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: 17

Answer

$$t=\frac{1}{2},\:t=-6$$

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: $$ 2t^2+11t-6=0 \\ t\left(2t-1\right)+6\left(2t-1\right)=0 \\ \left(2t-1\right)\left(t+6\right)=0 \\ t=\frac{1}{2},\:t=-6$$
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