How to solve a Quadratic Congruence modulo prime

Published: 02 September 2022
on channel: sumchief
2,536
28

This video discusses how to solve a system of quadratic congruences for the variable x.
The question is x^2+6x+5=0 for modulus of any prime number.
The first issue is to find the square of the quadratic function. Then we get the integers on the
RHS and then take the square root on both sides to reveal a plus and minus value. This reveals 2 solutions which will lead us to infinite many solutions.
This is our solution
This is a topic in Number Theory
   • Linear Congruence with Prime Modulus  

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