Answer
$R=\frac{r_1r_2}{r_1+r_2}$
Work Step by Step
Step 1. Given $\frac{1}{R}=\frac{1}{r_1}+\frac{1}{r_2}$, we have $\frac{1}{R}=\frac{r_1+r_2}{r_1r_2}$
Step 2. Inverse both sides, we have $R=\frac{r_1r_2}{r_1+r_2}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 1 - Equations and Inequalities - 1.6 Other Types of Equations and Applications - 1.6 Exercises - Page 149: 108
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