1. Warm Up
Solve using square roots
Solve by graphing
Solve by factoring

2. HW Check – 5.5

3. Complex Numbers
Section 5.6

4. Try this:
Solve the following quadratic equations by finding the square root:
4x = 0
What happens?

5. Remember when you first learned to count
Remember when you first learned to count? Now, your number system has expanded. You use rational numbers, like ½, and irrational numbers, like . Today, your number system is going to expand to include numbers such as .

6. i Introducing… This is i.
i is defined as the number whose square is -1.
and
An imaginary number is a number in the form a + bi, where b≠0.
Hey.
You’re saying I’m not real?!

7. Imaginary Number: i
The Imaginary number This can be used to find the root of any negative number. EX

8. In your graphing calculator, type and hit enter
In your graphing calculator, type and hit enter. What does your calculator say? Choose MODE, and then go down to REAL. Move your cursor to the right once, to a + bi, and press ENTER. This mode allows your calculator to work with Type and hit enter.
imaginary numbers!
You found me!

9. Operations with Complex Numbers
The Imaginary unit, i, can be treated as a variable Adding & Subtracting Complex Numbers EX: (8 + 3i) + ( i)

10. Try Some!
7 – (3 + 2i)
(4 – 6i) + 3i

11. Multiplying Complex Numbers
Example: (5i)(-4i) Example: (2 + 3i)(-3 + 5i)

12. Try Some!
(6 – 5i)(4 – 3i)
(4 – 9i)(4 + 3i)

13. Now we can SOLVE THIS!
Solve 4x = 0

14. Class Work – Complex Numbers Puzzle
Please turn in when complete. This will be your first grade for 4th Quarter!

15. Homework – 5.6 #s 29 – 40 (skip 31), 72, 77, 78 Last day for make up work is tomorrow by 4:45p! Tutoring after school in 2622.