Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - Chapter Review - Page 425: 44



Work Step by Step

Isolate the radical: \begin{align*} \sqrt{x+5}&=4-2\\ \sqrt{x+5}&=2\\ \end{align*} Square both sides: \begin{align*} (\sqrt{x+5}^2)&=2^2\\ x+5&=4 \end{align*} Solve for $x$: \begin{align*} x&=4-5\\ x&=-1 \end{align*}
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