# How do you solve 3m^2 - 7m = 3 using the quadratic formula?

Apr 26, 2016

$\frac{7 + \sqrt{85}}{6}$

#### Explanation:

$y = 3 {m}^{2} - 7 m - 3 = 0$
Use the improved quadratic formula (Socratic Search)
$D = {d}^{2} = {b}^{2} - 4 a c = 49 + 36 = 85$ --> $d = \pm \sqrt{85}$
There are 2 real roots:

$x = - \frac{b}{2 a} \pm \frac{d}{2 a} = \frac{7}{6} \pm \frac{\sqrt{85}}{6} = \frac{7 + \sqrt{85}}{6}$

NOTE
Using the improved quadratic formula is simpler and easier in computing the results.