1. Problem of the Day Janice is solving the quadratic equation as shown:
x2 + 24x – 15 = 0
x2 + 24x – =
x2 + 24x = 15
Which equation BEST represents the next step Janice would use to solve for x by completing the square?
x2 + 24x =
x2 + 24x + 12 =
x2 + 24x + 48 =
x2 + 24x =
Problem of the Day

2. Section 4-6a The Quadratic Formula

3. Then Now Objectives You solved equations by completing the square.
Solve quadratic equations by using the Quadratic Formula.

4. Common Core State Standards
Content Standards
N.CN.7 – Solve quadratic equations with real coefficients that have complex solutions.
A.SSE.1.b – Interpret complicated expressions by viewing one or more of their parts as a single entity.
Mathematical Practices
8) Look for and express regularity in repeated reasoning.
Common Core State Standards

5. Quadratic Formula

6. Example 1 Two Rational Roots
Solve the equation by using the Quadratic Formula: 𝑥 2 +6𝑥=16
Example 1 Two Rational Roots

7. Example 1 Two Rational Roots
Solve the equation by using the Quadratic Formula: 2 𝑥 2 +25𝑥+33=0
Example 1 Two Rational Roots

8. Example 1 Two Rational Roots
Solve the equation by using the Quadratic Formula: 𝑥 2 −8𝑥=33
Example 1 Two Rational Roots

9. Example 2 One Rational Root
Solve the equation by using the Quadratic Formula: 𝑥 2 −16𝑥+64=0
Example 2 One Rational Root

10. Example 2 One Rational Root
Solve the equation by using the Quadratic Formula: 𝑥 2 +34𝑥+289=0
Example 2 One Rational Root

11. Example 2 One Rational Root
Solve the equation by using the Quadratic Formula: −16 𝑥 2 +8𝑥−1=0
Example 2 One Rational Root

12. Example 3 Irrational Roots
Solve the equation by using the Quadratic Formula: 𝑥 2 −8𝑥+9=0
Example 3 Irrational Roots

13. Example 3 Irrational Roots
Solve the equation by using the Quadratic Formula: 3 𝑥 2 +5𝑥+1=0
Example 3 Irrational Roots

14. Example 3 Irrational Roots
Solve the equation by using the Quadratic Formula: 𝑥 2 −6𝑥+2=0
Example 3 Irrational Roots

15. p.269 #5 – 8, 14, 15, 48
Homework