1. Section 11.2
The Quadratic Formula

2. Idea Given a generic quadratic equation.
Use the steps we learned in 11.1 to create the the quadratic formula.
The formula will have letters and operations.
You will be given and equation and you will use the quadratic formulas to find the values for the unknown.

3. Quadratic Formula
Given the quadratic equation ax² + bx + c = 0 the quadratic formula is

4. Steps Write equation in decreasing order
Move constant to the other side
Divide both sides by the leading coefficient
Find the new constant
C = [(1/2)b]²
Add the new constant to both sides
Factor one side, simplify the other
Use the square root property
Isolate the variable

5. Let us prove the quadratic formula
Given ax² + bx + c = 0
Prove

6. Solve using the quadratic formula
3x² + 5x = 12

7. Solve using the quadratic formula
x² - 5x = -5

8. Homework
11.2
# 8, 11, 15, 21, 33, 34