Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - Chapter 1 Test Prep - Review Exercises - Page 179: 71

Answer

$-2$ and $-1$

Work Step by Step

Step 1. Rewrite the equation as $\sqrt {x+2}=x+2$, take square on both sides to get $x+2=x^2+4x+4$ or $x^2+3x+2=0$ Step 2. Factor the equation to get $(x+1)(x+2)=0$, thus $x=-2$ and $x=-1$ Step 3. Check the solution in the original equation, both solutions fit.
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