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 - Concept and Vocabulary Check - Page 178: 4


Consider the equation $$\sqrt{2x+1}=x-7$$ Squaring the left side and simplifying results in $2x+1$ Squaring the right side and simplifying results in $x^{2}-14x+49$

Work Step by Step

The equation given is $$\sqrt{2x+1}=x-7$$ Squaring the left side of the equation results in the elimination of the square root, so the first answer is: $(\sqrt{2x+1})^{2}=2x+1$ The right side is a binomial, squaring it and simplifying it produces a trinomial, which is: $(x-7)^{2}=x^{2}-14x+49$
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