1. Warm Up Solve each of the quadratic functions: x2 – 3 = 0
2. x2 -2x – 8= 0

2. Answers Solve each of the quadratic functions:
x2 – 3 = 0 x = -1.73, x = 1.73
x2 - 2x – 8= 0 x = -2, x = 4

3. Quadratic Formula

4. Square Root Method
We will use this method to solve a quadratic equation if the case is b = 0. or When this is the case, we solve first for x2 and then square root both sides.

5. Example
Solve: 3x2 – 27 = 0

6. Try to solve these equations on your own:
x2 – 20 = 0
5x2 = 55
6x2 – 42 = 0

7. Quadratic Formula
Quadratic Formula: If , then: Find a, b, and c and plug into the formula. Then simplify. **Make sure you use Order of Operations when simplifying.
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8. Quadratic Formula
The quadratic formula allows you to solve ANY quadratic equation, even if you cannot factor it. An important piece of the quadratic formula is what’s under the radical: b2 – 4ac This piece is called the discriminant. We will talk about the discriminant tomorrow.

9. Example 1: Solve using the quadratic formula.

10. Example 2: Solve using the quadratic formula.

11. Example 3: Solve using the quadratic formula.

12. Try to solve these on your own using the quadratic formula:

13. Methods for solving quadratic equations:
Factoring – Use if you can easily determine the factors
Graphing – If you have access to a graphing calculator
Solving for x – Use if there is no “b” value
Quadratic Formula – ALWAYS works!

14. Homework
We have talked about all three methods to solve quadratic equations. “Three Options to solving Quadratic Equations” Worksheet Pick three problems from each column to solve. Check your solutions.