Question 41
(MON 2) Given two numbers $x_0$ and $x_1$, let $\alpha$ and $\beta$ be coefficients of the equation $1-\alpha y-\beta y^2=0$. Under the given conditions, find an expression for the solution of the system
$$x_{n+2}-\alpha x_{n+1}-\beta x_n=0,\qquad n=0,1,2,\ldots.$$
$$x_{n+2}-\alpha x_{n+1}-\beta x_n=0,\qquad n=0,1,2,\ldots.$$