1. 3-2

2. Solve 2x2 − 13x + 15 = 0 for x Do Now 3/2 Hint: factor!
Essential Question: What is the quadratic formula?

3. Agenda Do Now Good Things Review Complex numbers
Simplifying imaginary numbers
Notes: Quadratic Formula
Worksheet / exit ticket

4. GOOD THINGS

5. Review: Simplifying i i95 = i3 = -i
We KNOW that i4 = 1. ALWAYS.
To simplify:
Divide (÷) the exponent by 4
The remainder is my new exponent
i95  95÷4 = 23.75, or 23 remainder 3
i95 = i3 = -i

6. Simplifying i
(6 - 6i)(8 – 2i)

7. Notes: Quadratic formula
A quadratic equation has a squared (x2) term
Standard form: ax2 + bx + c = 0
Vertex form: a(x – h)2 + k = 0
The solutions tell us the x-intercepts
We use factoring, completing the square, and the quadratic formula to find the solutions

8. Quadratic formula

9. quadratic formula Step 1: Make sure equation is in standard form
Step 2: Identify a, b, and c
Step 3: Plug in a, b, and c (CAREFUL WITH THE NEGATIVES!)
Step 4: Simplify

10. quadratic formula x2 + 2x = 3 Standard form: ax2 + bx + c = 0
IF you cannot factor, plug a, b, and c into the quadratic formula
x2 + 2x = 3

11. Quadratic formula 3x2 -10x = - 5
It’s okay to leave answers in radical form!

12. quadratic formula 4x2 + 11x -20 = 0 #1 on your worksheet
Take 5 minutes to solve for x.
4x2 + 11x -20 = 0

13. Quadratic Formula Worksheet
Due at the end of class
MUST SHOW WORK – cannot just put final results
Staple any paper you use
Reminder: Independent Practice is due tomorrow at the start of class