Question

Determine wether the given values of m are the roots of the quadratic equation or not m^2+4m+3=0,m=-1,2.

Answer 1

${m}^{2} + 4 m+ 3 = 0 \\ if \: m = - 1 \: then \\ ( - 1) {}^{2} + 4 \times - 1 + 3 \\ = 1 - 4 + 3 \\ = 0 \\ so \: m = - 1 \: is \: the \: root \: of \: this \: equation \\ now \\ if \: m = 2 \: then \\ (2) {}^{2} + 4 \times 2 + 3 \\ = 4 + 8 + 3 \\ = 15 \\ so \: m \: = 2 \: is \: not \: root \: of \: this \: equation$