# Excluded Value

How to find the excluded value of a rational expression: 1 example and its solution.

## Example(x^{2} + 5x - 1)/(3x - 2)

Solution

Solution (Detail)

The excluded value of a fraction

is the x value

that makes the denominator 0.

The denominator cannot be 0.

So the excluded value

cannot be the solution.

Rational Equation

Rational Inequality

See the given rational expression.

The denominator is 3x - 2.

So set

3x - 2 = 0.

Solve 3x - 2 = 0.

Move -2 to the right side.

Divide both sides by 3.

Then x = 2/3.

So the excluded value is 2/3.