using-De-Moivre-theorem-solve-the-equation-x-1-5-x-1-5-0-

Question Number 13005 by 1630321995 last updated on 10/May/17

u s i n g D e M o i v r e t h e o r e m s o l v e t h e e q u a t i o n {(x + 1)}^{5} + {(x - 1)}^{5} = 0

Answered by mrW1 last updated on 10/May/17

{(x + 1)}^{5} - {(1 - x)}^{5} = 0

{(x + 1)}^{5} = {(1 - x)}^{5}

x + 1 = 1 - x

2 x = 0

\Rightarrow x = 0

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