Answer
$$x=-1,\:x=\frac{5}{2}$$
Work Step by Step
We set the equation equal to zero and solve to find the x-intercepts:
$$ 0= 2x^2-3x-5 \\ 0=2x\left(x+1\right)-5\left(x+1\right) \\ 0=\left(x+1\right)\left(2x-5\right) \\ x=-1,\:x=\frac{5}{2}$$
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 5 - Polynomials and Factoring - Review Exercises: Chapter 5 - Page 370: 50
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