Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.5 - Solving Equations Containing Rational Expressions - Exercise Set - Page 525: 57


Answer : $\frac{2 + x}{2x}$

Work Step by Step

When a given number/expression is multiplied by its reciprocal, the result will always be = 1. Reciprocal of x $\rightarrow$ $\frac{1}{x}$ Reciprocal of 2 $\rightarrow$ $\frac{1}{2}$ Adding both, $\frac{1}{x}$ + $\frac{1}{2}$ = $\frac{ 2 + x}{2x}$.
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