | \/ 939 *cos|-------------------| \/ 313 *sin|-------------------|| \/ 313 *cos|-------------------| \/ 939 *sin|-------------------|| | 3 / ---- + -------------- | |31 \\ 2 2 / \/ 512 128 / | \\ 2 2 / \/ 512 128 / \ 3 / \ 3 /| \ 3 / \ 3 /| |31 \\ 2 2 / \/ 512 128 / | \\ 2 2 / \/ 512 128 / \ 3 / \ 3 /| \ 3 / \ 3 /| |31 313 \/ 512 128 | |-- - ---------------------------------------------------- + I*|- ---------------------------------------------------- + -------------------------------- + --------------------------------| - -------------------------------- + --------------------------------|*|-- - ---------------------------------------------------- + I*|- ---------------------------------------------------- - -------------------------------- + --------------------------------| + -------------------------------- + --------------------------------|*|-- - -------------------------------- - ----------------------------| \24 192 \ 192 48 48 / 48 48 / \24 192 \ 192 48 48 / 48 48 / |24 _______________________ 3 | | / ________ | | / 3797 3*I*\/ 112827 | | 192*3 / ---- + -------------- | \ \/ 512 128 /
=
/ / / ________\\ / / ________\\\ | | |12*\/ 112827 || | |12*\/ 112827 ||| / ________________________ / ________________________\\ | |2*atan|-------------|| |atan|-------------||| | 3 / ________ | 3 / ________ || | | \ 3797 /| _____ | \ 3797 /|| -\313 - \/ 3797 + 12*I*\/ 112827 *\31 - \/ 3797 + 12*I*\/ 112827 //*|648 + 626*cos|---------------------| + 62*\/ 313 *cos|-------------------|| \ \ 3 / \ 3 // ----------------------------------------------------------------------------------------------------------------------------------------------------- ________________________ 3 / ________ 13824*\/ 3797 + 12*I*\/ 112827
-(313 - (3797 + 12*i*sqrt(112827))^(1/3)*(31 - (3797 + 12*i*sqrt(112827))^(1/3)))*(648 + 626*cos(2*atan(12*sqrt(112827)/3797)/3) + 62*sqrt(313)*cos(atan(12*sqrt(112827)/3797)/3))/(13824*(3797 + 12*i*sqrt(112827))^(1/3))
x1 = 1.65905737491939 + 0.e-20*i
x2 = 2.34448915873198 - 0.e-23*i
x3 = -0.128546533651372 + 0.e-21*i
x3 = -0.128546533651372 + 0.e-21*i