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 - Guided Practice for Examples 2, 3 and 4 - Page 268: 17

Answer

The solutions are $4$ and $-4$.

Work Step by Step

$ 5x^{2}=80\qquad$ ...divide each side with $5$. $ x^{2}=16\qquad$ ...take square roots of each side. $\sqrt{x^{2}}=\sqrt{16}\qquad$ ...simplify. ...When solving an equation of the form $x^{2}=s$ where $s>0$, we find both the positive and negative solutions. $x=\pm 4$
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