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

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 5 - Polynomials and Factoring - 5.7 Solving Quadratic Equations by Factoring - 5.7 Exercise Set - Page 352: 59


$$ x=-2,3$$

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: $$ 0=x^2-x-6 \\ 0=\left(x+2\right)\left(x-3\right) \\ x=-2,3$$
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