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If alpha and beta are the roots of x^(2)...

If `alpha and beta` are the roots of `x^(2)-2x +4=0` then
`alpha^(n) + beta^(n)` is equal to

A

`2^(n)."cos"(n pi)/(3)`

B

`2^(n)."cos"((n+1)pi)/(3)`

C

`2^(n+1)."cos"(n pi)/(3)`

D

`2^(n+1)."cos"((n+1)pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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