1. Warm-Up

2. 5-4 Complex Number

3. CA Standard SWBAT: Understand how real and complex numbers are related
Add, subtract, multiply, and divide complex numbers

4. SOLVE
3x = 0
3x2 = -15
x2 = - 5
x =
What do we do now?

5. What do we do now? Thus, i = Rene Descartes proposed a solution.
He proposed that the solution to the equation x2 = -1 be represented by a number i
where i is not a real number.
Thus, i =

6. Pure Imaginary Numbers
For any positive real number b,
where i is the imaginary unit, and bi is called a pure imaginary number.

7. So let’s go back and solve
3x = 0
x2 = - 5
x =

8. Example 1:
Simplify the expression 1. 2. 3.

9. Example 2: Your Turn 1. 2. 3.

10. Expansion
If , what is i2 equal to?

11. Expansion

12. They repeat. So what is i10 ? How about i25? So does this help?
Notice Anything?
They repeat.
So what is i10 ?
How about i25?
So does this help?

13. Example 3:
Simplify 1. 2.

14. Example 4: Your Turn
Simplify

15. pg. 264
#22-33
Your Homework