# Finding Solutions of Congruence

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Question: Find the solutions of the congruence 12x^2 + 25x = 10 (mod 11). [Hint: Show the congruence is equivalent to the congruence 12x^2 + 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 congruence's.]

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##### Solution Summary

We compute the solutions of a quadratic congruence.

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We wish to find the solutions of the congruence

To solve this congruence, we first subtract 10 from both sides, ...

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