# JEE-Mains 2015 (3/30)

Algebra Level 3

Let $$\alpha$$ and $$\beta$$ be the roots of equation $$x^2-6x-2=0$$. If $$a_n=\alpha^n-\beta^n$$, for $$n \geq 1$$, then the value of $$\dfrac{a_{10}-2a_8}{2a_9}$$ is equal to:

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