Let \( \alpha \) and \( \beta \) be roots of \( x^{2}-6\left(t^{2}-...

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Let \( \alpha \) and \( \beta \) be roots of \( x^{2}-6\left(t^{2}-2 t+2\right) x-2=0 \) with \( \alpha\beta \). If \( \mathrm{a}_{\mathrm{n}}=\alpha^{\mathrm{n}}-\beta^{\mathrm{n}} \) for \( \mathrm{n} \geq 1 \), then find the
P
W minimum value of \( \frac{\mathrm{a}_{100}-2 \mathrm{a}_{98}}{\mathrm{a}_{99}}( \) where \( \mathrm{t} \in \mathrm{R}) \)
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