Answer
$$x=-\frac{1}{5},\:x=\frac{1}{5}$$
Work Step by Step
Solving the equation by factoring, we find:
$$ 25x^2-1=0 \\\left(5x+1\right)\left(5x-1\right) =0 \\ x=-\frac{1}{5},\:x=\frac{1}{5}$$
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 8 - Systems of Linear Equations and Problem Solving - 8.8 Business and Economics Applications - 8.8 Exercise Set - Page 563: 33
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