El profesor se sorprenderá mucho al ver tu solución correcta😉
4 2 x + 2*x - 8*x - 7 = 0
suma
_______________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________ / ________________ / ________________ / ________________ / ________________ / / ____ / / ____ / / ____ / / ____ / 8 / 172 4*\/ 29 16 40 / 8 / 172 4*\/ 29 16 40 / 8 / 172 4*\/ 29 16 40 / 8 / 172 4*\/ 29 16 40 / - - - 2*3 / --- + -------- + ------------------------------------------------------------------- + ----------------------- / - - - 2*3 / --- + -------- + ------------------------------------------------------------------- + ----------------------- I* / - + 2*3 / --- + -------- + ------------------------------------------------------------------- - ----------------------- I* / - + 2*3 / --- + -------- + ------------------------------------------------------------------- - ----------------------- _________________________________________________________ / 3 \/ 27 3 _________________________________________________________ ________________ _________________________________________________________ / 3 \/ 27 3 _________________________________________________________ ________________ _________________________________________________________ / 3 \/ 27 3 _________________________________________________________ ________________ _________________________________________________________ / 3 \/ 27 3 _________________________________________________________ ________________ / ________________ / / ________________ / ____ / ________________ / / ________________ / ____ / ________________ / / ________________ / ____ / ________________ / / ________________ / ____ / / ____ / / / ____ / 172 4*\/ 29 / / ____ / / / ____ / 172 4*\/ 29 / / ____ / / / ____ / 172 4*\/ 29 / / ____ / / / ____ / 172 4*\/ 29 / 4 / 172 4*\/ 29 40 / / 4 / 172 4*\/ 29 40 9*3 / --- + -------- / 4 / 172 4*\/ 29 40 / / 4 / 172 4*\/ 29 40 9*3 / --- + -------- / 4 / 172 4*\/ 29 40 / / 4 / 172 4*\/ 29 40 9*3 / --- + -------- / 4 / 172 4*\/ 29 40 / / 4 / 172 4*\/ 29 40 9*3 / --- + -------- / - - + 2*3 / --- + -------- - ----------------------- / / - - + 2*3 / --- + -------- - ----------------------- \/ 27 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 ________________ / / ____ / / / ____ / / ____ / / / ____ / / ____ / / / ____ / / ____ / / / ____ / / 172 4*\/ 29 / / / 172 4*\/ 29 / / 172 4*\/ 29 / / / 172 4*\/ 29 / / 172 4*\/ 29 / / / 172 4*\/ 29 / / 172 4*\/ 29 / / / 172 4*\/ 29 / 9*3 / --- + -------- / / 9*3 / --- + -------- / 9*3 / --- + -------- / / 9*3 / --- + -------- / 9*3 / --- + -------- / / 9*3 / --- + -------- / 9*3 / --- + -------- / / 9*3 / --- + -------- \/ \/ 27 3 \/ \/ \/ 27 3 \/ \/ 27 3 \/ \/ \/ 27 3 \/ \/ 27 3 \/ \/ \/ 27 3 \/ \/ 27 3 \/ \/ \/ 27 3 ------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------- + - ------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------- + - ------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2 2 2 2 2 2
=
0
producto
/ _______________________________________________________________________________________________________________________________\ / _______________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________\ | / ________________ | | / ________________ | | / ________________ | | / ________________ | | / / ____ | | / / ____ | | / / ____ | | / / ____ | | / 8 / 172 4*\/ 29 16 40 | | / 8 / 172 4*\/ 29 16 40 | | / 8 / 172 4*\/ 29 16 40 | | / 8 / 172 4*\/ 29 16 40 | | / - - - 2*3 / --- + -------- + ------------------------------------------------------------------- + ----------------------- | | / - - - 2*3 / --- + -------- + ------------------------------------------------------------------- + ----------------------- | | I* / - + 2*3 / --- + -------- + ------------------------------------------------------------------- - ----------------------- | | I* / - + 2*3 / --- + -------- + ------------------------------------------------------------------- - ----------------------- | | _________________________________________________________ / 3 \/ 27 3 _________________________________________________________ ________________ | | _________________________________________________________ / 3 \/ 27 3 _________________________________________________________ ________________ | | _________________________________________________________ / 3 \/ 27 3 _________________________________________________________ ________________ | | _________________________________________________________ / 3 \/ 27 3 _________________________________________________________ ________________ | | / ________________ / / ________________ / ____ | | / ________________ / / ________________ / ____ | | / ________________ / / ________________ / ____ | | / ________________ / / ________________ / ____ | | / / ____ / / / ____ / 172 4*\/ 29 | | / / ____ / / / ____ / 172 4*\/ 29 | | / / ____ / / / ____ / 172 4*\/ 29 | | / / ____ / / / ____ / 172 4*\/ 29 | | / 4 / 172 4*\/ 29 40 / / 4 / 172 4*\/ 29 40 9*3 / --- + -------- | | / 4 / 172 4*\/ 29 40 / / 4 / 172 4*\/ 29 40 9*3 / --- + -------- | | / 4 / 172 4*\/ 29 40 / / 4 / 172 4*\/ 29 40 9*3 / --- + -------- | | / 4 / 172 4*\/ 29 40 / / 4 / 172 4*\/ 29 40 9*3 / --- + -------- | | / - - + 2*3 / --- + -------- - ----------------------- / / - - + 2*3 / --- + -------- - ----------------------- \/ 27 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 ________________ | | / / ____ / / / ____ | | / / ____ / / / ____ | | / / ____ / / / ____ | | / / ____ / / / ____ | | / / 172 4*\/ 29 / / / 172 4*\/ 29 | | / / 172 4*\/ 29 / / / 172 4*\/ 29 | | / / 172 4*\/ 29 / / / 172 4*\/ 29 | | / / 172 4*\/ 29 / / / 172 4*\/ 29 | | / 9*3 / --- + -------- / / 9*3 / --- + -------- | | / 9*3 / --- + -------- / / 9*3 / --- + -------- | | / 9*3 / --- + -------- / / 9*3 / --- + -------- | | / 9*3 / --- + -------- / / 9*3 / --- + -------- | |\/ \/ 27 3 \/ \/ \/ 27 3 | |\/ \/ 27 3 \/ \/ \/ 27 3 | | \/ \/ 27 3 \/ \/ \/ 27 3 | | \/ \/ 27 3 \/ \/ \/ 27 3 | |------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------|*|------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------|*|- ------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------|*|- ------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
=
-7
-7
_______________________________________________________________________________________________________________________________ / ________________ / / ____ / 8 / 172 4*\/ 29 16 40 / - - - 2*3 / --- + -------- + ------------------------------------------------------------------- + ----------------------- _________________________________________________________ / 3 \/ 27 3 _________________________________________________________ ________________ / ________________ / / ________________ / ____ / / ____ / / / ____ / 172 4*\/ 29 / 4 / 172 4*\/ 29 40 / / 4 / 172 4*\/ 29 40 9*3 / --- + -------- / - - + 2*3 / --- + -------- - ----------------------- / / - - + 2*3 / --- + -------- - ----------------------- \/ 27 3 / 3 \/ 27 3 ________________ / / 3 \/ 27 3 ________________ / / ____ / / / ____ / / 172 4*\/ 29 / / / 172 4*\/ 29 / 9*3 / --- + -------- / / 9*3 / --- + -------- \/ \/ 27 3 \/ \/ \/ 27 3 x1 = ------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------- 2 2
_______________________________________________________________________________________________________________________________ / ________________ / / ____ / 8 / 172 4*\/ 29 16 40 / - - - 2*3 / --- + -------- + ------------------------------------------------------------------- + ----------------------- _________________________________________________________ / 3 \/ 27 3 _________________________________________________________ ________________ / ________________ / / ________________ / ____ / / ____ / / / ____ / 172 4*\/ 29 / 4 / 172 4*\/ 29 40 / / 4 / 172 4*\/ 29 40 9*3 / --- + -------- / - - + 2*3 / --- + -------- - ----------------------- / / - - + 2*3 / --- + -------- - ----------------------- \/ 27 3 / 3 \/ 27 3 ________________ / / 3 \/ 27 3 ________________ / / ____ / / / ____ / / 172 4*\/ 29 / / / 172 4*\/ 29 / 9*3 / --- + -------- / / 9*3 / --- + -------- \/ \/ 27 3 \/ \/ \/ 27 3 x2 = ------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------- 2 2
_____________________________________________________________________________________________________________________________ / ________________ / / ____ / 8 / 172 4*\/ 29 16 40 I* / - + 2*3 / --- + -------- + ------------------------------------------------------------------- - ----------------------- _________________________________________________________ / 3 \/ 27 3 _________________________________________________________ ________________ / ________________ / / ________________ / ____ / / ____ / / / ____ / 172 4*\/ 29 / 4 / 172 4*\/ 29 40 / / 4 / 172 4*\/ 29 40 9*3 / --- + -------- / - - + 2*3 / --- + -------- - ----------------------- / / - - + 2*3 / --- + -------- - ----------------------- \/ 27 3 / 3 \/ 27 3 ________________ / / 3 \/ 27 3 ________________ / / ____ / / / ____ / / 172 4*\/ 29 / / / 172 4*\/ 29 / 9*3 / --- + -------- / / 9*3 / --- + -------- \/ \/ 27 3 \/ \/ \/ 27 3 x3 = - ------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------- 2 2
_____________________________________________________________________________________________________________________________ / ________________ / / ____ / 8 / 172 4*\/ 29 16 40 I* / - + 2*3 / --- + -------- + ------------------------------------------------------------------- - ----------------------- _________________________________________________________ / 3 \/ 27 3 _________________________________________________________ ________________ / ________________ / / ________________ / ____ / / ____ / / / ____ / 172 4*\/ 29 / 4 / 172 4*\/ 29 40 / / 4 / 172 4*\/ 29 40 9*3 / --- + -------- / - - + 2*3 / --- + -------- - ----------------------- / / - - + 2*3 / --- + -------- - ----------------------- \/ 27 3 / 3 \/ 27 3 ________________ / / 3 \/ 27 3 ________________ / / ____ / / / ____ / / 172 4*\/ 29 / / / 172 4*\/ 29 / 9*3 / --- + -------- / / 9*3 / --- + -------- \/ \/ 27 3 \/ \/ \/ 27 3 x4 = - ------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------- 2 2
x4 = -sqrt(-40/(9*(172/27 + 4*sqrt(29)/3)^(1/3)) - 4/3 + 2*(172/27 + 4*sqrt(29)/3)^(1/3))/2 + i*sqrt(-40/(9*(172/27 + 4*sqrt(29)/3)^(1/3)) + 8/3 + 2*(172/27 + 4*sqrt(29)/3)^(1/3) + 16/sqrt(-40/(9*(172/27 + 4*sqrt(29)/3)^(1/3)) - 4/3 + 2*(172/27 + 4*sqrt(29)/3)^(1/3)))/2
x1 = -0.626615337908865 + 2.14112063462735*i
x2 = -0.626615337908865 - 2.14112063462735*i
x3 = 1.96792216657326
x4 = -0.714691490755533
x4 = -0.714691490755533