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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)`.

Text Solution

Verified by Experts

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

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