# How do you find the value of the discriminant and state the type of solutions given 9m^2+6m+6=5?

Feb 22, 2017

Double root at $x = - \frac{1}{3}$
$9 {m}^{2} + 6 m + 1 = 0$
Discriminant $D = {d}^{2} = {b}^{2} - 4 a c = 36 - 36 = 0$
There is double-root at $x = - \frac{b}{2 a} = - \frac{6}{18} = - \frac{1}{3}$