Objective: Solve rational equations by clearing fractions and checking for restrictions.
A rational equation is an equation containing one or more rational expressions, often with the variable in a denominator. To solve a rational expression means to find all possible solutions. This is done by first clearing the equation of equations and then solving the resulting equation. One important step when solving rational expressions is to list any restrictions that exist. Recall from lesson 1 that a restriction is any value that make a denominator equal 0. Therefore, a restricted value can never be a solution. Watch the videos below to see how to solve rational equations.
This next video also shows examples of how to solve rational equations, but requires knowledge of how to solve quadratic equations by factoring as well (Unit 8, lesson 1).
Complete the worksheet attachment below and then check your answers using the solutions attachment. Once you have completed these exercises, click the link to advance to the next lesson.