IIT JEE Question

Algebra Level 4

Let \(\alpha \) and \( \beta \) be the roots of the quadratic equation \( x^2 - 6x - 2 \) with \( \alpha >\beta \).

Define \( a_n = \alpha^n - \beta^n \quad \) for integer \(n\).

Evaluate \[ \displaystyle \dfrac{ a_{10} }{2 a_9} - \dfrac{ 2 a_8 }{2 a_9 } . \]

×

Problem Loading...

Note Loading...

Set Loading...