1.
AM2.3b To Simplify and Solve with Complex Numbers
Got ID?
What do these mean? (Don’t say the answers out loud)
1. THE ROAD
– TRAVELED 2. OF
BREATH
The road less traveled.
Short of breath.

2. Active Learning Assignment?
Worksheets

3. Lesson: I. To multiply binomial expressions with complex numbers (Simplify)
Ex: (3 + 5i) (4 – i)
{FOIL or Distribute}
12 – 3i + 20i –5i2
(Since i2 = -1, Scratch & Change) i
Try: (6 –3i) (7 + i)
42 + 6i – 21i –3i2
45 – 15i
Try: (4 – 7i) 2
(4 – 7i) (4 – 7i)
16 – 28i – 28i + 49i2
– 33 – 56i

4. * II. To Solve with complex numbers Try: Ex: Try:
* When solving with an even root, we must use ±
What do you call these numbers?
COMPLEX CONJUGATES!

5. (8 + 6i) (7 – 5i) (4 – 5i) (4 + 5i) 86 + 2i 41 Recap: 1: 2: 3: 4:
Hmmmmm, interesting! 41 3: 4:

6. Active Learning Assignment:
I. To Simplify: P. 28: 11 – 17 Odds
II. To Solve: 1. x2 + 9 = x = x = 0
x = x = x = 0
(Answers will be on tomorrow’s PowerPoint.)
WOW:
Be brave—even if you’re not, pretend to be. No one can tell the difference.