Answer
$x=\frac{5}{2}$ or $x=-\frac{5}{2}$.
Work Step by Step
By factorization, we have
$$4x^2-25=(2x-5)(2x+5)=0.$$
Then we have
$$(2x-5) =0, \quad \text{or} \quad (2x+5)=0$$
that is $x=\frac{5}{2}$ or $x=-\frac{5}{2}$.
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Chapter 11 - Section 11.1 - Solving Quadratic Equations by Factoring - Exercise - Page 364: 25
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