- Strategy to Solve Equations with Rational Expressions
- Note any value of the variable that would make any denominator zero.
- Find the least common denominator of all denominators in the equation.
- Clear the fractions by multiplying both sides of the equation by the LCD.
- Solve the resulting equation.
- If any values found in Step 1 are algebraic solutions, discard them.
- Check any remaining solutions in the original equation.
A rational equation is two rational expressions connected by an equal sign.
extraneous solution to a rational equation
An extraneous solution to a rational equation is an algebraic solution that would cause any of the expressions in the original equation to be undefined.