Find the solution to the following linear, homogeneous recurrence with constant coefficients: an = +10an-1-22an-2 for n ≥ 2 with initial conditions ap 10, a₁ = 53. The solution is of the form: an = (a + B√s) (r + √5)² + (a − B√s) (r - √s)" for suitable real constants a, p, r, s. Note that the variable in this problem doesn't represent a characteristic value. Find these constants. T = S= α = B =

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