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 - Skill Practice - Page 593: 9

Answer

-1

Work Step by Step

For cross multiplication, we know: $$\frac{a}{d} =\frac{b}{c} \rightarrow ac=bd$$ Thus, we find: $$\left(x-3\right)\left(x+2\right)=\left(x+5\right)x\\ x^2-x-6=x^2+5x\\ \\ x^2-x-6=x^2+5x \\ x=-1$$ Checking our solution by plugging the given value back into the equation, we assure that the solutions are not extraneous.
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