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 - Guided Practice for Examples 1 and 2 - Page 590: 3


-1, 4

Work Step by Step

For cross multiplication, we know: $$\frac{a}{d} =\frac{b}{c} \rightarrow ac=bd$$ Thus, we find: $$1\cdot \left(11x+8\right)=\left(2x+5\right)x \\ 2x^2 -6x-8 = 0 \\ x=-1,4$$ Checking our solution by plugging the given value back into the equation, we assure that the solution checks out.
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