El profesor se sorprenderá mucho al ver tu solución correcta😉
4 2 x - x - 23*x - 48 = 0
_________________________________________________________________________________________________________________________________________________________ / _______________________ / / ________ / 4 / 10825 25*\/ 156021 46 575 / - - 2*3 / ----- + ------------- + -------------------------------------------------------------------------------- + ------------------------------- ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ _______________________ / _______________________ / / _______________________ / ________ / / ________ / / / ________ / 10825 25*\/ 156021 / 2 / 10825 25*\/ 156021 575 / / 2 / 10825 25*\/ 156021 575 18*3 / ----- + ------------- / - + 2*3 / ----- + ------------- - ------------------------------- / / - + 2*3 / ----- + ------------- - ------------------------------- \/ 432 144 / 3 \/ 432 144 _______________________ / / 3 \/ 432 144 _______________________ / / ________ / / / ________ / / 10825 25*\/ 156021 / / / 10825 25*\/ 156021 / 18*3 / ----- + ------------- / / 18*3 / ----- + ------------- \/ \/ 432 144 \/ \/ \/ 432 144 x1 = -------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 2 2
_________________________________________________________________________________________________________________________________________________________ / _______________________ / / ________ / 4 / 10825 25*\/ 156021 46 575 / - - 2*3 / ----- + ------------- + -------------------------------------------------------------------------------- + ------------------------------- ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ _______________________ / _______________________ / / _______________________ / ________ / / ________ / / / ________ / 10825 25*\/ 156021 / 2 / 10825 25*\/ 156021 575 / / 2 / 10825 25*\/ 156021 575 18*3 / ----- + ------------- / - + 2*3 / ----- + ------------- - ------------------------------- / / - + 2*3 / ----- + ------------- - ------------------------------- \/ 432 144 / 3 \/ 432 144 _______________________ / / 3 \/ 432 144 _______________________ / / ________ / / / ________ / / 10825 25*\/ 156021 / / / 10825 25*\/ 156021 / 18*3 / ----- + ------------- / / 18*3 / ----- + ------------- \/ \/ 432 144 \/ \/ \/ 432 144 x2 = -------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 2 2
___________________________________________________________________________________________________________________________________________________________ / _______________________ / / ________ / 4 / 10825 25*\/ 156021 46 575 I* / - - + 2*3 / ----- + ------------- + -------------------------------------------------------------------------------- - ------------------------------- ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ _______________________ / _______________________ / / _______________________ / ________ / / ________ / / / ________ / 10825 25*\/ 156021 / 2 / 10825 25*\/ 156021 575 / / 2 / 10825 25*\/ 156021 575 18*3 / ----- + ------------- / - + 2*3 / ----- + ------------- - ------------------------------- / / - + 2*3 / ----- + ------------- - ------------------------------- \/ 432 144 / 3 \/ 432 144 _______________________ / / 3 \/ 432 144 _______________________ / / ________ / / / ________ / / 10825 25*\/ 156021 / / / 10825 25*\/ 156021 / 18*3 / ----- + ------------- / / 18*3 / ----- + ------------- \/ \/ 432 144 \/ \/ \/ 432 144 x3 = - -------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2
___________________________________________________________________________________________________________________________________________________________ / _______________________ / / ________ / 4 / 10825 25*\/ 156021 46 575 I* / - - + 2*3 / ----- + ------------- + -------------------------------------------------------------------------------- - ------------------------------- ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ _______________________ / _______________________ / / _______________________ / ________ / / ________ / / / ________ / 10825 25*\/ 156021 / 2 / 10825 25*\/ 156021 575 / / 2 / 10825 25*\/ 156021 575 18*3 / ----- + ------------- / - + 2*3 / ----- + ------------- - ------------------------------- / / - + 2*3 / ----- + ------------- - ------------------------------- \/ 432 144 / 3 \/ 432 144 _______________________ / / 3 \/ 432 144 _______________________ / / ________ / / / ________ / / 10825 25*\/ 156021 / / / 10825 25*\/ 156021 / 18*3 / ----- + ------------- / / 18*3 / ----- + ------------- \/ \/ 432 144 \/ \/ \/ 432 144 x4 = - -------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2
x4 = -sqrt(-575/(18*(10825/432 + 25*sqrt(156021)/144)^(1/3)) + 2/3 + 2*(10825/432 + 25*sqrt(156021)/144)^(1/3))/2 + i*sqrt(-575/(18*(10825/432 + 25*sqrt(156021)/144)^(1/3)) - 4/3 + 2*(10825/432 + 25*sqrt(156021)/144)^(1/3) + 46/sqrt(-575/(18*(10825/432 + 25*sqrt(156021)/144)^(1/3)) + 2/3 + 2*(10825/432 + 25*sqrt(156021)/144)^(1/3)))/2
suma
_________________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________________________ / _______________________ / _______________________ / _______________________ / _______________________ / / ________ / / ________ / / ________ / / ________ / 4 / 10825 25*\/ 156021 46 575 / 4 / 10825 25*\/ 156021 46 575 / 4 / 10825 25*\/ 156021 46 575 / 4 / 10825 25*\/ 156021 46 575 / - - 2*3 / ----- + ------------- + -------------------------------------------------------------------------------- + ------------------------------- / - - 2*3 / ----- + ------------- + -------------------------------------------------------------------------------- + ------------------------------- I* / - - + 2*3 / ----- + ------------- + -------------------------------------------------------------------------------- - ------------------------------- I* / - - + 2*3 / ----- + ------------- + -------------------------------------------------------------------------------- - ------------------------------- ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ _______________________ ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ _______________________ ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ _______________________ ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ _______________________ / _______________________ / / _______________________ / ________ / _______________________ / / _______________________ / ________ / _______________________ / / _______________________ / ________ / _______________________ / / _______________________ / ________ / / ________ / / / ________ / 10825 25*\/ 156021 / / ________ / / / ________ / 10825 25*\/ 156021 / / ________ / / / ________ / 10825 25*\/ 156021 / / ________ / / / ________ / 10825 25*\/ 156021 / 2 / 10825 25*\/ 156021 575 / / 2 / 10825 25*\/ 156021 575 18*3 / ----- + ------------- / 2 / 10825 25*\/ 156021 575 / / 2 / 10825 25*\/ 156021 575 18*3 / ----- + ------------- / 2 / 10825 25*\/ 156021 575 / / 2 / 10825 25*\/ 156021 575 18*3 / ----- + ------------- / 2 / 10825 25*\/ 156021 575 / / 2 / 10825 25*\/ 156021 575 18*3 / ----- + ------------- / - + 2*3 / ----- + ------------- - ------------------------------- / / - + 2*3 / ----- + ------------- - ------------------------------- \/ 432 144 / - + 2*3 / ----- + ------------- - ------------------------------- / / - + 2*3 / ----- + ------------- - ------------------------------- \/ 432 144 / - + 2*3 / ----- + ------------- - ------------------------------- / / - + 2*3 / ----- + ------------- - ------------------------------- \/ 432 144 / - + 2*3 / ----- + ------------- - ------------------------------- / / - + 2*3 / ----- + ------------- - ------------------------------- \/ 432 144 / 3 \/ 432 144 _______________________ / / 3 \/ 432 144 _______________________ / 3 \/ 432 144 _______________________ / / 3 \/ 432 144 _______________________ / 3 \/ 432 144 _______________________ / / 3 \/ 432 144 _______________________ / 3 \/ 432 144 _______________________ / / 3 \/ 432 144 _______________________ / / ________ / / / ________ / / ________ / / / ________ / / ________ / / / ________ / / ________ / / / ________ / / 10825 25*\/ 156021 / / / 10825 25*\/ 156021 / / 10825 25*\/ 156021 / / / 10825 25*\/ 156021 / / 10825 25*\/ 156021 / / / 10825 25*\/ 156021 / / 10825 25*\/ 156021 / / / 10825 25*\/ 156021 / 18*3 / ----- + ------------- / / 18*3 / ----- + ------------- / 18*3 / ----- + ------------- / / 18*3 / ----- + ------------- / 18*3 / ----- + ------------- / / 18*3 / ----- + ------------- / 18*3 / ----- + ------------- / / 18*3 / ----- + ------------- \/ \/ 432 144 \/ \/ \/ 432 144 \/ \/ 432 144 \/ \/ \/ 432 144 \/ \/ 432 144 \/ \/ \/ 432 144 \/ \/ 432 144 \/ \/ \/ 432 144 -------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + -------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + - -------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - -------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2 2 2 2 2 2
=
0
producto
/ _________________________________________________________________________________________________________________________________________________________\ / _________________________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________________________\ | / _______________________ | | / _______________________ | | / _______________________ | | / _______________________ | | / / ________ | | / / ________ | | / / ________ | | / / ________ | | / 4 / 10825 25*\/ 156021 46 575 | | / 4 / 10825 25*\/ 156021 46 575 | | / 4 / 10825 25*\/ 156021 46 575 | | / 4 / 10825 25*\/ 156021 46 575 | | / - - 2*3 / ----- + ------------- + -------------------------------------------------------------------------------- + ------------------------------- | | / - - 2*3 / ----- + ------------- + -------------------------------------------------------------------------------- + ------------------------------- | | I* / - - + 2*3 / ----- + ------------- + -------------------------------------------------------------------------------- - ------------------------------- | | I* / - - + 2*3 / ----- + ------------- + -------------------------------------------------------------------------------- - ------------------------------- | | ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ _______________________ | | ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ _______________________ | | ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ _______________________ | | ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ _______________________ | | / _______________________ / / _______________________ / ________ | | / _______________________ / / _______________________ / ________ | | / _______________________ / / _______________________ / ________ | | / _______________________ / / _______________________ / ________ | | / / ________ / / / ________ / 10825 25*\/ 156021 | | / / ________ / / / ________ / 10825 25*\/ 156021 | | / / ________ / / / ________ / 10825 25*\/ 156021 | | / / ________ / / / ________ / 10825 25*\/ 156021 | | / 2 / 10825 25*\/ 156021 575 / / 2 / 10825 25*\/ 156021 575 18*3 / ----- + ------------- | | / 2 / 10825 25*\/ 156021 575 / / 2 / 10825 25*\/ 156021 575 18*3 / ----- + ------------- | | / 2 / 10825 25*\/ 156021 575 / / 2 / 10825 25*\/ 156021 575 18*3 / ----- + ------------- | | / 2 / 10825 25*\/ 156021 575 / / 2 / 10825 25*\/ 156021 575 18*3 / ----- + ------------- | | / - + 2*3 / ----- + ------------- - ------------------------------- / / - + 2*3 / ----- + ------------- - ------------------------------- \/ 432 144 | | / - + 2*3 / ----- + ------------- - ------------------------------- / / - + 2*3 / ----- + ------------- - ------------------------------- \/ 432 144 | | / - + 2*3 / ----- + ------------- - ------------------------------- / / - + 2*3 / ----- + ------------- - ------------------------------- \/ 432 144 | | / - + 2*3 / ----- + ------------- - ------------------------------- / / - + 2*3 / ----- + ------------- - ------------------------------- \/ 432 144 | | / 3 \/ 432 144 _______________________ / / 3 \/ 432 144 _______________________ | | / 3 \/ 432 144 _______________________ / / 3 \/ 432 144 _______________________ | | / 3 \/ 432 144 _______________________ / / 3 \/ 432 144 _______________________ | | / 3 \/ 432 144 _______________________ / / 3 \/ 432 144 _______________________ | | / / ________ / / / ________ | | / / ________ / / / ________ | | / / ________ / / / ________ | | / / ________ / / / ________ | | / / 10825 25*\/ 156021 / / / 10825 25*\/ 156021 | | / / 10825 25*\/ 156021 / / / 10825 25*\/ 156021 | | / / 10825 25*\/ 156021 / / / 10825 25*\/ 156021 | | / / 10825 25*\/ 156021 / / / 10825 25*\/ 156021 | | / 18*3 / ----- + ------------- / / 18*3 / ----- + ------------- | | / 18*3 / ----- + ------------- / / 18*3 / ----- + ------------- | | / 18*3 / ----- + ------------- / / 18*3 / ----- + ------------- | | / 18*3 / ----- + ------------- / / 18*3 / ----- + ------------- | |\/ \/ 432 144 \/ \/ \/ 432 144 | |\/ \/ 432 144 \/ \/ \/ 432 144 | | \/ \/ 432 144 \/ \/ \/ 432 144 | | \/ \/ 432 144 \/ \/ \/ 432 144 | |-------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- -------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- -------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
=
-48
-48
x1 = -1.78450665401252
x2 = -0.823665656971336 - 2.67570794982018*i
x3 = -0.823665656971336 + 2.67570794982018*i
x4 = 3.43183796795519
x4 = 3.43183796795519