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Question: If w and w<sup>2</sup> are complex cube roots of unity, then 1 –2w<sup>2</sup> is a root of...

If w and w2 are complex cube roots of unity, then 1 –2w2 is a root of

A

x3 –1 = 0

B

(x –1)3 + 8 = 0

C

x3 + 1 = 0

D

(x –1)3 – 8 = 0

Answer

(x –1)3 + 8 = 0

Explanation

Solution

Sol. x = 1– 2w2 Ž (x –1)3 = (–2w2)3 = –8Ž (x –1)3 + 8 = 0