1. 5.6 The Quadratic Formula and the Discriminant

2. Objectives Solve quadratic equations using the quadratic formula.
Assignment: odd

3. 2 Real Solutions

4. 1 Real Solution

5. 0 Real Solution.
2 Complex Solutions.
(Imaginary)

6. 2 Real Solutions

7. 1 Real Solution

8. 0 Real Solution. 2 Complex Solutions.
(Imaginary)

9. 2 Real Solutions
1 Real Solution
0 Real Solutions;
2 complex solutions
is called the Discriminant.

10. The Quadratic Formula Starting with any quadratic equation:
We could solve it by completing the square and develop a formula that could be used to solve any quadratic equation.
Here is the solution to the quadratic equation above:
We will call this the Quadratic Formula. Memorize it.

11. Solve this quadratic equation using the quadratic formula: