1. Warm-up:
Solve for x. Hint, factor first!

2. Solving Rational Equations
Objective: Create a least common denominator (LCD) in order to solve for the unknown variable.

3. Hint for solving:
A quick way to solve a rational equation is to create a common denominator. The numerators must then make a true statement in which we can solve for the variable!
This will get rid of all the fractions!
Beware of extraneous solutions!

4. Example: Solve.
Check your solution!

5. Solve. ?
Check your solution!
No Solution!

6. Solve.
Factor 1st!
Check your solutions!

7. Solve for x, state the domain restrictions.
Sneedlegrit 1:
Solve for x, state the domain restrictions.

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

9. Example: Solve.
Check your solutions!

10. Last Example: Solve.
Check your solutions!

11. Sneedlegrit 2:
Solve for x, state the domain restrictions.

12. Assignment
HW: Solve Rational Equations