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 - Practice: 3

Answer

x = -6 and 1

Work Step by Step

x(2+$\frac{6}{x}$)=x(x+7) 2x+6=$x^{2}$+7x 0=$x^{2}$+7x-2x-6 0=$x^{2}$+5x-6 0=$x^{2}$+6x-x-6 0=x(x+6)-1(x+6) 0=(x-1)(x+6) x-1=0 or x+6=0 x=1 or x=-6 Check x=1 1(2+$\frac{6}{1}$)=1(1+7) 2+6=1*8 8=8 Check x=-6 -6(2+$\frac{6}{-6}$)=-6(-6+7) -6(2-1)=-6*1 -6*1=-6 -6=-6
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