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Let omega be an imaginary root of x^(n)=...

Let `omega` be an imaginary root of `x^(n)=1`. Then `(5-omega)(5-omega^(2))…(5-omega^(n-1))` is :a)1 b)`(5^(n)+1)/4` c)`4^(n-1)` d)`(5^(n)-1)/4`

A

1

B

`(5^(n)+1)/4`

C

`4^(n-1)`

D

`(5^(n)-1)/4`

Text Solution

Verified by Experts

The correct Answer is:
D
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