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1 - x*2 ----------------- = 15233 2 / 2 \ x *\x - 2*x + 1/
_______________________________________________________________________________________________________________________________________________________________________________________ / _____________________________ / / ___________ / 2 / 232044343 \/ 174033237 1 4 / - - 2*3 / ----------- + ------------- - ------------------------------------- + -------------------------------------------------------------------------------------------------- __________________________________________________________________________________ / 3 \/ 50121566424 4176797202 _____________________________ __________________________________________________________________________________ / _____________________________ / / ___________ / _____________________________ / / ___________ / / 232044343 \/ 174033237 / / ___________ / 1 / 232044343 \/ 174033237 1 / 18*3 / ----------- + ------------- / 1 / 232044343 \/ 174033237 1 / - + 2*3 / ----------- + ------------- + ------------------------------------- / \/ 50121566424 4176797202 15233* / - + 2*3 / ----------- + ------------- + ------------------------------------- / 3 \/ 50121566424 4176797202 _____________________________ / / 3 \/ 50121566424 4176797202 _____________________________ / / ___________ / / / ___________ / / 232044343 \/ 174033237 / / / 232044343 \/ 174033237 / 18*3 / ----------- + ------------- / / 18*3 / ----------- + ------------- 1 \/ \/ 50121566424 4176797202 \/ \/ \/ 50121566424 4176797202 x1 = - - -------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 2 2 2
_______________________________________________________________________________________________________________________________________________________________________________________ / _____________________________ / / ___________ / 2 / 232044343 \/ 174033237 1 4 / - - 2*3 / ----------- + ------------- - ------------------------------------- + -------------------------------------------------------------------------------------------------- / 3 \/ 50121566424 4176797202 _____________________________ __________________________________________________________________________________ __________________________________________________________________________________ / / ___________ / _____________________________ / _____________________________ / / 232044343 \/ 174033237 / / ___________ / / ___________ / 18*3 / ----------- + ------------- / 1 / 232044343 \/ 174033237 1 / 1 / 232044343 \/ 174033237 1 / \/ 50121566424 4176797202 15233* / - + 2*3 / ----------- + ------------- + ------------------------------------- / - + 2*3 / ----------- + ------------- + ------------------------------------- / / 3 \/ 50121566424 4176797202 _____________________________ / 3 \/ 50121566424 4176797202 _____________________________ / / / ___________ / / ___________ / / / 232044343 \/ 174033237 / / 232044343 \/ 174033237 / / 18*3 / ----------- + ------------- / 18*3 / ----------- + ------------- 1 \/ \/ \/ 50121566424 4176797202 \/ \/ 50121566424 4176797202 x2 = - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------------------- 2 2 2
_________________________________________________________________________________________________________________________________________________________________________________________ / _____________________________ / / ___________ / 2 / 232044343 \/ 174033237 1 4 I* / - - + 2*3 / ----------- + ------------- + ------------------------------------- + -------------------------------------------------------------------------------------------------- __________________________________________________________________________________ / 3 \/ 50121566424 4176797202 _____________________________ __________________________________________________________________________________ / _____________________________ / / ___________ / _____________________________ / / ___________ / / 232044343 \/ 174033237 / / ___________ / 1 / 232044343 \/ 174033237 1 / 18*3 / ----------- + ------------- / 1 / 232044343 \/ 174033237 1 / - + 2*3 / ----------- + ------------- + ------------------------------------- / \/ 50121566424 4176797202 15233* / - + 2*3 / ----------- + ------------- + ------------------------------------- / 3 \/ 50121566424 4176797202 _____________________________ / / 3 \/ 50121566424 4176797202 _____________________________ / / ___________ / / / ___________ / / 232044343 \/ 174033237 / / / 232044343 \/ 174033237 / 18*3 / ----------- + ------------- / / 18*3 / ----------- + ------------- 1 \/ \/ 50121566424 4176797202 \/ \/ \/ 50121566424 4176797202 x3 = - + -------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
_________________________________________________________________________________________________________________________________________________________________________________________ / _____________________________ / / ___________ / 2 / 232044343 \/ 174033237 1 4 I* / - - + 2*3 / ----------- + ------------- + ------------------------------------- + -------------------------------------------------------------------------------------------------- __________________________________________________________________________________ / 3 \/ 50121566424 4176797202 _____________________________ __________________________________________________________________________________ / _____________________________ / / ___________ / _____________________________ / / ___________ / / 232044343 \/ 174033237 / / ___________ / 1 / 232044343 \/ 174033237 1 / 18*3 / ----------- + ------------- / 1 / 232044343 \/ 174033237 1 / - + 2*3 / ----------- + ------------- + ------------------------------------- / \/ 50121566424 4176797202 15233* / - + 2*3 / ----------- + ------------- + ------------------------------------- / 3 \/ 50121566424 4176797202 _____________________________ / / 3 \/ 50121566424 4176797202 _____________________________ / / ___________ / / / ___________ / / 232044343 \/ 174033237 / / / 232044343 \/ 174033237 / 18*3 / ----------- + ------------- / / 18*3 / ----------- + ------------- 1 \/ \/ 50121566424 4176797202 \/ \/ \/ 50121566424 4176797202 x4 = - + -------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2
x4 = 1/2 + sqrt(1/(18*(sqrt(174033237)/4176797202 + 232044343/50121566424)^(1/3)) + 1/3 + 2*(sqrt(174033237)/4176797202 + 232044343/50121566424)^(1/3))/2 + i*sqrt(-2/3 + 4/(15233*sqrt(1/(18*(sqrt(174033237)/4176797202 + 232044343/50121566424)^(1/3)) + 1/3 + 2*(sqrt(174033237)/4176797202 + 232044343/50121566424)^(1/3))) + 1/(18*(sqrt(174033237)/4176797202 + 232044343/50121566424)^(1/3)) + 2*(sqrt(174033237)/4176797202 + 232044343/50121566424)^(1/3))/2
suma
_______________________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________________________________________ / _____________________________ / _____________________________ / _____________________________ / _____________________________ / / ___________ / / ___________ / / ___________ / / ___________ / 2 / 232044343 \/ 174033237 1 4 / 2 / 232044343 \/ 174033237 1 4 / 2 / 232044343 \/ 174033237 1 4 / 2 / 232044343 \/ 174033237 1 4 / - - 2*3 / ----------- + ------------- - ------------------------------------- + -------------------------------------------------------------------------------------------------- / - - 2*3 / ----------- + ------------- - ------------------------------------- + -------------------------------------------------------------------------------------------------- I* / - - + 2*3 / ----------- + ------------- + ------------------------------------- + -------------------------------------------------------------------------------------------------- I* / - - + 2*3 / ----------- + ------------- + ------------------------------------- + -------------------------------------------------------------------------------------------------- __________________________________________________________________________________ / 3 \/ 50121566424 4176797202 _____________________________ __________________________________________________________________________________ / 3 \/ 50121566424 4176797202 _____________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ / 3 \/ 50121566424 4176797202 _____________________________ __________________________________________________________________________________ __________________________________________________________________________________ / 3 \/ 50121566424 4176797202 _____________________________ __________________________________________________________________________________ / _____________________________ / / ___________ / _____________________________ / / ___________ / _____________________________ / _____________________________ / _____________________________ / / ___________ / _____________________________ / _____________________________ / / ___________ / _____________________________ / / ___________ / / 232044343 \/ 174033237 / / ___________ / / 232044343 \/ 174033237 / / ___________ / / ___________ / / ___________ / / 232044343 \/ 174033237 / / ___________ / / ___________ / / 232044343 \/ 174033237 / / ___________ / 1 / 232044343 \/ 174033237 1 / 18*3 / ----------- + ------------- / 1 / 232044343 \/ 174033237 1 / 18*3 / ----------- + ------------- / 1 / 232044343 \/ 174033237 1 / 1 / 232044343 \/ 174033237 1 / 1 / 232044343 \/ 174033237 1 / 18*3 / ----------- + ------------- / 1 / 232044343 \/ 174033237 1 / 1 / 232044343 \/ 174033237 1 / 18*3 / ----------- + ------------- / 1 / 232044343 \/ 174033237 1 / - + 2*3 / ----------- + ------------- + ------------------------------------- / \/ 50121566424 4176797202 15233* / - + 2*3 / ----------- + ------------- + ------------------------------------- / \/ 50121566424 4176797202 15233* / - + 2*3 / ----------- + ------------- + ------------------------------------- / - + 2*3 / ----------- + ------------- + ------------------------------------- / - + 2*3 / ----------- + ------------- + ------------------------------------- / \/ 50121566424 4176797202 15233* / - + 2*3 / ----------- + ------------- + ------------------------------------- / - + 2*3 / ----------- + ------------- + ------------------------------------- / \/ 50121566424 4176797202 15233* / - + 2*3 / ----------- + ------------- + ------------------------------------- / 3 \/ 50121566424 4176797202 _____________________________ / / 3 \/ 50121566424 4176797202 _____________________________ / / 3 \/ 50121566424 4176797202 _____________________________ / 3 \/ 50121566424 4176797202 _____________________________ / 3 \/ 50121566424 4176797202 _____________________________ / / 3 \/ 50121566424 4176797202 _____________________________ / 3 \/ 50121566424 4176797202 _____________________________ / / 3 \/ 50121566424 4176797202 _____________________________ / / ___________ / / / ___________ / / / ___________ / / ___________ / / ___________ / / / ___________ / / ___________ / / / ___________ / / 232044343 \/ 174033237 / / / 232044343 \/ 174033237 / / / 232044343 \/ 174033237 / / 232044343 \/ 174033237 / / 232044343 \/ 174033237 / / / 232044343 \/ 174033237 / / 232044343 \/ 174033237 / / / 232044343 \/ 174033237 / 18*3 / ----------- + ------------- / / 18*3 / ----------- + ------------- / / 18*3 / ----------- + ------------- / 18*3 / ----------- + ------------- / 18*3 / ----------- + ------------- / / 18*3 / ----------- + ------------- / 18*3 / ----------- + ------------- / / 18*3 / ----------- + ------------- 1 \/ \/ 50121566424 4176797202 \/ \/ \/ 50121566424 4176797202 1 \/ \/ \/ 50121566424 4176797202 \/ \/ 50121566424 4176797202 1 \/ \/ 50121566424 4176797202 \/ \/ \/ 50121566424 4176797202 1 \/ \/ 50121566424 4176797202 \/ \/ \/ 50121566424 4176797202 - - -------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------------------- + - + -------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + -------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 2 2 2 2 2 2 2 2 2 2
=
2
producto
/ _______________________________________________________________________________________________________________________________________________________________________________________\ / _______________________________________________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________________________________________________\ / _________________________________________________________________________________________________________________________________________________________________________________________\ | / _____________________________ | | / _____________________________ | | / _____________________________ | | / _____________________________ | | / / ___________ | | / / ___________ | | / / ___________ | | / / ___________ | | / 2 / 232044343 \/ 174033237 1 4 | | / 2 / 232044343 \/ 174033237 1 4 | | / 2 / 232044343 \/ 174033237 1 4 | | / 2 / 232044343 \/ 174033237 1 4 | | / - - 2*3 / ----------- + ------------- - ------------------------------------- + -------------------------------------------------------------------------------------------------- | | / - - 2*3 / ----------- + ------------- - ------------------------------------- + -------------------------------------------------------------------------------------------------- | | I* / - - + 2*3 / ----------- + ------------- + ------------------------------------- + -------------------------------------------------------------------------------------------------- | | I* / - - + 2*3 / ----------- + ------------- + ------------------------------------- + -------------------------------------------------------------------------------------------------- | | __________________________________________________________________________________ / 3 \/ 50121566424 4176797202 _____________________________ __________________________________________________________________________________ | | / 3 \/ 50121566424 4176797202 _____________________________ __________________________________________________________________________________ __________________________________________________________________________________| | __________________________________________________________________________________ / 3 \/ 50121566424 4176797202 _____________________________ __________________________________________________________________________________ | | __________________________________________________________________________________ / 3 \/ 50121566424 4176797202 _____________________________ __________________________________________________________________________________ | | / _____________________________ / / ___________ / _____________________________ | | / / ___________ / _____________________________ / _____________________________ | | / _____________________________ / / ___________ / _____________________________ | | / _____________________________ / / ___________ / _____________________________ | | / / ___________ / / 232044343 \/ 174033237 / / ___________ | | / / 232044343 \/ 174033237 / / ___________ / / ___________ | | / / ___________ / / 232044343 \/ 174033237 / / ___________ | | / / ___________ / / 232044343 \/ 174033237 / / ___________ | | / 1 / 232044343 \/ 174033237 1 / 18*3 / ----------- + ------------- / 1 / 232044343 \/ 174033237 1 | | / 18*3 / ----------- + ------------- / 1 / 232044343 \/ 174033237 1 / 1 / 232044343 \/ 174033237 1 | | / 1 / 232044343 \/ 174033237 1 / 18*3 / ----------- + ------------- / 1 / 232044343 \/ 174033237 1 | | / 1 / 232044343 \/ 174033237 1 / 18*3 / ----------- + ------------- / 1 / 232044343 \/ 174033237 1 | | / - + 2*3 / ----------- + ------------- + ------------------------------------- / \/ 50121566424 4176797202 15233* / - + 2*3 / ----------- + ------------- + ------------------------------------- | | / \/ 50121566424 4176797202 15233* / - + 2*3 / ----------- + ------------- + ------------------------------------- / - + 2*3 / ----------- + ------------- + ------------------------------------- | | / - + 2*3 / ----------- + ------------- + ------------------------------------- / \/ 50121566424 4176797202 15233* / - + 2*3 / ----------- + ------------- + ------------------------------------- | | / - + 2*3 / ----------- + ------------- + ------------------------------------- / \/ 50121566424 4176797202 15233* / - + 2*3 / ----------- + ------------- + ------------------------------------- | | / 3 \/ 50121566424 4176797202 _____________________________ / / 3 \/ 50121566424 4176797202 _____________________________ | | / / 3 \/ 50121566424 4176797202 _____________________________ / 3 \/ 50121566424 4176797202 _____________________________ | | / 3 \/ 50121566424 4176797202 _____________________________ / / 3 \/ 50121566424 4176797202 _____________________________ | | / 3 \/ 50121566424 4176797202 _____________________________ / / 3 \/ 50121566424 4176797202 _____________________________ | | / / ___________ / / / ___________ | | / / / ___________ / / ___________ | | / / ___________ / / / ___________ | | / / ___________ / / / ___________ | | / / 232044343 \/ 174033237 / / / 232044343 \/ 174033237 | | / / / 232044343 \/ 174033237 / / 232044343 \/ 174033237 | | / / 232044343 \/ 174033237 / / / 232044343 \/ 174033237 | | / / 232044343 \/ 174033237 / / / 232044343 \/ 174033237 | | / 18*3 / ----------- + ------------- / / 18*3 / ----------- + ------------- | | / / 18*3 / ----------- + ------------- / 18*3 / ----------- + ------------- | | / 18*3 / ----------- + ------------- / / 18*3 / ----------- + ------------- | | / 18*3 / ----------- + ------------- / / 18*3 / ----------- + ------------- | |1 \/ \/ 50121566424 4176797202 \/ \/ \/ 50121566424 4176797202 | |1 \/ \/ \/ 50121566424 4176797202 \/ \/ 50121566424 4176797202 | |1 \/ \/ 50121566424 4176797202 \/ \/ \/ 50121566424 4176797202 | |1 \/ \/ 50121566424 4176797202 \/ \/ \/ 50121566424 4176797202 | |- - -------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------|*|- + -------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + -------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \2 2 2 / \2 2 2 / \2 2 2 / \2 2 2 /
=
-1/15233
-1/15233
x1 = 1.00000000430952 - 0.00810254649201802*i
x2 = 1.00000000430952 + 0.00810254649201802*i
x3 = -0.00810201891154155
x4 = 0.00810201029249761
x4 = 0.00810201029249761