Hensel's Lemma lifting the powers to Solve a Quadratic Mod 100

This video discusses how to solve a system of quadratic congruences for the variable x .
We use Hensel's Lifting
The question is x^2+7x+2=0 for modulus 100
We first solve mod 2 then using Hensel's Lemma lift the power to 2^2 which is mod 4
Then we solve mod 5 then using Hensel's Lemma lift the power to 5^2 which is mod 25
Then we solve for modulo 100 using the Chinese Remainder Theorem by combining the 4 solutions
This is a topic in Number Theory
This is our solution

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