Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.6 Solving Radical Equations - 10.6 Exercise Set - Page 669: 72



Work Step by Step

Solving the equation for $h$ using the rules of Algebra, we obtain: $$ \sqrt{\frac{h}{r+h}}=\frac{\sqrt{2}v\sqrt{gr}}{2gr}\\ \frac{h}{r+h}=\frac{v^2}{2gr}\\ h=\frac{v^2r}{2gr-v^2}$$
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