Let \( \alpha \) and \( \beta \) be the roots of \( x^{2}-6 x-2=0 \), with \( \alpha>\beta \)...

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Let \( \alpha \) and \( \beta \) be the roots of \( x^{2}-6 x-2=0 \), with \( \alpha>\beta \). If \( a_{n}=\alpha^{n}-\beta^{n} \) for \( n \geq 1 \), then the value of \( \frac{a_{10}-2 a_{8}}{2 a_{9}} \) i:
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