College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.6: 125

Answer

False

Work Step by Step

The initial radical equation, which is the one you actually want to solve, has a specific domain of values for its variable of interest. Part of the solving process involves transforming the equation into a polynomial, whose domain is always the same: all Real numbers. Therefore, when checking the solutions, one must always use the initial equation to avoid including values that are outside of the original equation's domain.
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