El profesor se sorprenderá mucho al ver tu solución correcta😉
2 x - 2 x - 1 x + 3 ------ - ----- - ----- = 0 2 x x + 2 x + 2
____________________________________________________________________________________________________________________________________ / _________________ / / _____ / 10 / 242 2*\/ 235 18 52 / - -- - 2*3 / --- + --------- + --------------------------------------------------------------------- + ------------------------ / 3 \/ 27 3 ___________________________________________________________ _________________ ___________________________________________________________ / / _________________ / _____ / _________________ / / / _____ / 242 2*\/ 235 / / _____ / / 5 / 242 2*\/ 235 52 9*3 / --- + --------- / 5 / 242 2*\/ 235 52 / / - - + 2*3 / --- + --------- - ------------------------ \/ 27 3 / - - + 2*3 / --- + --------- - ------------------------ / / 3 \/ 27 3 _________________ / 3 \/ 27 3 _________________ / / / _____ / / _____ / / / 242 2*\/ 235 / / 242 2*\/ 235 / / 9*3 / --- + --------- / 9*3 / --- + --------- 1 \/ \/ \/ 27 3 \/ \/ 27 3 x1 = - - + --------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------- 2 2 2
____________________________________________________________________________________________________________________________________ / _________________ / / _____ / 10 / 242 2*\/ 235 18 52 / - -- - 2*3 / --- + --------- + --------------------------------------------------------------------- + ------------------------ ___________________________________________________________ / 3 \/ 27 3 ___________________________________________________________ _________________ / _________________ / / _________________ / _____ / / _____ / / / _____ / 242 2*\/ 235 / 5 / 242 2*\/ 235 52 / / 5 / 242 2*\/ 235 52 9*3 / --- + --------- / - - + 2*3 / --- + --------- - ------------------------ / / - - + 2*3 / --- + --------- - ------------------------ \/ 27 3 / 3 \/ 27 3 _________________ / / 3 \/ 27 3 _________________ / / _____ / / / _____ / / 242 2*\/ 235 / / / 242 2*\/ 235 / 9*3 / --- + --------- / / 9*3 / --- + --------- 1 \/ \/ 27 3 \/ \/ \/ 27 3 x2 = - - - --------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
__________________________________________________________________________________________________________________________________ / _________________ / / _____ / 10 / 242 2*\/ 235 18 52 I* / -- + 2*3 / --- + --------- + --------------------------------------------------------------------- - ------------------------ ___________________________________________________________ / 3 \/ 27 3 ___________________________________________________________ _________________ / _________________ / / _________________ / _____ / / _____ / / / _____ / 242 2*\/ 235 / 5 / 242 2*\/ 235 52 / / 5 / 242 2*\/ 235 52 9*3 / --- + --------- / - - + 2*3 / --- + --------- - ------------------------ / / - - + 2*3 / --- + --------- - ------------------------ \/ 27 3 / 3 \/ 27 3 _________________ / / 3 \/ 27 3 _________________ / / _____ / / / _____ / / 242 2*\/ 235 / / / 242 2*\/ 235 / 9*3 / --- + --------- / / 9*3 / --- + --------- 1 \/ \/ 27 3 \/ \/ \/ 27 3 x3 = - - + --------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
__________________________________________________________________________________________________________________________________ / _________________ / / _____ / 10 / 242 2*\/ 235 18 52 I* / -- + 2*3 / --- + --------- + --------------------------------------------------------------------- - ------------------------ ___________________________________________________________ / 3 \/ 27 3 ___________________________________________________________ _________________ / _________________ / / _________________ / _____ / / _____ / / / _____ / 242 2*\/ 235 / 5 / 242 2*\/ 235 52 / / 5 / 242 2*\/ 235 52 9*3 / --- + --------- / - - + 2*3 / --- + --------- - ------------------------ / / - - + 2*3 / --- + --------- - ------------------------ \/ 27 3 / 3 \/ 27 3 _________________ / / 3 \/ 27 3 _________________ / / _____ / / / _____ / / 242 2*\/ 235 / / / 242 2*\/ 235 / 9*3 / --- + --------- / / 9*3 / --- + --------- 1 \/ \/ 27 3 \/ \/ \/ 27 3 x4 = - - + --------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
x4 = -1/2 + sqrt(-52/(9*(242/27 + 2*sqrt(235)/3)^(1/3)) - 5/3 + 2*(242/27 + 2*sqrt(235)/3)^(1/3))/2 + i*sqrt(-52/(9*(242/27 + 2*sqrt(235)/3)^(1/3)) + 10/3 + 2*(242/27 + 2*sqrt(235)/3)^(1/3) + 18/sqrt(-52/(9*(242/27 + 2*sqrt(235)/3)^(1/3)) - 5/3 + 2*(242/27 + 2*sqrt(235)/3)^(1/3)))/2
suma
____________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________ / _________________ / _________________ / _________________ / _________________ / / _____ / / _____ / / _____ / / _____ / 10 / 242 2*\/ 235 18 52 / 10 / 242 2*\/ 235 18 52 / 10 / 242 2*\/ 235 18 52 / 10 / 242 2*\/ 235 18 52 / - -- - 2*3 / --- + --------- + --------------------------------------------------------------------- + ------------------------ / - -- - 2*3 / --- + --------- + --------------------------------------------------------------------- + ------------------------ I* / -- + 2*3 / --- + --------- + --------------------------------------------------------------------- - ------------------------ I* / -- + 2*3 / --- + --------- + --------------------------------------------------------------------- - ------------------------ / 3 \/ 27 3 ___________________________________________________________ _________________ ___________________________________________________________ ___________________________________________________________ / 3 \/ 27 3 ___________________________________________________________ _________________ ___________________________________________________________ / 3 \/ 27 3 ___________________________________________________________ _________________ ___________________________________________________________ / 3 \/ 27 3 ___________________________________________________________ _________________ / / _________________ / _____ / _________________ / _________________ / / _________________ / _____ / _________________ / / _________________ / _____ / _________________ / / _________________ / _____ / / / _____ / 242 2*\/ 235 / / _____ / / _____ / / / _____ / 242 2*\/ 235 / / _____ / / / _____ / 242 2*\/ 235 / / _____ / / / _____ / 242 2*\/ 235 / / 5 / 242 2*\/ 235 52 9*3 / --- + --------- / 5 / 242 2*\/ 235 52 / 5 / 242 2*\/ 235 52 / / 5 / 242 2*\/ 235 52 9*3 / --- + --------- / 5 / 242 2*\/ 235 52 / / 5 / 242 2*\/ 235 52 9*3 / --- + --------- / 5 / 242 2*\/ 235 52 / / 5 / 242 2*\/ 235 52 9*3 / --- + --------- / / - - + 2*3 / --- + --------- - ------------------------ \/ 27 3 / - - + 2*3 / --- + --------- - ------------------------ / - - + 2*3 / --- + --------- - ------------------------ / / - - + 2*3 / --- + --------- - ------------------------ \/ 27 3 / - - + 2*3 / --- + --------- - ------------------------ / / - - + 2*3 / --- + --------- - ------------------------ \/ 27 3 / - - + 2*3 / --- + --------- - ------------------------ / / - - + 2*3 / --- + --------- - ------------------------ \/ 27 3 / / 3 \/ 27 3 _________________ / 3 \/ 27 3 _________________ / 3 \/ 27 3 _________________ / / 3 \/ 27 3 _________________ / 3 \/ 27 3 _________________ / / 3 \/ 27 3 _________________ / 3 \/ 27 3 _________________ / / 3 \/ 27 3 _________________ / / / _____ / / _____ / / _____ / / / _____ / / _____ / / / _____ / / _____ / / / _____ / / / 242 2*\/ 235 / / 242 2*\/ 235 / / 242 2*\/ 235 / / / 242 2*\/ 235 / / 242 2*\/ 235 / / / 242 2*\/ 235 / / 242 2*\/ 235 / / / 242 2*\/ 235 / / 9*3 / --- + --------- / 9*3 / --- + --------- / 9*3 / --- + --------- / / 9*3 / --- + --------- / 9*3 / --- + --------- / / 9*3 / --- + --------- / 9*3 / --- + --------- / / 9*3 / --- + --------- 1 \/ \/ \/ 27 3 \/ \/ 27 3 1 \/ \/ 27 3 \/ \/ \/ 27 3 1 \/ \/ 27 3 \/ \/ \/ 27 3 1 \/ \/ 27 3 \/ \/ \/ 27 3 - - + --------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------- + - - - --------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------- + - - + --------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------- + - - + --------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2 2 2 2 2 2 2 2 2 2
=
-2
producto
/ ____________________________________________________________________________________________________________________________________ \ / ____________________________________________________________________________________________________________________________________\ / __________________________________________________________________________________________________________________________________\ / __________________________________________________________________________________________________________________________________\ | / _________________ | | / _________________ | | / _________________ | | / _________________ | | / / _____ | | / / _____ | | / / _____ | | / / _____ | | / 10 / 242 2*\/ 235 18 52 | | / 10 / 242 2*\/ 235 18 52 | | / 10 / 242 2*\/ 235 18 52 | | / 10 / 242 2*\/ 235 18 52 | | / - -- - 2*3 / --- + --------- + --------------------------------------------------------------------- + ------------------------ | | / - -- - 2*3 / --- + --------- + --------------------------------------------------------------------- + ------------------------ | | I* / -- + 2*3 / --- + --------- + --------------------------------------------------------------------- - ------------------------ | | I* / -- + 2*3 / --- + --------- + --------------------------------------------------------------------- - ------------------------ | | / 3 \/ 27 3 ___________________________________________________________ _________________ ___________________________________________________________| | ___________________________________________________________ / 3 \/ 27 3 ___________________________________________________________ _________________ | | ___________________________________________________________ / 3 \/ 27 3 ___________________________________________________________ _________________ | | ___________________________________________________________ / 3 \/ 27 3 ___________________________________________________________ _________________ | | / / _________________ / _____ / _________________ | | / _________________ / / _________________ / _____ | | / _________________ / / _________________ / _____ | | / _________________ / / _________________ / _____ | | / / / _____ / 242 2*\/ 235 / / _____ | | / / _____ / / / _____ / 242 2*\/ 235 | | / / _____ / / / _____ / 242 2*\/ 235 | | / / _____ / / / _____ / 242 2*\/ 235 | | / / 5 / 242 2*\/ 235 52 9*3 / --- + --------- / 5 / 242 2*\/ 235 52 | | / 5 / 242 2*\/ 235 52 / / 5 / 242 2*\/ 235 52 9*3 / --- + --------- | | / 5 / 242 2*\/ 235 52 / / 5 / 242 2*\/ 235 52 9*3 / --- + --------- | | / 5 / 242 2*\/ 235 52 / / 5 / 242 2*\/ 235 52 9*3 / --- + --------- | | / / - - + 2*3 / --- + --------- - ------------------------ \/ 27 3 / - - + 2*3 / --- + --------- - ------------------------ | | / - - + 2*3 / --- + --------- - ------------------------ / / - - + 2*3 / --- + --------- - ------------------------ \/ 27 3 | | / - - + 2*3 / --- + --------- - ------------------------ / / - - + 2*3 / --- + --------- - ------------------------ \/ 27 3 | | / - - + 2*3 / --- + --------- - ------------------------ / / - - + 2*3 / --- + --------- - ------------------------ \/ 27 3 | | / / 3 \/ 27 3 _________________ / 3 \/ 27 3 _________________ | | / 3 \/ 27 3 _________________ / / 3 \/ 27 3 _________________ | | / 3 \/ 27 3 _________________ / / 3 \/ 27 3 _________________ | | / 3 \/ 27 3 _________________ / / 3 \/ 27 3 _________________ | | / / / _____ / / _____ | | / / _____ / / / _____ | | / / _____ / / / _____ | | / / _____ / / / _____ | | / / / 242 2*\/ 235 / / 242 2*\/ 235 | | / / 242 2*\/ 235 / / / 242 2*\/ 235 | | / / 242 2*\/ 235 / / / 242 2*\/ 235 | | / / 242 2*\/ 235 / / / 242 2*\/ 235 | | / / 9*3 / --- + --------- / 9*3 / --- + --------- | | / 9*3 / --- + --------- / / 9*3 / --- + --------- | | / 9*3 / --- + --------- / / 9*3 / --- + --------- | | / 9*3 / --- + --------- / / 9*3 / --- + --------- | | 1 \/ \/ \/ 27 3 \/ \/ 27 3 | | 1 \/ \/ 27 3 \/ \/ \/ 27 3 | | 1 \/ \/ 27 3 \/ \/ \/ 27 3 | | 1 \/ \/ 27 3 \/ \/ \/ 27 3 | |- - + --------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------|*|- - - --------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------|*|- - + --------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------|*|- - + --------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 /
=
-4
-4
x1 = 0.118230371180557 - 2.29600279361186*i
x2 = 0.118230371180557 + 2.29600279361186*i
x3 = 0.298530457108168
x4 = -2.53499119946928
x4 = -2.53499119946928