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: 27


The solutions are $\sqrt{71} $and $-\sqrt{71}.$

Work Step by Step

$-3w^{2}=-213\qquad$ ...divide each side with $-3$ $ w^{2}=71\qquad$ ...take square roots of each side. $\sqrt{w^{2}}=\sqrt{71}\qquad$ ...simplify ...When solving an equation of the form $x^{2}=s$ where $s>0$, we find both the positive and negative solutions. $ w=\pm\sqrt{71}\qquad$ ...we cannot simplify any further.
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