2 Rational EquationAn equation containing one or more rational expressions
3 Steps to solve Rational Equations Find the LCDMultiply every term on both sides of the equation by the LCD over 1(objective is to cancel out the denominators)Solve for the variablea. If it is a linear equation get variables on one side and constants on the otherb. If it is a quadratric set your equation = 0 and factor.
4 Extraneous SolutionsWhen both sides of the equation are mult by a variable, the equation is transformed into a new equation and may have an extra solution.Check each solution in the original rational equationMake sure that your answer does not make the denominator 0
5 Solving Rational Equations Multiply both sides of the equation by the LCM of the denominators.Least Common Multiple: Each factor raised to the greatest exponent.