Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Practice and Problem-Solving Exercises - Page 684: 33



Work Step by Step

Given:$\frac{2r}{r-4}-\frac{4}{r+5}=2$ $\dfrac{2r}{r-4}=2+\dfrac{4}{r+5}$ $\dfrac{2r}{r-4}=\dfrac{2r+10+4}{r+5}$ Apply cross products. $2r(r+5)=(2r+14)(r-4)$ $2r^2+10r=2r^2-8r+14r-56$ $10r+8r-14r+56=0$ Hence, $r=-14$
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