SOLUTION: x=(-1/2+(root 3)/2 i))^5 + (-1/2-(root 3)/2 i))^5

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Question 586692: x=(-1/2+(root 3)/2 i))^5 + (-1/2-(root 3)/2 i))^5
Answer by ad_alta(240) About Me  (Show Source):
You can put this solution on YOUR website!
This problem looks really nasty, but it isn't that bad. The first term comes to -1/2-[sqrt(3)/2]*i, and the second is simply the complex conjugate. Thus, the answer is -1.