Intermediate Algebra for College Students (7th Edition)

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

Chapter 7 - Section 7.6 - Radical Equations - Concept and Vocabulary Check - Page 559: 3


$2x+1$; $x^2-14x+49$

Work Step by Step

Square both sides of the equation to obtain: $\sqrt{2x+1}^2 = (x-7)^2 \\2x+1 = (x-7)^2$ Use the formula $(a-b)^2 = a^2-2ab+b^2$ where $a =x$ and $b=7$ to obtain: $2x+1=x^2-2(x)(7) + 7^2 \\2x+1 = x^2 - 14x + 49$ Thus, the missing expressions in the given statements are $2x+1$ and $x^2-14x+49$, respectively.
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