1. Rational Equations

2. To Solve a Rational Equation
1. Factor ALL denominators completely

3. To Solve a Rational Equation
1. Factor ALL denominators completely
2. Get LCD on BOTH sides of the equation

4. To Solve a Rational Equation
1. Factor ALL denominators completely
2. Get LCD on BOTH sides of the equation
3. Change any numerators

5. To Solve a Rational Equation
1. Factor ALL denominators completely
2. Get LCD on BOTH sides of the equation
3. Change any numerators
4. Ignore denominators and solve the equation formed by numerators

6. Examples
𝑥 5 = 1 9

7. Examples
2. 2 𝑥 =10

8. Examples
𝑥−3 = 1 4

9. Examples
4. 𝑝 2 −𝑝+1 𝑝+1 = 𝑝 2 −7 𝑝 2 −1 +𝑝

10. Examples
5. 2𝑥 𝑥+5 − 𝑥 2 −𝑥−10 𝑥 2 +8𝑥+15 = 3 𝑥+3

11. Examples
6. 7𝑛 3𝑛+3 − 5 4𝑛−4 = 3𝑛 2𝑛+2

12. Homework
Packet Pages 18-19