The characteristic quadratic polynomial of homogeneous second-order recurrence relation with constant coefficients recurrence relation is

Question

The characteristic quadratic polynomial of homogeneous second-order recurrence relation with constant coefficients recurrence relation is
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Solution 1

The characteristic quadratic polynomial of a homogeneous second-order recurrence relation with constant coefficients is given by:

ax² + bx + c = 0

Here, a, b, and c are constants and x is the variable. This polynomial is derived from the recurrence relation:

a_n = αa_(n-1) + βa_(n-2)

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