El profesor se sorprenderá mucho al ver tu solución correcta😉
4 2 (x + 4) - 2*(x - 4) - 15 = 0
___________________________________________________________________________________________________________________________________________ / ____________________ / / _______ / 8 / 440 16*\/ 34113 64 856 / - - 2*3 / --- + ------------ + ------------------------------------------------------------------------- + --------------------------- / 3 \/ 27 9 _______________________________________________________________ ____________________ _______________________________________________________________ / / ____________________ / _______ / ____________________ / / / _______ / 440 16*\/ 34113 / / _______ / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / 4 / 440 16*\/ 34113 856 / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / - + 2*3 / --- + ------------ - --------------------------- / / 3 \/ 27 9 ____________________ / 3 \/ 27 9 ____________________ / / / _______ / / _______ / / / 440 16*\/ 34113 / / 440 16*\/ 34113 / / 9*3 / --- + ------------ / 9*3 / --- + ------------ \/ \/ \/ 27 9 \/ \/ 27 9 x1 = -4 + ---------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------- 2 2
___________________________________________________________________________________________________________________________________________ / ____________________ / / _______ / 8 / 440 16*\/ 34113 64 856 / - - 2*3 / --- + ------------ + ------------------------------------------------------------------------- + --------------------------- _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ / ____________________ / / ____________________ / _______ / / _______ / / / _______ / 440 16*\/ 34113 / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ / / _______ / / / _______ / / 440 16*\/ 34113 / / / 440 16*\/ 34113 / 9*3 / --- + ------------ / / 9*3 / --- + ------------ \/ \/ 27 9 \/ \/ \/ 27 9 x2 = -4 - ------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2
_____________________________________________________________________________________________________________________________________________ / ____________________ / / _______ / 8 / 440 16*\/ 34113 64 856 I* / - - + 2*3 / --- + ------------ + ------------------------------------------------------------------------- - --------------------------- _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ / ____________________ / / ____________________ / _______ / / _______ / / / _______ / 440 16*\/ 34113 / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ / / _______ / / / _______ / / 440 16*\/ 34113 / / / 440 16*\/ 34113 / 9*3 / --- + ------------ / / 9*3 / --- + ------------ \/ \/ 27 9 \/ \/ \/ 27 9 x3 = -4 + ------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2
_____________________________________________________________________________________________________________________________________________ / ____________________ / / _______ / 8 / 440 16*\/ 34113 64 856 I* / - - + 2*3 / --- + ------------ + ------------------------------------------------------------------------- - --------------------------- _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ / ____________________ / / ____________________ / _______ / / _______ / / / _______ / 440 16*\/ 34113 / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ / / _______ / / / _______ / / 440 16*\/ 34113 / / / 440 16*\/ 34113 / 9*3 / --- + ------------ / / 9*3 / --- + ------------ \/ \/ 27 9 \/ \/ \/ 27 9 x4 = -4 + ------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2
x4 = -4 + sqrt(-856/(9*(440/27 + 16*sqrt(34113)/9)^(1/3)) + 4/3 + 2*(440/27 + 16*sqrt(34113)/9)^(1/3))/2 + i*sqrt(-856/(9*(440/27 + 16*sqrt(34113)/9)^(1/3)) - 8/3 + 2*(440/27 + 16*sqrt(34113)/9)^(1/3) + 64/sqrt(-856/(9*(440/27 + 16*sqrt(34113)/9)^(1/3)) + 4/3 + 2*(440/27 + 16*sqrt(34113)/9)^(1/3)))/2
suma
___________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________ / ____________________ / ____________________ / ____________________ / ____________________ / / _______ / / _______ / / _______ / / _______ / 8 / 440 16*\/ 34113 64 856 / 8 / 440 16*\/ 34113 64 856 / 8 / 440 16*\/ 34113 64 856 / 8 / 440 16*\/ 34113 64 856 / - - 2*3 / --- + ------------ + ------------------------------------------------------------------------- + --------------------------- / - - 2*3 / --- + ------------ + ------------------------------------------------------------------------- + --------------------------- I* / - - + 2*3 / --- + ------------ + ------------------------------------------------------------------------- - --------------------------- I* / - - + 2*3 / --- + ------------ + ------------------------------------------------------------------------- - --------------------------- / 3 \/ 27 9 _______________________________________________________________ ____________________ _______________________________________________________________ _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ / / ____________________ / _______ / ____________________ / ____________________ / / ____________________ / _______ / ____________________ / / ____________________ / _______ / ____________________ / / ____________________ / _______ / / / _______ / 440 16*\/ 34113 / / _______ / / _______ / / / _______ / 440 16*\/ 34113 / / _______ / / / _______ / 440 16*\/ 34113 / / _______ / / / _______ / 440 16*\/ 34113 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / 4 / 440 16*\/ 34113 856 / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / - + 2*3 / --- + ------------ - --------------------------- / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / / 3 \/ 27 9 ____________________ / 3 \/ 27 9 ____________________ / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ / / / _______ / / _______ / / _______ / / / _______ / / _______ / / / _______ / / _______ / / / _______ / / / 440 16*\/ 34113 / / 440 16*\/ 34113 / / 440 16*\/ 34113 / / / 440 16*\/ 34113 / / 440 16*\/ 34113 / / / 440 16*\/ 34113 / / 440 16*\/ 34113 / / / 440 16*\/ 34113 / / 9*3 / --- + ------------ / 9*3 / --- + ------------ / 9*3 / --- + ------------ / / 9*3 / --- + ------------ / 9*3 / --- + ------------ / / 9*3 / --- + ------------ / 9*3 / --- + ------------ / / 9*3 / --- + ------------ \/ \/ \/ 27 9 \/ \/ 27 9 \/ \/ 27 9 \/ \/ \/ 27 9 \/ \/ 27 9 \/ \/ \/ 27 9 \/ \/ 27 9 \/ \/ \/ 27 9 -4 + ---------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------- + -4 - ------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------- + -4 + ------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------- + -4 + ------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2 2 2 2 2 2
=
-16
producto
/ ___________________________________________________________________________________________________________________________________________ \ / ___________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________\ | / ____________________ | | / ____________________ | | / ____________________ | | / ____________________ | | / / _______ | | / / _______ | | / / _______ | | / / _______ | | / 8 / 440 16*\/ 34113 64 856 | | / 8 / 440 16*\/ 34113 64 856 | | / 8 / 440 16*\/ 34113 64 856 | | / 8 / 440 16*\/ 34113 64 856 | | / - - 2*3 / --- + ------------ + ------------------------------------------------------------------------- + --------------------------- | | / - - 2*3 / --- + ------------ + ------------------------------------------------------------------------- + --------------------------- | | I* / - - + 2*3 / --- + ------------ + ------------------------------------------------------------------------- - --------------------------- | | I* / - - + 2*3 / --- + ------------ + ------------------------------------------------------------------------- - --------------------------- | | / 3 \/ 27 9 _______________________________________________________________ ____________________ _______________________________________________________________| | _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ | | _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ | | _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ | | / / ____________________ / _______ / ____________________ | | / ____________________ / / ____________________ / _______ | | / ____________________ / / ____________________ / _______ | | / ____________________ / / ____________________ / _______ | | / / / _______ / 440 16*\/ 34113 / / _______ | | / / _______ / / / _______ / 440 16*\/ 34113 | | / / _______ / / / _______ / 440 16*\/ 34113 | | / / _______ / / / _______ / 440 16*\/ 34113 | | / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / 4 / 440 16*\/ 34113 856 | | / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ | | / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ | | / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ | | / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / - + 2*3 / --- + ------------ - --------------------------- | | / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 | | / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 | | / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 | | / / 3 \/ 27 9 ____________________ / 3 \/ 27 9 ____________________ | | / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ | | / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ | | / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ | | / / / _______ / / _______ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / / 440 16*\/ 34113 / / 440 16*\/ 34113 | | / / 440 16*\/ 34113 / / / 440 16*\/ 34113 | | / / 440 16*\/ 34113 / / / 440 16*\/ 34113 | | / / 440 16*\/ 34113 / / / 440 16*\/ 34113 | | / / 9*3 / --- + ------------ / 9*3 / --- + ------------ | | / 9*3 / --- + ------------ / / 9*3 / --- + ------------ | | / 9*3 / --- + ------------ / / 9*3 / --- + ------------ | | / 9*3 / --- + ------------ / / 9*3 / --- + ------------ | | \/ \/ \/ 27 9 \/ \/ 27 9 | | \/ \/ 27 9 \/ \/ \/ 27 9 | | \/ \/ 27 9 \/ \/ \/ 27 9 | | \/ \/ 27 9 \/ \/ \/ 27 9 | |-4 + ---------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------|*|-4 - ------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------|*|-4 + ------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-4 + ------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
=
209
209
x1 = -1.13184988298839
x2 = -8.20608579329718
x3 = -3.33103216185721 + 3.37731244714114*i
x4 = -3.33103216185721 - 3.37731244714114*i
x4 = -3.33103216185721 - 3.37731244714114*i