Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Section 7.6 - Proportions and Problem Solving with Rational Equations - Exercise Set - Page 539: 41

Answer

$x=5$

Work Step by Step

$2/(x-3) -4/(x+3) =8*(1/(x^2-9))$ $[(x-3)(x+3)](2/(x-3) -4/(x+3) =8*(1/(x^2-9)))$ $2(x+3)-4(x-3)=8$ $2x+6-4x+12=8$ $-2x+18=8$ $10=2x$ $10/2=2x/2$ $5=x$ $2/(x-3) -4/(x+3) =8*(1/(x^2-9))$ $2/(5-3) -4/(5+3) =8*(1/(5^2-9))$ $2/2 -4/8 = 8*(1/(25-9))$ $8/8-4/8 = 8*(1/16)$ $4/8 = 8/16$ $1/2=1/2$
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