Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.7 - Equations - Exercise Set: 65

Answer

$\left\{4-\sqrt5, 4+\sqrt5\right\}$

Work Step by Step

Divide 3 on both sides of the equation to obtain: $(x-4)^2=5$ Take the square root of both sides to obtain: $x-4 = \pm \sqrt{5}$ Add 4 on both sides of the equation to obtain: $x=4 \pm \sqrt{5}$ Thus, the solution set of the given equation is $\left\{4-\sqrt5, 4+\sqrt5\right\}$.
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