1. Quadratic Formula: gives the solution of in terms of the coefficients a, b & c. The solutions of the quadratic equation are

2. Ex: 1 Solve x 2 + 9x +14 = 0 a = b = c = 1 st 2 nd

3. Ex: Solve x 2 - 6x +10 = 0 a =1 b =-6 c =10 1 st 2 nd

4. We must solve to get x 2 by itself 1 st !

5. 6x 2 – 11x + 3=0 (2x(3x– 1) = 0 – 3) x = 3/2 x = 1/3 Solve:

6. 6x 2 – 11x + 3 (2x(3x– 1) – 3) Write the following quadratic in factored form:

7. y=6x 2 – 11x + 3 Find the x-intercepts for:

8. y=6x 2 – 11x + 3 Find the roots for:

9. y=6x 2 – 11x + 3 For the following quadratic, state the nature of the roots: a. 2 real solutions b. 1 complex solution c. 1 real solution d. 2 complex solutions

10. Solve 1) x 2 + 5x + 6 = 0 2) x 2 + 7x + 6 = 0 3) 6x 2 + 15x = 0

11. x = 1/3, -2 Find the zeroes of the function.

12. Famous cliff diver Robbie Jarvis dives off of a 138 foot cliff. After t seconds, his height h (in feet) is modeled by: h = -16t 2 + 138 How many seconds does it take him to reach the water? Bonus: Will there be a splash? t = 2.94 seconds