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Friday 23rd of March
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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Rational Equations

A rational equation is an equation that contains one or more rational expressions.

Here are three examples of rational equations. 3

The first step in solving a rational equation is to find the least common denominator (LCD) of the fractions in the equation.

Procedure

To Find the LCD of the Fractions in an Equation

Step 1 Factor each denominator.

Step 2 List each factor the greatest number of times that it appears in any one of the denominators.

Step 3 Multiply the factors in the list.

Example 1

Find the LCD of the fractions in this equation:

Solution

 Step 1 Factor each denominator. x2 - 4 2x x2 + 2x = (x + 2)(x - 2)= 2 Â· x = x(x + 2) Step 2 List each factor the greatest number of times that it appears in any one of the denominators. x + 2, x - 2, 2, x Step 3 Multiply the factors in the list. 2x(x + 2)(x - 2) So, the LCD is 2x(x + 2)(x - 2).