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

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Algebra 1 week 10 learn it

  • 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