Finding Quadratic Residues and Quadratic NonResidues

This video looks for Quadratic Residues and Quadratic Nonresidues of a number via the Manual system
x^2==a mod k
We look at 6 , 14 , 17
x^2==3 mod 6
x^2==5 mod 14
x^2==8 mod 17
if a is a quadratic residue of k then there is a solution to the quadratic .
if a is a quadratic nonresidue of k then there is no solution to the quadratic .
#quadratic
#residue
#numbertheory
#modulusfunction
#mathstricks
#mathematicsanalysis
#calculus
#sumchief