Solve a Quadratic Congruence by Factors or Find the Square
This video discusses how to solve a system of quadratic congruences for the variable x which has no solutions for values of c in ax^2+bx+c=0 modulo 7
The question is 2x^2+3x+2=0 modulo 7.
First issue is that when finding the square, we need to make the b coefficient even, so we get an integer when dividing by 4.
Then we get the coefficient to correct the equation after finding the square needs to be multiplied by 2 as well and subtracting from the c value.
RHS needs to be a square value so when we take the square root, we have an integer. Take the square root on both sides to reveal a plus and minus value for the RHS. This reveals there is 1 solution.
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Watch video Solve a Quadratic Congruence by Factors or Find the Square online without registration, duration hours minute second in high quality. This video was added by user sumchief 09 January 2023, don't forget to share it with your friends and acquaintances, it has been viewed on our site 681 once and liked it 13 people.