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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 8.123 (page 974)

Solve:
$\frac{2}{x + 1} + \frac{1}{x - 1} = \frac{1}{x^{2} - 1}$

Short Answer

Expert verified

$x = \frac{2}{3}$

Step by step solution

01

Step 1. Given information

$\frac{2}{x + 1} + \frac{1}{x - 1} = \frac{1}{x^{2} - 1}$

02

Step 2. Solving the equation by cross multiplication

$\frac{2}{x + 1} + \frac{1}{x - 1} = \frac{1}{x^{2} - 1} \frac{2 x - 2 + x + 1}{x^{2} - 1} = \frac{1}{x^{2} - 1} 3 x - 1 = 1 3 x = 2 x = \frac{2}{3}$

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