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Let alpha and beta be roots of x^2-6(t^2...

Let `alpha` and `beta` be roots of `x^2-6(t^2-2t+2)x-2=0` with `alpha>beta`. if `a_n=alpha^n-beta^n` for `n>=1`, then find the minimum value of `(a_100-2a_98)/a_99` (where `t in R`)

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