The document describes how to use the quadratic formula to solve quadratic equations. It provides the quadratic formula, explains the steps to use it which include identifying the a, b, and c coefficients and substituting them into the formula, simplifying, and solving for x. It then works through two example problems demonstrating how to apply the steps to solve quadratic equations.

1. The Quadratic Formula
For solving equations like:
𝑎𝑥2
+ 𝑏𝑥 + 𝑐 = 0
𝑥 =
−𝑏 ± 𝑏2 − 4𝑎𝑐
2𝑎

2. Example 1) Solve the equation by the Quadratic Formula: 𝑥2
+ 𝑥 − 20 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

3. Example 1) Solve the equation by the Quadratic Formula: 𝑥2
+ 𝑥 − 20 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

4. Example 1) Solve the equation by the Quadratic Formula: 𝑥2
+ 𝑥 − 20 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

5. Example 1) Solve the equation by the Quadratic Formula: 𝑥2
+ 𝑥 − 20 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

6. Example 1) Solve the equation by the Quadratic Formula: 𝑥2
+ 𝑥 − 20 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

7. Example 1) Solve the equation by the Quadratic Formula: 𝑥2
+ 𝑥 − 20 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

8. Example 1) Solve the equation by the Quadratic Formula: 𝑥2
+ 𝑥 − 20 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

9. Example 1) Solve the equation by the Quadratic Formula: 𝑥2
+ 𝑥 − 20 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

10. Example 2) Solve the equation by the Quadratic Formula: 𝑥2
− 6𝑥 + 9 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

11. Example 2) Solve the equation by the Quadratic Formula: 𝑥2
− 6𝑥 + 9 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

12. Example 2) Solve the equation by the Quadratic Formula: 𝑥2
− 6𝑥 + 9 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

13. Example 2) Solve the equation by the Quadratic Formula: 𝑥2
− 6𝑥 + 9 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

14. Example 2) Solve the equation by the Quadratic Formula: 𝑥2
− 6𝑥 + 9 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

15. Example 2) Solve the equation by the Quadratic Formula: 𝑥2
− 6𝑥 + 9 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

16. Example 2) Solve the equation by the Quadratic Formula: 𝑥2
− 6𝑥 + 9 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x

17. Example 2) Solve the equation by the Quadratic Formula: 𝑥2
− 6𝑥 + 9 = 0
Step 1: What are a, b, and c?
Step 2: Quadratic Formula
Step 3: Simplify
Step 4: Write two equations
± → + or −
Step 5: Solve for x