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

If `alpha,beta` are the roots of equation ,`x^(2)-3x+1=0` and ,`f(n)=alpha^(n)+beta^(n),n in I` ,then ,`f(n+2)=k.f(n)-f(n-2)` , where `k` is , (A) `8` (B) `9` (C) `7` (D) `6`

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