# How do I use the quadratic formula to solve x^2+3x-2=0?

Sep 30, 2014

$a {x}^{2} + b x + c = 0$

${x}^{2} + 3 x - 2 = 0$

$a = 1 , b = 3 , c = - 2$

$x = \frac{- \left(3\right) \pm \sqrt{{\left(3\right)}^{2} - 4 \left(1\right) \left(- 2\right)}}{2 \left(1\right)}$
$x = \frac{- 3 \pm \sqrt{9 + 8}}{2}$
$x = \frac{- 3 \pm \sqrt{17}}{2}$