Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Exercise Set: 11

Answer

$z=6-3\sqrt2$ and $z=6+3\sqrt2$

Work Step by Step

$(z-6)^2 = 18 \\ z-6 = ±3\sqrt2 \\$ $z-6=-3\sqrt2 \rightarrow z=6-3\sqrt2$ $z-6=3\sqrt2 \rightarrow z=6+3\sqrt2$
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