

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.



Rational
equations  Quadratic equations

Example:
Solve the following
rational equations.










Intermediate
algebra contents 



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