1. Warm Up
Solve: (x – 4)(2x – 1) = 0
2. Solve: x² – 9x = 36

2. Solving Quadratics Must be in standard form. Must =0
(same as solving by factoring)

3. So what is the Quadratic Formula?

4.  b2 – 4ac The Discriminant Part of the Quadratic formula
We can use the discriminant to determine the # of solutions
The discriminant :
 b2 – 4ac

5. What does the discriminant tell us?
(b2 – 4ac)
Number of Solutions
Positive
TWO solutions
= 0
ONE solution
Negative
NO real solutions
(imaginary solutions)

6. Example #1
Determine the number of solutions: x2 + 6x + 8 = 0

7. Example #2
Determine the number of solutions: 4x2 – 20x + 5 = -20

8. Example #3
Determine the number of solutions: 4x = 0

9. SKILLZ you need
Simplifying Radicals

10. Simplifying Radicals

11. Simplifying Radicals

12. Simplifying Radicals

13. Simplifying Radicals

14. Simplifying Radicals