1. Quadratic Formula

2. Learning Intention/Success Criteria
LI: We are learning to factor quadratics with the quadratic formula SC: I can -simplify square roots -memorize the quadratic formula -locate solutions by using the quadratic formula -use integer operations -substitute values into an equation

3. Example 1: Solve for the roots: 2x2 + 3x – 9 = 0 A: B: C: 2 3 -9

4. (-3, 0)
Roots:

5. Guided Practice 1
Use the quadratic formula to solve the equation: 2x2 – 11x + 12 = 0
Roots:
(4, 0)
(1.5, 0)

6. Guided Practice 2
Use the quadratic formula to solve the equation: x2 – 4x + 3 = 0
Roots:
(3, 0)
(1, 0)

7. Example 2: Solve for the roots: x2 + 8x – 1 = 0 A: B: C: 1 8 -1

8. Roots:
(0.12, 0)
(-8.12, 0)

9. Guided Practice 3
Use the quadratic formula to solve the equation: 5x2 – x – 2 = 0
Roots:
(0.74, 0)
(-0.54, 0)

10. Guided Practice 4
Use the quadratic formula to solve the equation: 2x2 – 3x – 6 = 0
Roots:
(2.64, 0)
(-1.13, 0)