College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.6 - Solving Other Types of Equations - 1.6 Exercises - Page 138: 29


$x=100$ or $x=-50$

Work Step by Step

$\displaystyle \frac{x^{2}}{x+100}=50$ We cross-multiply: $x^{2}=50(x+100)$ And distribute: $x^2=50x+5000$ $x^{2}-50x-5000=0$ And solve by factoring: $(x-100)(x+50)=0$ $x-100=0$ or $x+50=0$ $x=100$ or $x=-50$
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