Quadratic Congruence Composite Composite Modulus

Number Theory. Quadratic Congruence when the Modulus is a Composite Number and involves a square number.
This video demonstrates how to solve a system of quadratic congruences for the variable x .
The question is 7x^2-41x+54=0 for modulus 75.
This Quadratic Congruence has a modulus which is not a prime number has factors which are the primes 5,5,3.
So, we use Hensel's Lemma and the Chinese Remainder Theorem.
Hensel's Lemma is fundamental in p-adic analysis, a branch of analytic number theory.

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