Question

Let α and β be the roots of equation x² - 6x - 2 = 0. If an = αⁿ - βⁿ, for n ≥ 1, then the value of (a₁₀ - 2a₈)/2a₉ is equal to

(a) 6 

(b) -6 

(c) 3

(d) -3

Answer 1

Correct option (c) 3

Explanation:

Given, α and β be the roots of equation x² - 6x - 2 = 0

Alter

Since, α and β be the roots of equation