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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