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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 201 (page 694)

In the following exercises, solve each rational equation
$1 - \frac{2}{m} = \frac{8}{m^{2}}$

Short Answer

Expert verified

The solution is $m = 4, - 2$

Step by step solution

01

Step 1. Given

The given equation is: $1 - \frac{2}{m} = \frac{8}{m^{2}}$

02

Step 2. To find

We have to solve the equation.

03

Step 3. Calculation

We will multiply both sides by LCD, then solve the linear equation.

$1 - \frac{2}{m} = \frac{8}{m^{2}} 1 (m^{2}) - \frac{2}{m} (m^{2}) = \frac{8}{m^{2}} (m^{2}) m^{2} - 2 m = 8 m^{2} - 2 m - 8 = 0 (m - 4) (m + 2) = 0 m = 4, - 2$

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Most popular questions from this chapter

In the following exercise, find

(a) $R (x) = f (x) + g (x)$

(b) $R (x) = f (x) - g (x)$ :

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Simplify the complex rational expression by using the LCD:

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$\frac{b - 7}{b^{2} - 25} .$

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