El profesor se sorprenderá mucho al ver tu solución correcta😉
suma
_____________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________ / ______________________ / ______________________ / ______________________ / ______________________ / / _________ / / _________ / / _________ / / _________ / 32 / 4885 \/ 2689329 14 22 / 32 / 4885 \/ 2689329 14 22 / 32 / 4885 \/ 2689329 14 22 / 32 / 4885 \/ 2689329 14 22 / -- - 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------ + ----------------------------- I* / - -- + 2*3 / - ---- + ----------- + -------------------------------------------------------------------------------- - ----------------------------- I* / - -- + 2*3 / - ---- + ----------- + -------------------------------------------------------------------------------- - ----------------------------- / -- - 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------ + ----------------------------- / 3 \/ 432 144 ____________________________________________________________________ ______________________ ____________________________________________________________________ ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ ______________________ ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ ______________________ ____________________________________________________________________ / 3 \/ 432 144 ____________________________________________________________________ ______________________ / / ______________________ / _________ / ______________________ / | ______________________ | / / | ______________________ | / _________ / | ______________________ | / / | ______________________ | / _________ / ______________________ / / ______________________ / _________ / / / _________ / 4885 \/ 2689329 / / _________ / | / _________ | / / | / _________ | / 4885 \/ 2689329 / | / _________ | / / | / _________ | / 4885 \/ 2689329 / / _________ / / / _________ / 4885 \/ 2689329 / / 16 / 4885 \/ 2689329 22 9*3 / - ---- + ----------- / 16 / 4885 \/ 2689329 22 / |16 / 4885 \/ 2689329 22 | / / |16 / 4885 \/ 2689329 22 | 9*3 / - ---- + ----------- / |16 / 4885 \/ 2689329 22 | / / |16 / 4885 \/ 2689329 22 | 9*3 / - ---- + ----------- / 16 / 4885 \/ 2689329 22 / / 16 / 4885 \/ 2689329 22 9*3 / - ---- + ----------- / / -- + 2*3 / - ---- + ----------- - ----------------------------- \/ 432 144 / -- + 2*3 / - ---- + ----------- - ----------------------------- / |-- + 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 ______________________ / / / _________ / / _________ / | / _________ | / / | / _________ | / | / _________ | / / | / _________ | / / _________ / / / _________ / / / 4885 \/ 2689329 / / 4885 \/ 2689329 / | / 4885 \/ 2689329 | / / | / 4885 \/ 2689329 | / | / 4885 \/ 2689329 | / / | / 4885 \/ 2689329 | / / 4885 \/ 2689329 / / / 4885 \/ 2689329 / / 9*3 / - ---- + ----------- / 9*3 / - ---- + ----------- / | 9*3 / - ---- + ----------- | / / | 9*3 / - ---- + ----------- | / | 9*3 / - ---- + ----------- | / / | 9*3 / - ---- + ----------- | / 9*3 / - ---- + ----------- / / 9*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
=
______________________________________________________________________ ____________________________________________________________________ / | ______________________ | / ______________________ / | / _________ | / / _________ / |16 / 4885 \/ 2689329 22 | / 16 / 4885 \/ 2689329 22 / |-- + 2*3 / - ---- + ----------- - -----------------------------| - / -- + 2*3 / - ---- + ----------- - ----------------------------- / |3 \/ 432 144 ______________________| / 3 \/ 432 144 ______________________ / | / _________ | / / _________ / | / 4885 \/ 2689329 | / / 4885 \/ 2689329 / | 9*3 / - ---- + ----------- | / 9*3 / - ---- + ----------- \/ | \/ 432 144 | \/ \/ 432 144
producto
/ _____________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________________\ / _________________________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________________\ | / ______________________ | | / ______________________ | | / ______________________ | | / ______________________ | | / / _________ | | / / _________ | | / / _________ | | / / _________ | | / 32 / 4885 \/ 2689329 14 22 | | / 32 / 4885 \/ 2689329 14 22 | | / 32 / 4885 \/ 2689329 14 22 | | / 32 / 4885 \/ 2689329 14 22 | | / -- - 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------ + ----------------------------- | | I* / - -- + 2*3 / - ---- + ----------- + -------------------------------------------------------------------------------- - ----------------------------- | | I* / - -- + 2*3 / - ---- + ----------- + -------------------------------------------------------------------------------- - ----------------------------- | | / -- - 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------ + ----------------------------- | | / 3 \/ 432 144 ____________________________________________________________________ ______________________ ____________________________________________________________________| | ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ ______________________ | | ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ ______________________ | | ____________________________________________________________________ / 3 \/ 432 144 ____________________________________________________________________ ______________________ | | / / ______________________ / _________ / ______________________ | | / | ______________________ | / / | ______________________ | / _________ | | / | ______________________ | / / | ______________________ | / _________ | | / ______________________ / / ______________________ / _________ | | / / / _________ / 4885 \/ 2689329 / / _________ | | / | / _________ | / / | / _________ | / 4885 \/ 2689329 | | / | / _________ | / / | / _________ | / 4885 \/ 2689329 | | / / _________ / / / _________ / 4885 \/ 2689329 | | / / 16 / 4885 \/ 2689329 22 9*3 / - ---- + ----------- / 16 / 4885 \/ 2689329 22 | | / |16 / 4885 \/ 2689329 22 | / / |16 / 4885 \/ 2689329 22 | 9*3 / - ---- + ----------- | | / |16 / 4885 \/ 2689329 22 | / / |16 / 4885 \/ 2689329 22 | 9*3 / - ---- + ----------- | | / 16 / 4885 \/ 2689329 22 / / 16 / 4885 \/ 2689329 22 9*3 / - ---- + ----------- | | / / -- + 2*3 / - ---- + ----------- - ----------------------------- \/ 432 144 / -- + 2*3 / - ---- + ----------- - ----------------------------- | | / |-- + 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 ______________________ | | / / / _________ / / _________ | | / | / _________ | / / | / _________ | | | / | / _________ | / / | / _________ | | | / / _________ / / / _________ | | / / / 4885 \/ 2689329 / / 4885 \/ 2689329 | | / | / 4885 \/ 2689329 | / / | / 4885 \/ 2689329 | | | / | / 4885 \/ 2689329 | / / | / 4885 \/ 2689329 | | | / / 4885 \/ 2689329 / / / 4885 \/ 2689329 | | / / 9*3 / - ---- + ----------- / 9*3 / - ---- + ----------- | | / | 9*3 / - ---- + ----------- | / / | 9*3 / - ---- + ----------- | | | / | 9*3 / - ---- + ----------- | / / | 9*3 / - ---- + ----------- | | | / 9*3 / - ---- + ----------- / / 9*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 /
=
-9
-9
_____________________________________________________________________________________________________________________________________________________ / ______________________ / / _________ / 32 / 4885 \/ 2689329 14 22 / -- - 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------ + ----------------------------- / 3 \/ 432 144 ____________________________________________________________________ ______________________ ____________________________________________________________________ / / ______________________ / _________ / ______________________ / / / _________ / 4885 \/ 2689329 / / _________ / / 16 / 4885 \/ 2689329 22 9*3 / - ---- + ----------- / 16 / 4885 \/ 2689329 22 / / -- + 2*3 / - ---- + ----------- - ----------------------------- \/ 432 144 / -- + 2*3 / - ---- + ----------- - ----------------------------- / / 3 \/ 432 144 ______________________ / 3 \/ 432 144 ______________________ / / / _________ / / _________ / / / 4885 \/ 2689329 / / 4885 \/ 2689329 / / 9*3 / - ---- + ----------- / 9*3 / - ---- + ----------- \/ \/ \/ 432 144 \/ \/ 432 144 x1 = -------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------ 2 2
_________________________________________________________________________________________________________________________________________________________ / ______________________ / / _________ / 32 / 4885 \/ 2689329 14 22 I* / - -- + 2*3 / - ---- + ----------- + -------------------------------------------------------------------------------- - ----------------------------- ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ ______________________ / | ______________________ | / / | ______________________ | / _________ / | / _________ | / / | / _________ | / 4885 \/ 2689329 / |16 / 4885 \/ 2689329 22 | / / |16 / 4885 \/ 2689329 22 | 9*3 / - ---- + ----------- / |-- + 2*3 / - ---- + ----------- - -----------------------------| / / |-- + 2*3 / - ---- + ----------- - -----------------------------| \/ 432 144 / |3 \/ 432 144 ______________________| / / |3 \/ 432 144 ______________________| / | / _________ | / / | / _________ | / | / 4885 \/ 2689329 | / / | / 4885 \/ 2689329 | / | 9*3 / - ---- + ----------- | / / | 9*3 / - ---- + ----------- | \/ | \/ 432 144 | \/ \/ | \/ 432 144 | x2 = -------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2
_________________________________________________________________________________________________________________________________________________________ / ______________________ / / _________ / 32 / 4885 \/ 2689329 14 22 I* / - -- + 2*3 / - ---- + ----------- + -------------------------------------------------------------------------------- - ----------------------------- ______________________________________________________________________ / 3 \/ 432 144 ______________________________________________________________________ ______________________ / | ______________________ | / / | ______________________ | / _________ / | / _________ | / / | / _________ | / 4885 \/ 2689329 / |16 / 4885 \/ 2689329 22 | / / |16 / 4885 \/ 2689329 22 | 9*3 / - ---- + ----------- / |-- + 2*3 / - ---- + ----------- - -----------------------------| / / |-- + 2*3 / - ---- + ----------- - -----------------------------| \/ 432 144 / |3 \/ 432 144 ______________________| / / |3 \/ 432 144 ______________________| / | / _________ | / / | / _________ | / | / 4885 \/ 2689329 | / / | / 4885 \/ 2689329 | / | 9*3 / - ---- + ----------- | / / | 9*3 / - ---- + ----------- | \/ | \/ 432 144 | \/ \/ | \/ 432 144 | x3 = -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2
_____________________________________________________________________________________________________________________________________________________ / ______________________ / / _________ / 32 / 4885 \/ 2689329 14 22 / -- - 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------ + ----------------------------- ____________________________________________________________________ / 3 \/ 432 144 ____________________________________________________________________ ______________________ / ______________________ / / ______________________ / _________ / / _________ / / / _________ / 4885 \/ 2689329 / 16 / 4885 \/ 2689329 22 / / 16 / 4885 \/ 2689329 22 9*3 / - ---- + ----------- / -- + 2*3 / - ---- + ----------- - ----------------------------- / / -- + 2*3 / - ---- + ----------- - ----------------------------- \/ 432 144 / 3 \/ 432 144 ______________________ / / 3 \/ 432 144 ______________________ / / _________ / / / _________ / / 4885 \/ 2689329 / / / 4885 \/ 2689329 / 9*3 / - ---- + ----------- / / 9*3 / - ---- + ----------- \/ \/ 432 144 \/ \/ \/ 432 144 x4 = - ------------------------------------------------------------------------------ - -------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2
x4 = -sqrt(-2*(-4885/432 + sqrt(2689329)/144)^(1/3) + 22/(9*(-4885/432 + sqrt(2689329)/144)^(1/3)) + 32/3 + 14/sqrt(-22/(9*(-4885/432 + sqrt(2689329)/144)^(1/3)) + 2*(-4885/432 + sqrt(2689329)/144)^(1/3) + 16/3))/2 - sqrt(-22/(9*(-4885/432 + sqrt(2689329)/144)^(1/3)) + 2*(-4885/432 + sqrt(2689329)/144)^(1/3) + 16/3)/2
x1 = 2.57660520509834
x2 = -3.30744173890609
x3 = 0.365418266903876 + 0.960501498898388*i
x4 = 0.365418266903876 - 0.960501498898388*i
x4 = 0.365418266903876 - 0.960501498898388*i