Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Section 8.1 - The Square Root Property and Completing the Square - Concept and Vocabulary Check - Page 592: 3

Answer

$x = ± \frac {\sqrt22}{2}$

Work Step by Step

$x^2 = \frac{11}{2}$ Using the Square Root Property $u^2 = d$, then $u = \sqrt d$ or $u = - \sqrt d$. Thus, $x = ±\sqrt \frac{11}{2}$ Rationalizing denominators: $x = ±\sqrt \frac{11}{2}$ $⋅$ $\sqrt \frac{2}{2}$ $x = ± \frac {\sqrt22}{2}$
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