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Chapter 1: Problem 110

Explain how to find restrictions on the variable in a rational equation.

Short Answer

Expert verified
To find the restrictions on the variable in a rational equation, identify the denominator(s) in the equation, set each equal to zero, and solve for the variable. These solutions are the values that the variable can not take, as they would make the denominator zero.

Step by step solution

01

Identify the Denominator

First, the denominator of the rational equation needs to be identified. The denominator is the part of the fraction that is situated under the division line. If there is more than one fraction in the equation, there may be more than one denominator.
02

Set the Denominator Equal to Zero

Secondly, write down a new equation where the denominator is set equal to zero. This is done because the values of the variable that would make the denominator zero are the values that are not allowed, as division by zero is undefined.
03

Solve for the Variable

Thirdly, solve the equation set up in the previous step. The solutions to this equation are the restrictions for the variable.

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