﻿ If ω ≠ 1 is a cube root of unity and (ω + x)n = 1 + 12ω + 69ω +…. Then values of n and x are respectively. : Kaysons Education

# If ω ≠ 1 Is A Cube Root Of Unity And (ω + x)n = 1 + 12ω + 69ω +…. Then Values Of n and x are Respectively.

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## Question

### Solution

Correct option is

24, 1/2

As ωn = 1, n must be a multiple of 3. Let n = 3m. Then

Thus, n = 24 and x = 1/2

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