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If alpha, beta are the roots of the equ...

If ` alpha, beta` are the roots of the equation ` x^(2) - 2x + 4 = 0 ` then for any ` n in N` show that ` alpha^(n) + beta^(n) = 2^(n+1) cos ((n pi)/3)`.

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The correct Answer is:
`2^(n+1)cos""(npi)/3`
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