Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - 8.6 Solve Rational Equations - 8.6 Exercises - Quiz for Lessons 8.4-8.6 - Page 595: 10

Answer

No solution.

Work Step by Step

For cross multiplication, we know: $$\frac{a}{d} =\frac{b}{c} \rightarrow ac=bd$$ Thus, we find: $$\frac{\left(3x+6\right)}{x^2-4}=\frac{\left(x+1\right)}{x-2}\\ \frac{3}{x-2}\left(x-2\right)=\frac{x+1}{x-2}\left(x-2\right)\\ x=2$$ Checking our solution by plugging the given value back into the equation, we assure that the solution IS extraneous.
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