Find the solutions of the congruence 12x2 + 25x ≡ 10 (mod 11). [Hint: Show the congruence is equivalence to the congruence 12x2 + 25x + 12 ≡ 0 (mod 11). Factor the left-hand side of the congruence; show that a solution of the quadratic congruence is a solution of one of two different linear congruences.]
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