Solve the equation
Question:

Let $\alpha$ and $\beta$ be the roots of equation $x^{2}-6 x-2=0$. If $a_{n}=\alpha^{n}-\beta^{n}$, for $n \geq 1$, then the value of $\frac{a_{10}-2 a_{8}}{2 a_{9}}$ is equal to :

1. 3

2. – 3

3. – 4

4. 6

Correct Option: 1

Solution: