Chapter 9 - Quadratic Functions and Equations - 9-6 The Quadratic Formula and the Discriminant - Mixed Review - Page 573: 56

$m= -1, -2$

$m^2+3m=-2$ $m^2+3m+(3/2)^2=-2+(3/2)^2$ $(m+3/2)^2 = -2+9/4$ $(m+1.5)^2 = .25$ $\sqrt {(m+1.5)^2} = \sqrt {.25}$ $m+1.5 =±.5$ $m+1.5 =.5$ $m+1.5-1.5 = .5-1.5$ $m = -1$ $m+1.5 =-.5$ $m+1.5-1.5 = -.5-1.5$ $m = -2$