Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.7 - Equations - Concept and Vocabulary Check - Page 105: 28

Answer

Extraneous.

Work Step by Step

Sometimes, squaring both sides produces a situation where extra solutions may show up in a way that some of the solutions of the squared equation may not satisfy the original equation. This is why we check all solutions of squared equations by substituting them into the original equation. The values that are not solutions of the original equations are called extraneous and are discarded.
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