College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 4 - Section 4.3 - Quadratic Functions and Their Properties - 4.3 Assess Your Understanding: 2

Answer

$x=\left\{\frac{1}{2}, -4\right\}$

Work Step by Step

Factor the trinomial to obtain: $(2x-1)(x+4)=0$ Equate each factor to zero; then, solve each equation to obtain: $\begin{array}{ccc} &2x-1=0 &\text{ or } &x+4=0 \\&2x=1 &\text{ or } &x=-4 \\&x=\frac{1}{2} &\text{ or } &x=-4 \end{array}$ Thus, the solutions are: $x-\left\{\frac{1}{2}, -4\right\}$
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