Answer
$$x=10$$
Work Step by Step
Solving the equation using the rules of Algebra, we find:
$$\frac{x-6}{x-3}=\frac{x-2}{x+4} \\ \left(x-6\right)\left(x+4\right)=\left(x-3\right)\left(x-2\right) \\ x^2-2x-24=x^2-5x+6 \\ x=10$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 9 Quadratic Relations and Conic Sections - 9.1 Apply the Distance and Midpoint Formulas - 9.1 Exercises - Mixed Review - Page 619: 74
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