If α, β are the roots of the equation x^2 - √2x - 8 = 0 and An = αn + βn, n ∈ N,

Question

If α, β are the roots of the equation \(x^2 - \sqrt 2 x - 8 = 0\) and A_n = α_n + β_n, n ∈ N, then the value of \(\frac{A_{10} - \sqrt 2 A_9}{2A_8}\).

Answer 1

Correct answer: 4