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: 87


$L = \pm \frac{1}{2}$

Work Step by Step

Add $\frac{1}{L^2}$ to both sides to get $$4=\frac{1}{L^2}$$ Take the square root of both sides to get $$\sqrt{4}=\sqrt{\frac{1}{L^2}} \implies \pm 2 = \frac{1}{L}$$ Finally, take the reciprocal of both sides to get $L = \pm \frac{1}{2}$.
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