## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 5 - Polynomials and Factoring - 5.7 Solving Quadratic Equations by Factoring - 5.7 Exercise Set - Page 352: 64

#### Answer

$$x=-2.5,2$$

#### Work Step by Step

To solve an equation set equal to zero using a graph, we see where the graph intersects the x-axis. Thus, we can use the reverse method, solving the equation by setting it equal to zero to see what the x-intercepts are. Doing this, we find: $$0=2x^2+x-10 \\ 0=\left(x-2\right)\left(2x+5\right) \\ x=-2.5,2$$

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