Q. 71 Explain how you find the values ... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 71 (page 653)

Explain how you find the values of x for which the rational expression $\frac{x^{2} - x - 20}{x^{2} - 4}$ is undefined.

Short Answer

Expert verified

To find the values where the rational expression is undefined, equate the denominator of the expression to 0.
The expression is undefined for $x = - 2, 2$ .

Step by step solution

Step 1. Given information

The given expression is $\frac{x^{2} - x - 20}{x^{2} - 4}$ .

Step 2. Equate the Denominator to 0

The rational expressions are undefined when the denominator is equal to 0.
The denominator of the given rational expression is $x^{2} - 4$ .
Equate this expression to 0 and solve to find the value of x.
$\begin{array}{rcl} x^{2} - 4 & = & 0 \\ (x - 2) (x + 2) & = & 0 \\ x & = & 2, - 2 \end{array}$
So, the expression is undefined for $x = - 2, 2$ .

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91影视

Explain how you find the values of x for which the rational expression $\frac{x^{2} - x - 20}{x^{2} - 4}$ is undefined.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Equate the Denominator to 0

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91影视

Explain how you find the values of x for which the rational expressionx2-x-20x2-4is undefined.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Equate the Denominator to 0

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Explain how you find the values of x for which the rational expression $\frac{x^{2} - x - 20}{x^{2} - 4}$ is undefined.