Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 9 - Quadratic Functions and Equations - 9-5 Completing the Square - Lesson Check - Page 579: 3


$m=14$ or $m=-21$

Work Step by Step

$m^2+7m-294=0$ $m^2+2.m.\frac{7}{2}+\frac{49}{4} =294+\frac{49}{4}$ $(m+\frac{7}{2})^2=\frac{1225}{4}$ $(m+\frac{7}{2})^2=(\frac{35}{2})^2$ $m+\frac{7}{2}=\pm \frac{35}{2}$ $m+\frac{7}{2}=\frac{35}{2}$ or $m+\frac{7}{2}=-\frac{35}{2}$ $m=14$ or $m=-21$
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