Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Practice - Page 756: 1

Answer

$x = (3\sqrt 5, -3\sqrt 5)$

Work Step by Step

$x^{2}$ = 45 $x = ± \sqrt45 $ (Use the square root property) $x = ±5\sqrt 2$ (Simplify the radical) Check- 1. Let $ x = 3\sqrt 5 $ $x^{2} = 45$ $(3\sqrt 5)^{2}$ could be $45 $ $9\times5$ could be $45$ $45 = 45$ Hence, true. 2. Let $ x = -3\sqrt 5 $ $x^{2} = 45$ $(-3\sqrt 5)^{2}$ could be $45 $ $9\times5$ could be $45$ $45 = 45$ Hence, true. Therefore, the solution set is $x = (3\sqrt 5, -3\sqrt 5)$
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