In Solving Rational Equations and Inequalities, Dr. Eaton first begins with rational equations and the method of using least common denominators. Then she reviews extraneous solutions and the need to double-check all solutions. Lastly she moves into rational inequalities with their excluded values and the technique to solve them. Four video examples at the end test your new found knowledge.
To solve a rational equation, multiply each term on both sides by the LCD of all the denominators in the equation. Then solve the resulting equation, which has no fractions.
Always check for extraneous solutions – values that make one or more of the denominators equal to 0. Exclude such values from the solution set. Better yet, before solving the equation, determine the values that must be excluded by setting each denominator equal to 0 and solving. Then you will recognize an extraneous solution as soon as it appears.
Solving Rational Equations and Inequalities
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.