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: 12



Work Step by Step

For cross multiplication, we know: $$\frac{a}{d} =\frac{b}{c} \rightarrow ac=bd$$ Thus, we find: $$9\left(x-3\right)=\left(x^2-6x+9\right)\cdot \:3 \\ x=3,\:x=6$$ Checking our solution by plugging the given value back into the equation, we assure that the solution $x=3$ IS extraneous.
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