How Do You Solve a Rational Equation With an Extraneous Solution?

How Do You Solve a Rational Equation With an Extraneous Solution?

Note:

Want some extra practice solving rational equations? This tutorial gives you just that! Learn how to solve a rational equation containing rational expressions with unlike denominators. Take a look!

Keywords:

  • problem
  • rational
  • rational expression
  • variable
  • variables
  • fraction
  • algebraic fraction
  • fractions
  • similar denominator
  • multiple term denominators
  • add fractions
  • least common denominator
  • lcd
  • excluded value
  • extraneous solution
  • excluded value solution
  • undefined
  • zero denominator

Background Tutorials

  • Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

      • What's a Rational Expression?What's a Rational Expression?

      What's a Rational Expression?

      Got a fraction with a polynomial in the numerator and denominator? You have a rational expression! Learn about rational expressions in this tutorial.

Further Exploration

  • Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.