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 6 - Rational Expressions and Equations - 6.1 Rational Expressions - 6.1 Exercise Set - Page 379: 18

Answer

$$x=-2,\:x=\frac{7}{3}$$

Work Step by Step

A rational expression is undefined when the denominator is equal to zero. Thus, we set the denominator equal to zero to find: $$ 3x^2-x-14=0 \\ 3x\left(x+2\right)-7\left(x+2\right)=0 \\ \left(x+2\right)\left(3x-7\right)=0 \\ x=-2,\:x=\frac{7}{3}$$
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