Answer
$x=1$ or $x=-1$
Work Step by Step
The real number is $x$ and its reciprocal is $\frac{1}{x}$
The equation is:
$x=\frac{1}{x}$
$x^2=1$ by multiplying both sides by $x$, where $x\ne 0$
$x=1$ or $x=-1$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 1 - Introduction to Algebraic Expressions - 1.7 Multiplication and Division of Real Numbers - 1.7 Exercise Set - Page 59: 136
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