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: 4


$z=7.5$ or $z=-9$

Work Step by Step

$2z^2+3z=135$ $z^2+\frac{3}{2}z=\frac{135}{2}$ $z^2+2.m.\frac{3}{4}+\frac{9}{16} =\frac{135}{2}+\frac{9}{16}$ $(z+\frac{3}{4})^2=(\frac{1089}{16})$ $(z+\frac{3}{4})^2=(\frac{33}{4})^2$ $z+\frac{3}{4}=\pm \frac{33}{4}$ $z+\frac{3}{4}=\frac{33}{4}$ or $z+\frac{3}{4}=-\frac{33}{4}$ $z=7.5$ or $z=-9$
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