El profesor se sorprenderá mucho al ver tu solución correcta😉
2 2 4*(x + 2)*(3 - 2*x) = (x + 3) *(x - 2)
____________________________________________________________________________________________________________________________________ / __________________ / / _____ / / 95 2*I*\/ 669 8 67 I* / -6 + 2*3 / -- + ----------- + --------------------------------------------------------------------- + ------------------------- ___________________________________________________________ / \/ 8 9 ___________________________________________________________ __________________ / __________________ / / __________________ / _____ / / _____ / / / _____ / 95 2*I*\/ 669 / / 95 2*I*\/ 669 67 / / / 95 2*I*\/ 669 67 6*3 / -- + ----------- / 3 + 2*3 / -- + ----------- + ------------------------- / / 3 + 2*3 / -- + ----------- + ------------------------- \/ 8 9 / \/ 8 9 __________________ / / \/ 8 9 __________________ / / _____ / / / _____ / / 95 2*I*\/ 669 / / / 95 2*I*\/ 669 / 6*3 / -- + ----------- / / 6*3 / -- + ----------- 1 \/ \/ 8 9 \/ \/ \/ 8 9 x1 = - - - --------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
____________________________________________________________________________________________________________________________________ / __________________ / / _____ / 8 / 95 2*I*\/ 669 67 I* / -6 - --------------------------------------------------------------------- + 2*3 / -- + ----------- + ------------------------- ___________________________________________________________ / ___________________________________________________________ \/ 8 9 __________________ / __________________ / / __________________ / _____ / / _____ / / / _____ / 95 2*I*\/ 669 / / 95 2*I*\/ 669 67 / / / 95 2*I*\/ 669 67 6*3 / -- + ----------- / 3 + 2*3 / -- + ----------- + ------------------------- / / 3 + 2*3 / -- + ----------- + ------------------------- \/ 8 9 / \/ 8 9 __________________ / / \/ 8 9 __________________ / / _____ / / / _____ / / 95 2*I*\/ 669 / / / 95 2*I*\/ 669 / 6*3 / -- + ----------- / / 6*3 / -- + ----------- 1 \/ \/ 8 9 \/ \/ \/ 8 9 x2 = - - + --------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
____________________________________________________________________________________________________________________________________ / __________________ / / _____ / / 95 2*I*\/ 669 8 67 I* / -6 + 2*3 / -- + ----------- + --------------------------------------------------------------------- + ------------------------- ___________________________________________________________ / \/ 8 9 ___________________________________________________________ __________________ / __________________ / / __________________ / _____ / / _____ / / / _____ / 95 2*I*\/ 669 / / 95 2*I*\/ 669 67 / / / 95 2*I*\/ 669 67 6*3 / -- + ----------- / 3 + 2*3 / -- + ----------- + ------------------------- / / 3 + 2*3 / -- + ----------- + ------------------------- \/ 8 9 / \/ 8 9 __________________ / / \/ 8 9 __________________ / / _____ / / / _____ / / 95 2*I*\/ 669 / / / 95 2*I*\/ 669 / 6*3 / -- + ----------- / / 6*3 / -- + ----------- 1 \/ \/ 8 9 \/ \/ \/ 8 9 x3 = - - - --------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
____________________________________________________________________________________________________________________________________ / __________________ / / _____ / 8 / 95 2*I*\/ 669 67 I* / -6 - --------------------------------------------------------------------- + 2*3 / -- + ----------- + ------------------------- ___________________________________________________________ / ___________________________________________________________ \/ 8 9 __________________ / __________________ / / __________________ / _____ / / _____ / / / _____ / 95 2*I*\/ 669 / / 95 2*I*\/ 669 67 / / / 95 2*I*\/ 669 67 6*3 / -- + ----------- / 3 + 2*3 / -- + ----------- + ------------------------- / / 3 + 2*3 / -- + ----------- + ------------------------- \/ 8 9 / \/ 8 9 __________________ / / \/ 8 9 __________________ / / _____ / / / _____ / / 95 2*I*\/ 669 / / / 95 2*I*\/ 669 / 6*3 / -- + ----------- / / 6*3 / -- + ----------- 1 \/ \/ 8 9 \/ \/ \/ 8 9 x4 = - - + --------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
x4 = -1/2 + sqrt(3 + 67/(6*(95/8 + 2*sqrt(669)*i/9)^(1/3)) + 2*(95/8 + 2*sqrt(669)*i/9)^(1/3))/2 + i*sqrt(-6 + 67/(6*(95/8 + 2*sqrt(669)*i/9)^(1/3)) - 8/sqrt(3 + 67/(6*(95/8 + 2*sqrt(669)*i/9)^(1/3)) + 2*(95/8 + 2*sqrt(669)*i/9)^(1/3)) + 2*(95/8 + 2*sqrt(669)*i/9)^(1/3))/2
suma
____________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________ / __________________ / __________________ / __________________ / __________________ / / _____ / / _____ / / _____ / / _____ / / 95 2*I*\/ 669 8 67 / 8 / 95 2*I*\/ 669 67 / / 95 2*I*\/ 669 8 67 / 8 / 95 2*I*\/ 669 67 I* / -6 + 2*3 / -- + ----------- + --------------------------------------------------------------------- + ------------------------- I* / -6 - --------------------------------------------------------------------- + 2*3 / -- + ----------- + ------------------------- I* / -6 + 2*3 / -- + ----------- + --------------------------------------------------------------------- + ------------------------- I* / -6 - --------------------------------------------------------------------- + 2*3 / -- + ----------- + ------------------------- ___________________________________________________________ / \/ 8 9 ___________________________________________________________ __________________ ___________________________________________________________ / ___________________________________________________________ \/ 8 9 __________________ ___________________________________________________________ / \/ 8 9 ___________________________________________________________ __________________ ___________________________________________________________ / ___________________________________________________________ \/ 8 9 __________________ / __________________ / / __________________ / _____ / __________________ / / __________________ / _____ / __________________ / / __________________ / _____ / __________________ / / __________________ / _____ / / _____ / / / _____ / 95 2*I*\/ 669 / / _____ / / / _____ / 95 2*I*\/ 669 / / _____ / / / _____ / 95 2*I*\/ 669 / / _____ / / / _____ / 95 2*I*\/ 669 / / 95 2*I*\/ 669 67 / / / 95 2*I*\/ 669 67 6*3 / -- + ----------- / / 95 2*I*\/ 669 67 / / / 95 2*I*\/ 669 67 6*3 / -- + ----------- / / 95 2*I*\/ 669 67 / / / 95 2*I*\/ 669 67 6*3 / -- + ----------- / / 95 2*I*\/ 669 67 / / / 95 2*I*\/ 669 67 6*3 / -- + ----------- / 3 + 2*3 / -- + ----------- + ------------------------- / / 3 + 2*3 / -- + ----------- + ------------------------- \/ 8 9 / 3 + 2*3 / -- + ----------- + ------------------------- / / 3 + 2*3 / -- + ----------- + ------------------------- \/ 8 9 / 3 + 2*3 / -- + ----------- + ------------------------- / / 3 + 2*3 / -- + ----------- + ------------------------- \/ 8 9 / 3 + 2*3 / -- + ----------- + ------------------------- / / 3 + 2*3 / -- + ----------- + ------------------------- \/ 8 9 / \/ 8 9 __________________ / / \/ 8 9 __________________ / \/ 8 9 __________________ / / \/ 8 9 __________________ / \/ 8 9 __________________ / / \/ 8 9 __________________ / \/ 8 9 __________________ / / \/ 8 9 __________________ / / _____ / / / _____ / / _____ / / / _____ / / _____ / / / _____ / / _____ / / / _____ / / 95 2*I*\/ 669 / / / 95 2*I*\/ 669 / / 95 2*I*\/ 669 / / / 95 2*I*\/ 669 / / 95 2*I*\/ 669 / / / 95 2*I*\/ 669 / / 95 2*I*\/ 669 / / / 95 2*I*\/ 669 / 6*3 / -- + ----------- / / 6*3 / -- + ----------- / 6*3 / -- + ----------- / / 6*3 / -- + ----------- / 6*3 / -- + ----------- / / 6*3 / -- + ----------- / 6*3 / -- + ----------- / / 6*3 / -- + ----------- 1 \/ \/ 8 9 \/ \/ \/ 8 9 1 \/ \/ 8 9 \/ \/ \/ 8 9 1 \/ \/ 8 9 \/ \/ \/ 8 9 1 \/ \/ 8 9 \/ \/ \/ 8 9 - - - --------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------- + - - + --------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------- + - - - --------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------- + - - + --------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2 2 2 2 2 2 2 2 2 2
=
-2
producto
/ ____________________________________________________________________________________________________________________________________\ / ____________________________________________________________________________________________________________________________________\ / ____________________________________________________________________________________________________________________________________\ / ____________________________________________________________________________________________________________________________________\ | / __________________ | | / __________________ | | / __________________ | | / __________________ | | / / _____ | | / / _____ | | / / _____ | | / / _____ | | / / 95 2*I*\/ 669 8 67 | | / 8 / 95 2*I*\/ 669 67 | | / / 95 2*I*\/ 669 8 67 | | / 8 / 95 2*I*\/ 669 67 | | I* / -6 + 2*3 / -- + ----------- + --------------------------------------------------------------------- + ------------------------- | | I* / -6 - --------------------------------------------------------------------- + 2*3 / -- + ----------- + ------------------------- | | I* / -6 + 2*3 / -- + ----------- + --------------------------------------------------------------------- + ------------------------- | | I* / -6 - --------------------------------------------------------------------- + 2*3 / -- + ----------- + ------------------------- | | ___________________________________________________________ / \/ 8 9 ___________________________________________________________ __________________ | | ___________________________________________________________ / ___________________________________________________________ \/ 8 9 __________________ | | ___________________________________________________________ / \/ 8 9 ___________________________________________________________ __________________ | | ___________________________________________________________ / ___________________________________________________________ \/ 8 9 __________________ | | / __________________ / / __________________ / _____ | | / __________________ / / __________________ / _____ | | / __________________ / / __________________ / _____ | | / __________________ / / __________________ / _____ | | / / _____ / / / _____ / 95 2*I*\/ 669 | | / / _____ / / / _____ / 95 2*I*\/ 669 | | / / _____ / / / _____ / 95 2*I*\/ 669 | | / / _____ / / / _____ / 95 2*I*\/ 669 | | / / 95 2*I*\/ 669 67 / / / 95 2*I*\/ 669 67 6*3 / -- + ----------- | | / / 95 2*I*\/ 669 67 / / / 95 2*I*\/ 669 67 6*3 / -- + ----------- | | / / 95 2*I*\/ 669 67 / / / 95 2*I*\/ 669 67 6*3 / -- + ----------- | | / / 95 2*I*\/ 669 67 / / / 95 2*I*\/ 669 67 6*3 / -- + ----------- | | / 3 + 2*3 / -- + ----------- + ------------------------- / / 3 + 2*3 / -- + ----------- + ------------------------- \/ 8 9 | | / 3 + 2*3 / -- + ----------- + ------------------------- / / 3 + 2*3 / -- + ----------- + ------------------------- \/ 8 9 | | / 3 + 2*3 / -- + ----------- + ------------------------- / / 3 + 2*3 / -- + ----------- + ------------------------- \/ 8 9 | | / 3 + 2*3 / -- + ----------- + ------------------------- / / 3 + 2*3 / -- + ----------- + ------------------------- \/ 8 9 | | / \/ 8 9 __________________ / / \/ 8 9 __________________ | | / \/ 8 9 __________________ / / \/ 8 9 __________________ | | / \/ 8 9 __________________ / / \/ 8 9 __________________ | | / \/ 8 9 __________________ / / \/ 8 9 __________________ | | / / _____ / / / _____ | | / / _____ / / / _____ | | / / _____ / / / _____ | | / / _____ / / / _____ | | / / 95 2*I*\/ 669 / / / 95 2*I*\/ 669 | | / / 95 2*I*\/ 669 / / / 95 2*I*\/ 669 | | / / 95 2*I*\/ 669 / / / 95 2*I*\/ 669 | | / / 95 2*I*\/ 669 / / / 95 2*I*\/ 669 | | / 6*3 / -- + ----------- / / 6*3 / -- + ----------- | | / 6*3 / -- + ----------- / / 6*3 / -- + ----------- | | / 6*3 / -- + ----------- / / 6*3 / -- + ----------- | | / 6*3 / -- + ----------- / / 6*3 / -- + ----------- | | 1 \/ \/ 8 9 \/ \/ \/ 8 9 | | 1 \/ \/ 8 9 \/ \/ \/ 8 9 | | 1 \/ \/ 8 9 \/ \/ \/ 8 9 | | 1 \/ \/ 8 9 \/ \/ \/ 8 9 | |- - - --------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------|*|- - + --------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------|*|- - - --------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------|*|- - + --------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 2 / \ 2 2 2 / \ 2 2 2 / \ 2 2 2 /
=
12
12
x1 = 1.25678182706951 + 0.516778232852078*i
x2 = -2.25678182706951 - 1.18553997566243*i
x3 = 1.25678182706951 - 0.516778232852078*i
x4 = -2.25678182706951 + 1.18553997566243*i
x4 = -2.25678182706951 + 1.18553997566243*i