Chapter 9 - Quadratic Functions and Equations - 9-5 Completing the Square - Lesson Check - Page 564: 3

$m=14, -21$

$m^2+7m-294=0$ $m^2+7m-294+(7/2)^2=0+(7/2)^2$ $m^2+7m+49/4-294 = 49/4$ $(m+7/2)^2 -294 = 12.25$ $(m+3.5)^2 -294+294=12.25+294$ $(m+3.5)^2 = 306.25$ $\sqrt {m+3.5}^2 = \sqrt {306.25}$ $m+3.5= 17.5$ or $m+3.5 = -17.5$ $m=14, -21$