Intermediate Algebra for College Students (7th Edition)

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

Chapter 8 - Section 8.1 - The Square Root Property and Completing the Square - Exercise Set - Page 595: 92

Answer

$(x - 1)^2 = 16$ Using the Square Root Property, $u^2 = d$, then $u = \sqrt d$ or $u = - \sqrt d$. In this case, $u^2 = (x-1)^2$ and $d = 16$ Thus, $x-1 = ±\sqrt 16$ $x = 1± 4$ $x = 5$ or $x = -3$

Work Step by Step

$(x - 1)^2 = 16$ Using the Square Root Property, $u^2 = d$, then $u = \sqrt d$ or $u = - \sqrt d$. In this case, $u^2 = (x-1)^2$ and $d = 16$ Thus, $x-1 = ±\sqrt 16$ $x = 1± 4$ $x = 5$ or $x = -3$
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