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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. 203 (page 694)

In the following exercises, solve each rational equation
$1 + \frac{9}{p} = \frac{- 20}{p^{2}}$ .

Short Answer

Expert verified

The solution is $p = - 4, - 5$ .

Step by step solution

Step 1. Given

The given equation is: $1 + \frac{9}{p} = \frac{- 20}{p^{2}}$ .

Step 2. To find

We have to solve the equation.

Step 3. Calculation

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

$1 + \frac{9}{p} = \frac{- 20}{p^{2}} 1 (p^{2}) + \frac{9}{p} (p^{2}) = \frac{- 20}{p^{2}} (p^{2}) p^{2} + 9 p = = - 20 p^{2} + 9 p + 20 = 0 (p + 4) (p + 5) = 0 p = - 4, - 5$

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In the following exercises, solve each rational equation 1+9p=-20p2.

Short Answer

Step by step solution

Step 1. Given

Step 2. To find

Step 3. Calculation

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In the following exercises, solve each rational equation
$1 + \frac{9}{p} = \frac{- 20}{p^{2}}$ .