Answer
$b^{2}-4ac=49$
Work Step by Step
$a=-5,b=3,c=2$
$ b^{2}-4ac\qquad$ ...substitute $-5$ for $a,\ 3$ for $b$ and $2$ for $c$.
$=3^{2}-4\cdot(-5)\cdot 2\qquad$ ...evaluate $3^{2}$
$=9-4\cdot(-5)\cdot 2\qquad$ ...multiply before subtracting
$=9+40$
$=49$
