Front

Define a rational equation.

Back

A rational equation is an equation that involves at least one rational expression, which is a fraction where the numerator and/or denominator are polynomials.

Front

What is an extraneous solution?

Back

An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

Front

How do you identify the least common denominator (LCD) in rational expressions?

Back

The LCD is the smallest expression that can be used to eliminate the denominators in a set of rational expressions.

Front

Back

Front

Back

x = -3.

Front

What is the first step in solving a rational equation?

Back

The first step is to find the least common denominator (LCD) and multiply both sides of the equation by it to eliminate the fractions.

Front

Back

No Solution.

Front

What does it mean to check for extraneous solutions?

Back

It means substituting the found solutions back into the original equation to verify if they hold true.

Front

Back

Front

Back