Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 3 - Quadratic Functions - Exercises for Skills for Factoring - Page 135: 89


$r= \pm 5$

Work Step by Step

Square both sides of the equation to get $$|r^2+24|=7^2=49$$ Since $r^2+24$ is always greater than $0$, $|r^2+24|=r^2+24$. Thus, $$r^2+24=49$$ Subtract $24$ from both sides to get $$r^2=25$$ Finally, take the square root of both sides to get $$r=\pm 5$$
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