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 11 - Quadratic Functions and Equations - 11.3 Studying Solutions of Quadratic Equations - 11.3 Exercise Set - Page 718: 35



Work Step by Step

$x=5$ or $ x=\displaystyle \frac{3}{4}\qquad$....get $0$'s on one side. $x-5=0$ or $ x-\displaystyle \frac{3}{4}=0\qquad$....Use the principle of zero products (multiplying). The solutions of this equation are $5$ and $\displaystyle \frac{3}{4}$. $(x-5)(x-\displaystyle \frac{3}{4})=0\qquad$...use the FOIL method to multiply. $ x^{2}-\displaystyle \frac{3}{4}x-5x+\frac{15}{4}=0\qquad$...combine like terms. $ x^{2}-\displaystyle \frac{23}{4}x+\frac{15}{4}=0\qquad$...multiply both sides by $4$ to clear fractions. $4x^{2}-23x+15=0$
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