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If alpha and beta are roots of x^2 - x...

If `alpha and beta` are roots of `x^2 - x + 2 = 0 and S_n. = alpha^n +beta^n,n in N`, then value of `(sum_(n=1)^5s_n)/(sum_(n=1)^4alpha^n+sum_(n=1)^4beta^n+7)` is

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