Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - 7.6 - More Fractional Equations and Problem Solving - Concept Quiz 7.6 - Page 314: 10



Work Step by Step

We first create common denominators: $\frac{x(x+2)}{3(x-2)(x+2)} + \frac{12}{3(x-2)(x+2)} = \frac{(x+2)(x-2)}{3(x-2)(x+2)} $ The denominators are the same, so we can cancel them out to find: $ x^2+ 2x +12 = x^2 -4 \\ 2x = -16 \\x=-8$ The given statement is true.
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