Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.5 - Solving Equations Containing Rational Expressions - Exercise Set - Page 377: 11

Answer

x = -28/3

Work Step by Step

Original Equation $\frac{5}{x-2}$ - $\frac{2}{x+4}$ = -$\frac{4}{x^{2} + 2x-8}$ Multiply equation by the LCD, (x-2)(x+4) to get rid of denominators 5(x+4) - 2(x-2) = -4 Simplify 3x+24 = -4 Subtract 24 3x = -28 Divide by 3 to find x x = -28/3
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