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[" Let "alpha" and "beta" be roots of "x^(2)-6(t^(2)-2t+2)x-2=0" with "alpha>beta." If "a_(n)=a^(n)-beta" for "n" ? "],[" minimum value of "(a_(100)-2a_(98))/(a_(99))" (where "t in R)]

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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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