1. 8.6 Solve Rational Equations

2. Hint for solving:
A quick way to solve a rational equation is to multiply everything through by the LCD.
This will get rid of all the fractions!
Beware of extraneous solutions!

3. Multiply each fraction through by the LCD
Example: Solve.
LCD: 2x
Multiply each fraction through by the LCD
Check your solution!

4. Solve.
LCD: ?
LCD: (x+1) ?
Check your solution!
No Solution!

5. Solve.
Factor 1st!
LCD: (x+2)(x-2)
Check your solutions!

6. Short Cut!
When there is only fraction on each side of the =, just cross multiply as if you are solving a proportion.

7. Example: Solve.
Check your solutions!

8. Last Example: Solve.
Check your solutions!