Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.5 Solve Quadratic Equations by Finding Square Roots - 4.5 Exercises - Skill Practice - Page 270: 25


The solutions are $5$ and $-5$.

Work Step by Step

$ 6z^{2}=150\qquad$ ...divide each side with $6$ $ z^{2}=25\qquad$ ...take square roots of each side. $\sqrt{z^{2}}=\sqrt{25}\qquad$ ...simplify ...When solving an equation of the form $x^{2}=s$ where $s>0$, we find both the positive and negative solutions. $z=\pm 5$
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