\alpha, \beta are the roots of {x}^{2}-10 {x}-8=0 with \alpha>\beta. If a_{n}=\alpha^{n}-\beta^{n} for n \in \mathbb{N}, then the value of {a_{10}-8 a_{8}}/{5 a_{9}} is

AP EAPCET 05-Jul-2022 Shift 2 Paper

Section: Mathematics

Question : 11 of 160

Marks: +1, -0

α,β are the roots of x2−10x−8=0 with α>β. If an=αn−βn for n∈ℕ, then the value of ‌

a10−8a8

5a9

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