Lesson 6.5 – solving rational equations

To solve an equation with rational coefficients, the fractions can be cleared by multiplying both sides of the equation by a common denominator.

The same strategy can be used to solve an equation that contains rational expressions, known as a rational equation.

First identify the non-permissible values of the variable, then when the equation has been solved, check to see that the solution is a permissible value/ If it is not, the solution is an extraneous root.

All solutions of equations should be verified by substituting in the original equation. These verifications may not be included in the material that follows in this text.

Lesson 6.6 – applications of rational equations

Rational equation can be used to solve variety of real-world problems, including those involving motion, work, and proportions.