El profesor se sorprenderá mucho al ver tu solución correcta😉
4 3 2 x - 2*x - 4*x - 2*x + 16 = 0
_________________________________________________________________________________________________________________________________ / _________________ / / ______ / 22 / 1615 \/ 8961 14 98 / -- - 2*3 / ---- + -------- + -------------------------------------------------------------------- - ------------------------ __________________________________________________________ / 3 \/ 108 12 __________________________________________________________ _________________ / _________________ / / _________________ / ______ / / ______ / / / ______ / 1615 \/ 8961 / 11 / 1615 \/ 8961 98 / / 11 / 1615 \/ 8961 98 9*3 / ---- + -------- / -- + 2*3 / ---- + -------- + ------------------------ / / -- + 2*3 / ---- + -------- + ------------------------ \/ 108 12 / 3 \/ 108 12 _________________ / / 3 \/ 108 12 _________________ / / ______ / / / ______ / / 1615 \/ 8961 / / / 1615 \/ 8961 / 9*3 / ---- + -------- / / 9*3 / ---- + -------- 1 \/ \/ 108 12 \/ \/ \/ 108 12 x1 = - + -------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------ 2 2 2
_________________________________________________________________________________________________________________________________ / _________________ / / ______ / 22 / 1615 \/ 8961 14 98 / -- - 2*3 / ---- + -------- + -------------------------------------------------------------------- - ------------------------ __________________________________________________________ / 3 \/ 108 12 __________________________________________________________ _________________ / _________________ / / _________________ / ______ / / ______ / / / ______ / 1615 \/ 8961 / 11 / 1615 \/ 8961 98 / / 11 / 1615 \/ 8961 98 9*3 / ---- + -------- / -- + 2*3 / ---- + -------- + ------------------------ / / -- + 2*3 / ---- + -------- + ------------------------ \/ 108 12 / 3 \/ 108 12 _________________ / / 3 \/ 108 12 _________________ / / ______ / / / ______ / / 1615 \/ 8961 / / / 1615 \/ 8961 / 9*3 / ---- + -------- / / 9*3 / ---- + -------- 1 \/ \/ 108 12 \/ \/ \/ 108 12 x2 = - + -------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------ 2 2 2
___________________________________________________________________________________________________________________________________ / _________________ / / ______ / 22 / 1615 \/ 8961 14 98 I* / - -- + 2*3 / ---- + -------- + -------------------------------------------------------------------- + ------------------------ __________________________________________________________ / 3 \/ 108 12 __________________________________________________________ _________________ / _________________ / / _________________ / ______ / / ______ / / / ______ / 1615 \/ 8961 / 11 / 1615 \/ 8961 98 / / 11 / 1615 \/ 8961 98 9*3 / ---- + -------- / -- + 2*3 / ---- + -------- + ------------------------ / / -- + 2*3 / ---- + -------- + ------------------------ \/ 108 12 / 3 \/ 108 12 _________________ / / 3 \/ 108 12 _________________ / / ______ / / / ______ / / 1615 \/ 8961 / / / 1615 \/ 8961 / 9*3 / ---- + -------- / / 9*3 / ---- + -------- 1 \/ \/ 108 12 \/ \/ \/ 108 12 x3 = - - -------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
___________________________________________________________________________________________________________________________________ / _________________ / / ______ / 22 / 1615 \/ 8961 14 98 I* / - -- + 2*3 / ---- + -------- + -------------------------------------------------------------------- + ------------------------ __________________________________________________________ / 3 \/ 108 12 __________________________________________________________ _________________ / _________________ / / _________________ / ______ / / ______ / / / ______ / 1615 \/ 8961 / 11 / 1615 \/ 8961 98 / / 11 / 1615 \/ 8961 98 9*3 / ---- + -------- / -- + 2*3 / ---- + -------- + ------------------------ / / -- + 2*3 / ---- + -------- + ------------------------ \/ 108 12 / 3 \/ 108 12 _________________ / / 3 \/ 108 12 _________________ / / ______ / / / ______ / / 1615 \/ 8961 / / / 1615 \/ 8961 / 9*3 / ---- + -------- / / 9*3 / ---- + -------- 1 \/ \/ 108 12 \/ \/ \/ 108 12 x4 = - - -------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
x4 = -sqrt(11/3 + 98/(9*(sqrt(8961)/12 + 1615/108)^(1/3)) + 2*(sqrt(8961)/12 + 1615/108)^(1/3))/2 + 1/2 + i*sqrt(-22/3 + 98/(9*(sqrt(8961)/12 + 1615/108)^(1/3)) + 14/sqrt(11/3 + 98/(9*(sqrt(8961)/12 + 1615/108)^(1/3)) + 2*(sqrt(8961)/12 + 1615/108)^(1/3)) + 2*(sqrt(8961)/12 + 1615/108)^(1/3))/2
suma
_________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________ / _________________ / _________________ / _________________ / _________________ / / ______ / / ______ / / ______ / / ______ / 22 / 1615 \/ 8961 14 98 / 22 / 1615 \/ 8961 14 98 / 22 / 1615 \/ 8961 14 98 / 22 / 1615 \/ 8961 14 98 / -- - 2*3 / ---- + -------- + -------------------------------------------------------------------- - ------------------------ / -- - 2*3 / ---- + -------- + -------------------------------------------------------------------- - ------------------------ I* / - -- + 2*3 / ---- + -------- + -------------------------------------------------------------------- + ------------------------ I* / - -- + 2*3 / ---- + -------- + -------------------------------------------------------------------- + ------------------------ __________________________________________________________ / 3 \/ 108 12 __________________________________________________________ _________________ __________________________________________________________ / 3 \/ 108 12 __________________________________________________________ _________________ __________________________________________________________ / 3 \/ 108 12 __________________________________________________________ _________________ __________________________________________________________ / 3 \/ 108 12 __________________________________________________________ _________________ / _________________ / / _________________ / ______ / _________________ / / _________________ / ______ / _________________ / / _________________ / ______ / _________________ / / _________________ / ______ / / ______ / / / ______ / 1615 \/ 8961 / / ______ / / / ______ / 1615 \/ 8961 / / ______ / / / ______ / 1615 \/ 8961 / / ______ / / / ______ / 1615 \/ 8961 / 11 / 1615 \/ 8961 98 / / 11 / 1615 \/ 8961 98 9*3 / ---- + -------- / 11 / 1615 \/ 8961 98 / / 11 / 1615 \/ 8961 98 9*3 / ---- + -------- / 11 / 1615 \/ 8961 98 / / 11 / 1615 \/ 8961 98 9*3 / ---- + -------- / 11 / 1615 \/ 8961 98 / / 11 / 1615 \/ 8961 98 9*3 / ---- + -------- / -- + 2*3 / ---- + -------- + ------------------------ / / -- + 2*3 / ---- + -------- + ------------------------ \/ 108 12 / -- + 2*3 / ---- + -------- + ------------------------ / / -- + 2*3 / ---- + -------- + ------------------------ \/ 108 12 / -- + 2*3 / ---- + -------- + ------------------------ / / -- + 2*3 / ---- + -------- + ------------------------ \/ 108 12 / -- + 2*3 / ---- + -------- + ------------------------ / / -- + 2*3 / ---- + -------- + ------------------------ \/ 108 12 / 3 \/ 108 12 _________________ / / 3 \/ 108 12 _________________ / 3 \/ 108 12 _________________ / / 3 \/ 108 12 _________________ / 3 \/ 108 12 _________________ / / 3 \/ 108 12 _________________ / 3 \/ 108 12 _________________ / / 3 \/ 108 12 _________________ / / ______ / / / ______ / / ______ / / / ______ / / ______ / / / ______ / / ______ / / / ______ / / 1615 \/ 8961 / / / 1615 \/ 8961 / / 1615 \/ 8961 / / / 1615 \/ 8961 / / 1615 \/ 8961 / / / 1615 \/ 8961 / / 1615 \/ 8961 / / / 1615 \/ 8961 / 9*3 / ---- + -------- / / 9*3 / ---- + -------- / 9*3 / ---- + -------- / / 9*3 / ---- + -------- / 9*3 / ---- + -------- / / 9*3 / ---- + -------- / 9*3 / ---- + -------- / / 9*3 / ---- + -------- 1 \/ \/ 108 12 \/ \/ \/ 108 12 1 \/ \/ 108 12 \/ \/ \/ 108 12 1 \/ \/ 108 12 \/ \/ \/ 108 12 1 \/ \/ 108 12 \/ \/ \/ 108 12 - + -------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------ + - + -------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------ + - - -------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------- + - - -------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2 2 2 2 2 2 2 2 2 2
=
2
producto
/ _________________________________________________________________________________________________________________________________\ / _________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________\ | / _________________ | | / _________________ | | / _________________ | | / _________________ | | / / ______ | | / / ______ | | / / ______ | | / / ______ | | / 22 / 1615 \/ 8961 14 98 | | / 22 / 1615 \/ 8961 14 98 | | / 22 / 1615 \/ 8961 14 98 | | / 22 / 1615 \/ 8961 14 98 | | / -- - 2*3 / ---- + -------- + -------------------------------------------------------------------- - ------------------------ | | / -- - 2*3 / ---- + -------- + -------------------------------------------------------------------- - ------------------------ | | I* / - -- + 2*3 / ---- + -------- + -------------------------------------------------------------------- + ------------------------ | | I* / - -- + 2*3 / ---- + -------- + -------------------------------------------------------------------- + ------------------------ | | __________________________________________________________ / 3 \/ 108 12 __________________________________________________________ _________________ | | __________________________________________________________ / 3 \/ 108 12 __________________________________________________________ _________________ | | __________________________________________________________ / 3 \/ 108 12 __________________________________________________________ _________________ | | __________________________________________________________ / 3 \/ 108 12 __________________________________________________________ _________________ | | / _________________ / / _________________ / ______ | | / _________________ / / _________________ / ______ | | / _________________ / / _________________ / ______ | | / _________________ / / _________________ / ______ | | / / ______ / / / ______ / 1615 \/ 8961 | | / / ______ / / / ______ / 1615 \/ 8961 | | / / ______ / / / ______ / 1615 \/ 8961 | | / / ______ / / / ______ / 1615 \/ 8961 | | / 11 / 1615 \/ 8961 98 / / 11 / 1615 \/ 8961 98 9*3 / ---- + -------- | | / 11 / 1615 \/ 8961 98 / / 11 / 1615 \/ 8961 98 9*3 / ---- + -------- | | / 11 / 1615 \/ 8961 98 / / 11 / 1615 \/ 8961 98 9*3 / ---- + -------- | | / 11 / 1615 \/ 8961 98 / / 11 / 1615 \/ 8961 98 9*3 / ---- + -------- | | / -- + 2*3 / ---- + -------- + ------------------------ / / -- + 2*3 / ---- + -------- + ------------------------ \/ 108 12 | | / -- + 2*3 / ---- + -------- + ------------------------ / / -- + 2*3 / ---- + -------- + ------------------------ \/ 108 12 | | / -- + 2*3 / ---- + -------- + ------------------------ / / -- + 2*3 / ---- + -------- + ------------------------ \/ 108 12 | | / -- + 2*3 / ---- + -------- + ------------------------ / / -- + 2*3 / ---- + -------- + ------------------------ \/ 108 12 | | / 3 \/ 108 12 _________________ / / 3 \/ 108 12 _________________ | | / 3 \/ 108 12 _________________ / / 3 \/ 108 12 _________________ | | / 3 \/ 108 12 _________________ / / 3 \/ 108 12 _________________ | | / 3 \/ 108 12 _________________ / / 3 \/ 108 12 _________________ | | / / ______ / / / ______ | | / / ______ / / / ______ | | / / ______ / / / ______ | | / / ______ / / / ______ | | / / 1615 \/ 8961 / / / 1615 \/ 8961 | | / / 1615 \/ 8961 / / / 1615 \/ 8961 | | / / 1615 \/ 8961 / / / 1615 \/ 8961 | | / / 1615 \/ 8961 / / / 1615 \/ 8961 | | / 9*3 / ---- + -------- / / 9*3 / ---- + -------- | | / 9*3 / ---- + -------- / / 9*3 / ---- + -------- | | / 9*3 / ---- + -------- / / 9*3 / ---- + -------- | | / 9*3 / ---- + -------- / / 9*3 / ---- + -------- | |1 \/ \/ 108 12 \/ \/ \/ 108 12 | |1 \/ \/ 108 12 \/ \/ \/ 108 12 | |1 \/ \/ 108 12 \/ \/ \/ 108 12 | |1 \/ \/ 108 12 \/ \/ \/ 108 12 | |- + -------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------|*|- + -------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------|*|- - -------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------|*|- - -------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------| \2 2 2 / \2 2 2 / \2 2 2 / \2 2 2 /
=
16
16
x1 = 2.96271542539271
x2 = 1.66758258378553
x3 = -1.31514900458912 + 1.22836235984099*i
x4 = -1.31514900458912 - 1.22836235984099*i
x4 = -1.31514900458912 - 1.22836235984099*i