College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.8 - Solving Basic Equations - P.8 Exercises - Page 60: 92

Answer

$R_1=\frac{1}{\frac{1}{R}-\frac{1}{R_2}}$

Work Step by Step

$\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}\\\frac{R_1}{R}=1+\frac{R_1}{R_2}\\\frac{R_1}{R}-\frac{R_1}{R_2}=1\\R_1(\frac{1}{R}-\frac{1}{R_2})=1\\R_1=\frac{1}{\frac{1}{R}-\frac{1}{R_2}}$
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