How Do You Solve a Rational Equation With No Solution?

How Do You Solve a Rational Equation With No 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
  • no solution

Background Tutorials

  • Fractions

      • What's a Numerator and What's A Denominator?What's a Numerator and What's A Denominator?

      What's a Numerator and What's A Denominator?

      Numerators and denominators are the key ingredients that make fractions, so if you want to work with fractions, you have to know what numerators and denominators are. Lucky for you, this tutorial will teach you some great tricks for remembering what numerators and denominators are all about.

  • Simplifying Rational Expressions

      • What's an Excluded Value?What's an Excluded Value?

      What's an Excluded Value?

      Excluded values are simply that: values that are excluded, or left out. These are values that will make the denominator of a rational expression equal to 0. Remember, you're not allowed to divide by 0, so these values are important to identify and exclude while solving. This tutorial shows you all about excluded values!

  • Adding and Subtracting with the Same Denominator

  • Adding and Subtracting with the Different Denominators

      • How Do You Add Two Rational Expressions with Different Denominators?How Do You Add Two Rational Expressions with Different Denominators?

      How Do You Add Two Rational Expressions with Different Denominators?

      Adding rational expressions together? Don't have common denominators? No problem! Find the least common denominator (LCD) and change each rational expression into an equivalent expression with that LCD. Once you have common denominators, you're ready to add and simplify! Watch it all in this tutorial!

      • How Do You Find the Least Common Denominator of Two Rational Expressions?How Do You Find the Least Common Denominator of Two Rational Expressions?

      How Do You Find the Least Common Denominator of Two Rational Expressions?

      When adding or subtracting rational expressions, you need have common denominators just like any other fraction. If you don't have common denominators, then you'll need to find the least common denominator (LCD) and use it to get those denominators to be the same. Learn how to find the LCD of two rational expressions by watching this tutorial!

  • Solving Rational Equations

      • What's a Rational Equation?What's a Rational Equation?

      What's a Rational Equation?

      A rational expression is a fraction with a polynomial in the numerator and denominator. If you have an equation containing rational expressions, you have a rational equation. Learn more about rational equations by watching this tutorial!

Further Exploration