El profesor se sorprenderá mucho al ver tu solución correcta😉
2 2 / 2 \ / 2 \ 2 3*(x - 1)*\x - 3*x + 1/ + \x - 3*x + 1/ = 4*(x - 1)
x1 = 2
___________________________________________________________________________________________________________________________________ / ________________ / / _____ / 10 / 683 \/ 831 23 152 / -- - 2*3 / ---- + ------- + ------------------------- + ---------------------------------------------------------------------- _________________________________________________________ / 3 \/ 5832 243 ________________ _________________________________________________________ / ________________ / / _____ / ________________ / / _____ / / 683 \/ 831 / / _____ / 5 / 683 \/ 831 23 / 162*3 / ---- + ------- / 5 / 683 \/ 831 23 / - + 2*3 / ---- + ------- - ------------------------- / \/ 5832 243 27* / - + 2*3 / ---- + ------- - ------------------------- / 3 \/ 5832 243 ________________ / / 3 \/ 5832 243 ________________ / / _____ / / / _____ / / 683 \/ 831 / / / 683 \/ 831 / 162*3 / ---- + ------- / / 162*3 / ---- + ------- 7 \/ \/ 5832 243 \/ \/ \/ 5832 243 x2 = - + ------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------- 6 2 2
___________________________________________________________________________________________________________________________________ / ________________ / / _____ / 10 / 683 \/ 831 23 152 / -- - 2*3 / ---- + ------- + ------------------------- + ---------------------------------------------------------------------- _________________________________________________________ / 3 \/ 5832 243 ________________ _________________________________________________________ / ________________ / / _____ / ________________ / / _____ / / 683 \/ 831 / / _____ / 5 / 683 \/ 831 23 / 162*3 / ---- + ------- / 5 / 683 \/ 831 23 / - + 2*3 / ---- + ------- - ------------------------- / \/ 5832 243 27* / - + 2*3 / ---- + ------- - ------------------------- / 3 \/ 5832 243 ________________ / / 3 \/ 5832 243 ________________ / / _____ / / / _____ / / 683 \/ 831 / / / 683 \/ 831 / 162*3 / ---- + ------- / / 162*3 / ---- + ------- 7 \/ \/ 5832 243 \/ \/ \/ 5832 243 x3 = - + ------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------- 6 2 2
_____________________________________________________________________________________________________________________________________ / ________________ / / _____ / 10 / 683 \/ 831 23 152 I* / - -- + 2*3 / ---- + ------- - ------------------------- + ---------------------------------------------------------------------- _________________________________________________________ / 3 \/ 5832 243 ________________ _________________________________________________________ / ________________ / / _____ / ________________ / / _____ / / 683 \/ 831 / / _____ / 5 / 683 \/ 831 23 / 162*3 / ---- + ------- / 5 / 683 \/ 831 23 / - + 2*3 / ---- + ------- - ------------------------- / \/ 5832 243 27* / - + 2*3 / ---- + ------- - ------------------------- / 3 \/ 5832 243 ________________ / / 3 \/ 5832 243 ________________ / / _____ / / / _____ / / 683 \/ 831 / / / 683 \/ 831 / 162*3 / ---- + ------- / / 162*3 / ---- + ------- 7 \/ \/ 5832 243 \/ \/ \/ 5832 243 x4 = - - ------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------ 6 2 2
_____________________________________________________________________________________________________________________________________ / ________________ / / _____ / 10 / 683 \/ 831 23 152 I* / - -- + 2*3 / ---- + ------- - ------------------------- + ---------------------------------------------------------------------- _________________________________________________________ / 3 \/ 5832 243 ________________ _________________________________________________________ / ________________ / / _____ / ________________ / / _____ / / 683 \/ 831 / / _____ / 5 / 683 \/ 831 23 / 162*3 / ---- + ------- / 5 / 683 \/ 831 23 / - + 2*3 / ---- + ------- - ------------------------- / \/ 5832 243 27* / - + 2*3 / ---- + ------- - ------------------------- / 3 \/ 5832 243 ________________ / / 3 \/ 5832 243 ________________ / / _____ / / / _____ / / 683 \/ 831 / / / 683 \/ 831 / 162*3 / ---- + ------- / / 162*3 / ---- + ------- 7 \/ \/ 5832 243 \/ \/ \/ 5832 243 x5 = - - ------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------ 6 2 2
x5 = -sqrt(-23/(162*(683/5832 + sqrt(831)/243)^(1/3)) + 2*(683/5832 + sqrt(831)/243)^(1/3) + 5/3)/2 + 7/6 + i*sqrt(-10/3 - 23/(162*(683/5832 + sqrt(831)/243)^(1/3)) + 2*(683/5832 + sqrt(831)/243)^(1/3) + 152/(27*sqrt(-23/(162*(683/5832 + sqrt(831)/243)^(1/3)) + 2*(683/5832 + sqrt(831)/243)^(1/3) + 5/3)))/2
suma
___________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________ / ________________ / ________________ / ________________ / ________________ / / _____ / / _____ / / _____ / / _____ / 10 / 683 \/ 831 23 152 / 10 / 683 \/ 831 23 152 / 10 / 683 \/ 831 23 152 / 10 / 683 \/ 831 23 152 / -- - 2*3 / ---- + ------- + ------------------------- + ---------------------------------------------------------------------- / -- - 2*3 / ---- + ------- + ------------------------- + ---------------------------------------------------------------------- I* / - -- + 2*3 / ---- + ------- - ------------------------- + ---------------------------------------------------------------------- I* / - -- + 2*3 / ---- + ------- - ------------------------- + ---------------------------------------------------------------------- _________________________________________________________ / 3 \/ 5832 243 ________________ _________________________________________________________ _________________________________________________________ / 3 \/ 5832 243 ________________ _________________________________________________________ _________________________________________________________ / 3 \/ 5832 243 ________________ _________________________________________________________ _________________________________________________________ / 3 \/ 5832 243 ________________ _________________________________________________________ / ________________ / / _____ / ________________ / ________________ / / _____ / ________________ / ________________ / / _____ / ________________ / ________________ / / _____ / ________________ / / _____ / / 683 \/ 831 / / _____ / / _____ / / 683 \/ 831 / / _____ / / _____ / / 683 \/ 831 / / _____ / / _____ / / 683 \/ 831 / / _____ / 5 / 683 \/ 831 23 / 162*3 / ---- + ------- / 5 / 683 \/ 831 23 / 5 / 683 \/ 831 23 / 162*3 / ---- + ------- / 5 / 683 \/ 831 23 / 5 / 683 \/ 831 23 / 162*3 / ---- + ------- / 5 / 683 \/ 831 23 / 5 / 683 \/ 831 23 / 162*3 / ---- + ------- / 5 / 683 \/ 831 23 / - + 2*3 / ---- + ------- - ------------------------- / \/ 5832 243 27* / - + 2*3 / ---- + ------- - ------------------------- / - + 2*3 / ---- + ------- - ------------------------- / \/ 5832 243 27* / - + 2*3 / ---- + ------- - ------------------------- / - + 2*3 / ---- + ------- - ------------------------- / \/ 5832 243 27* / - + 2*3 / ---- + ------- - ------------------------- / - + 2*3 / ---- + ------- - ------------------------- / \/ 5832 243 27* / - + 2*3 / ---- + ------- - ------------------------- / 3 \/ 5832 243 ________________ / / 3 \/ 5832 243 ________________ / 3 \/ 5832 243 ________________ / / 3 \/ 5832 243 ________________ / 3 \/ 5832 243 ________________ / / 3 \/ 5832 243 ________________ / 3 \/ 5832 243 ________________ / / 3 \/ 5832 243 ________________ / / _____ / / / _____ / / _____ / / / _____ / / _____ / / / _____ / / _____ / / / _____ / / 683 \/ 831 / / / 683 \/ 831 / / 683 \/ 831 / / / 683 \/ 831 / / 683 \/ 831 / / / 683 \/ 831 / / 683 \/ 831 / / / 683 \/ 831 / 162*3 / ---- + ------- / / 162*3 / ---- + ------- / 162*3 / ---- + ------- / / 162*3 / ---- + ------- / 162*3 / ---- + ------- / / 162*3 / ---- + ------- / 162*3 / ---- + ------- / / 162*3 / ---- + ------- 7 \/ \/ 5832 243 \/ \/ \/ 5832 243 7 \/ \/ 5832 243 \/ \/ \/ 5832 243 7 \/ \/ 5832 243 \/ \/ \/ 5832 243 7 \/ \/ 5832 243 \/ \/ \/ 5832 243 2 + - + ------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------- + - + ------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------- + - - ------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------ + - - ------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------ 6 2 2 6 2 2 6 2 2 6 2 2
=
20/3
producto
/ ___________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________\ | / ________________ | | / ________________ | | / ________________ | | / ________________ | | / / _____ | | / / _____ | | / / _____ | | / / _____ | | / 10 / 683 \/ 831 23 152 | | / 10 / 683 \/ 831 23 152 | | / 10 / 683 \/ 831 23 152 | | / 10 / 683 \/ 831 23 152 | | / -- - 2*3 / ---- + ------- + ------------------------- + ---------------------------------------------------------------------- | | / -- - 2*3 / ---- + ------- + ------------------------- + ---------------------------------------------------------------------- | | I* / - -- + 2*3 / ---- + ------- - ------------------------- + ---------------------------------------------------------------------- | | I* / - -- + 2*3 / ---- + ------- - ------------------------- + ---------------------------------------------------------------------- | | _________________________________________________________ / 3 \/ 5832 243 ________________ _________________________________________________________ | | _________________________________________________________ / 3 \/ 5832 243 ________________ _________________________________________________________ | | _________________________________________________________ / 3 \/ 5832 243 ________________ _________________________________________________________ | | _________________________________________________________ / 3 \/ 5832 243 ________________ _________________________________________________________ | | / ________________ / / _____ / ________________ | | / ________________ / / _____ / ________________ | | / ________________ / / _____ / ________________ | | / ________________ / / _____ / ________________ | | / / _____ / / 683 \/ 831 / / _____ | | / / _____ / / 683 \/ 831 / / _____ | | / / _____ / / 683 \/ 831 / / _____ | | / / _____ / / 683 \/ 831 / / _____ | | / 5 / 683 \/ 831 23 / 162*3 / ---- + ------- / 5 / 683 \/ 831 23 | | / 5 / 683 \/ 831 23 / 162*3 / ---- + ------- / 5 / 683 \/ 831 23 | | / 5 / 683 \/ 831 23 / 162*3 / ---- + ------- / 5 / 683 \/ 831 23 | | / 5 / 683 \/ 831 23 / 162*3 / ---- + ------- / 5 / 683 \/ 831 23 | | / - + 2*3 / ---- + ------- - ------------------------- / \/ 5832 243 27* / - + 2*3 / ---- + ------- - ------------------------- | | / - + 2*3 / ---- + ------- - ------------------------- / \/ 5832 243 27* / - + 2*3 / ---- + ------- - ------------------------- | | / - + 2*3 / ---- + ------- - ------------------------- / \/ 5832 243 27* / - + 2*3 / ---- + ------- - ------------------------- | | / - + 2*3 / ---- + ------- - ------------------------- / \/ 5832 243 27* / - + 2*3 / ---- + ------- - ------------------------- | | / 3 \/ 5832 243 ________________ / / 3 \/ 5832 243 ________________ | | / 3 \/ 5832 243 ________________ / / 3 \/ 5832 243 ________________ | | / 3 \/ 5832 243 ________________ / / 3 \/ 5832 243 ________________ | | / 3 \/ 5832 243 ________________ / / 3 \/ 5832 243 ________________ | | / / _____ / / / _____ | | / / _____ / / / _____ | | / / _____ / / / _____ | | / / _____ / / / _____ | | / / 683 \/ 831 / / / 683 \/ 831 | | / / 683 \/ 831 / / / 683 \/ 831 | | / / 683 \/ 831 / / / 683 \/ 831 | | / / 683 \/ 831 / / / 683 \/ 831 | | / 162*3 / ---- + ------- / / 162*3 / ---- + ------- | | / 162*3 / ---- + ------- / / 162*3 / ---- + ------- | | / 162*3 / ---- + ------- / / 162*3 / ---- + ------- | | / 162*3 / ---- + ------- / / 162*3 / ---- + ------- | |7 \/ \/ 5832 243 \/ \/ \/ 5832 243 | |7 \/ \/ 5832 243 \/ \/ \/ 5832 243 | |7 \/ \/ 5832 243 \/ \/ \/ 5832 243 | |7 \/ \/ 5832 243 \/ \/ \/ 5832 243 | 2*|- + ------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------|*|- - ------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - ------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------| \6 2 2 / \6 2 2 / \6 2 2 / \6 2 2 /
=
2
2
x1 = 0.349302066204099 - 0.528230179337553*i
x2 = 2.0
x3 = 0.349302066204099 + 0.528230179337553*i
x4 = 3.18522123636154
x5 = 0.782841297896925
x5 = 0.782841297896925