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If alpha and beta are the complex cube roots of unity show that alpha4+ beta4+ alpha-1 beta-1 = 0.

If alpha and beta are the complex cube roots of unity show that alpha4+ beta4+ alpha-1 beta-1 = 0.

Grade:11

1 Answers

Ashish bedi
54 Points
7 years ago
The complex cube root of unity are w and w^2 and 1+w+w^2=0 and w^3=1 use these two equations and get answer.

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