Equations with Rational Expressions
      Solving rational equations
      Rational equations - Linear equations
      Rational equations - Quadratic equations
Equations with Rational Expressions
Solving rational equations
To solve an equation with rational expressions (fractions), determine the lowest common denominator (LCD)
of all rational expressions in the equation and multiply each term of both sides of the equation by the
common denominator to eliminate fractions.
Then, solve the equation that remains. Note, check for extraneous solutions.
The extraneous solutions are values that cause any denominator in the equation to be 0. So, these values
have to be excluded from the solution.
Rational equations - Linear equations
Example:  Solve the following rational equations.
Solutions:
 
 
   
   
Rational equations - Quadratic equations
Example:  Solve the following rational equations.
Solutions:
 
 
   
Intermediate algebra contents
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