Question
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