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Warm-Up 1. 2. 3. 4.. 5-4 Complex Number CA Standard SWBAT: Understand how real and complex numbers are related Add, subtract, multiply, and divide complex.

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Presentation on theme: "Warm-Up 1. 2. 3. 4.. 5-4 Complex Number CA Standard SWBAT: Understand how real and complex numbers are related Add, subtract, multiply, and divide complex."— Presentation transcript:

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 3x 2 = -15 x 2 = - 5 x = What do we do now?

5 Rene Descartes proposed a solution. He proposed that the solution to the equation x 2 = -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 lets go back and solve 3x = 0 x 2 = - 5 x =

8 Example 1: Simplify the expression

9 Example 2: Your Turn

10 Expansion If, what is i 2 equal to?

11 Expansion

12 Notice Anything? They repeat. So what is i 10 ? How about i 25 ? So does this help?

13 Example 3: Simplify 1. 2.

14 Example 4: Your Turn Simplify

15 Your Homework pg. 264 #22-33


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