Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 5 - Section 5.1 - Ratios, Rates, and Proportions - Exercises - Page 216: 13a


$x\approx2.19$ 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 $-0.69$
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