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Solving Rational Equations

This topic was covered in grade ten, and we will 
continue with it.

To solve a rational equation:

1. Factor all of the polynomials in the equation.


2. State any non­permissible values.(values of x that will 
cause any of the denominators to = 0)


3. Cancel any of the factors that you can in the fractions


4. Multiply both sides of the equation by the LCD of all 
of the fractions.

• This is done to cancel out the denominators in all of 
the fractions.


5. Once you have removed the fractions denominators, 
use equation solving strategies for linear equations  
or quadratics to solve for the unknown value.

6. Check your solutions against the non­permissible 
values that you stated earlier.




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