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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. 8.119 (page 972)

Solve :
$1 - \frac{2}{a} = \frac{15}{a^{2}}$

Short Answer

Expert verified

$a = - 3, 5$

Step by step solution

01

Step 1. Given information

$1 - \frac{2}{a} = \frac{15}{a^{2}}$

02

Step 2. solving by cross multiplication

$1 - \frac{2}{a} = \frac{15}{a^{2}} \frac{a - 2}{a} = \frac{15}{a^{2}} a (a - 2) = 15 a^{2} - 2 a - 15 = 0 a^{2} - 5 a + 3 a - 15 = 0 a (a - 5) + 3 (a - 5) = 0 a = - 3, 5$

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