Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.5 - Solving Equations Containing Rational Expressions - Exercise Set: 7

Answer

The solutions are -5 and 2

Work Step by Step

2+$\frac{10}{x}$=x+5 x(2+$\frac{10}{x}$)=x(x+5) 2x+10=$x^{2}$+5x 0=$x^{2}$+5x-2x-10 0=x(x+5)-2(x+5) 0=(x-2)(x+5) x-2=0 or x+5=0 x=2 or x=-5 The solutions are -5 and 2 Check Let x=2 2+$\frac{10}{x}$=x+5 2+$\frac{10}{2}$=2+5 2+5=7 7=7 Let x=-5 2+$\frac{10}{x}$=x+5 2+$\frac{10}{-5}$=-5+5 2+(-2)=0 0=0
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