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 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 552: 142

Answer

False.

Work Step by Step

The given statement is $(\sqrt x-7)^2=x-49$ Solve the left hand side term. $=(\sqrt x-7)^2$ Use the special formula $(A-B)^2=A^2-2AB+B^2$. We have $A=\sqrt x$ and $B=7$. $=(\sqrt x)^2-2(\sqrt x)(7)+(7)^2$ Use product rule. $=x^2-14\sqrt x+49$ Hence, the statement is false.
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