Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 5 - Section 5.1 - Ratios, Rates, and Proportions - Exercises - Page 228: 13b


$x\approx1.16$ or $-2.16$

Work Step by Step

$\frac{x+1}{x-1} = \frac{2x}{5}$ $5(x+1) = 2x(x-1)$ $5x+5 = 2x^{2}-2x$ $2x^{2}-7x-5=0$ $x=\frac{-2\pm\sqrt {2^{2}-4(2)(-5)}}{2(2)}$ $x=\frac{-2\pm\sqrt {44}}{4}$ $x=\frac{-2\pm2\sqrt {11}}{4}$ $x=\frac{-1\pm\sqrt {11}}{2}$ $x\approx1.16$ or $-2.16$
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