## EQUATIONS INVOLVING FRACTIONS (RATIONAL EQUATIONS)

Note:

• A rational equation is an equation where at least one denominator contains a variable.

• There is a restriction on the domain. The variable cannot take on any number that would cause any denominator to be zero.

• The first step in solving a rational equation is to convert the equation to an equivalent equation without denominators.

• Then set the equation equal to zero and solve.

• Remember that you are trying to isolate the variable.

• Depending on the problem, there are several methods available help you solve the problem.

Solve for x in the following equations.

If you would like to see the answers and the solutions, click on solution.

Problem 5.1a:

Solution

Problem 5.1b:

Solution

Problem 5.1c:

Solution

Problem 5.1d:

Solution

Problem 5.1e:

Solution

[Algebra] [Trigonometry]
[Geometry] [Differential Equations]
[Calculus] [Complex Variables] [Matrix Algebra]

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Author: Nancy Marcus