Answer
$x\approx2.19$ or $-0.69$
Work Step by Step
$\frac{x+1}{x} = \frac{2x}{3}$
$3(x+1) = 2x(x)$
$3x+3 = 2x^{2}$
$2x^{2}-3x-3=0$
$x=\frac{-(-3)\pm\sqrt {(-3)^{2}-4(2)(-3)}}{2(2)}$
$x=\frac{3\pm\sqrt {33}}{4}$
$x\approx2.19$ or $-0.69$
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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: 13a
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