Elementary Geometry for College Students (7th Edition) Clone

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: 12b

Answer

$x\approx4.65$ or $-3.65$

Work Step by Step

$\frac{x+1}{3} = \frac{5}{x-2}$ $(x+1)(x-2) = 5\times3$ $x^{2}-x-2 = 15$ $x^{2}-x-17 = 0$ $x=\frac{-(-1)\pm\sqrt {(-1)^{2}-4(1)(-17)}}{2(1)}$ $x=\frac{1\pm\sqrt {69}}{2}$ $x\approx4.65$ or $-3.65$
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