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Complex Numbers www.themegallery.com 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems.

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Presentation on theme: "Complex Numbers www.themegallery.com 33 22 11 Properties & Powers of i Operations with Complex Numbers Practice Problems."— Presentation transcript:

1 Complex Numbers Properties & Powers of i Operations with Complex Numbers Practice Problems

2 Properties of i 2

3 Powers of i 3

4 Addition and Multiplication of Complex Numbers Treat as you would a variable Remember the powers of i 4

5 Addition of Complex Numbers Example 5

6 Multiplication of Complex Numbers Example 6

7 More Examples of Operations with Complex Numbers 7

8 Even More Examples of Operations with Complex Numbers 8

9 And Even More Examples of Operations with Complex Numbers 9

10 Quotients of Complex Numbers Solve as you would with a radical in the denominator Multiply by a quotient which simplifies to 1 and whose denominator when multiplied by the denominator of the original problem creates a real number In the case of a polynomial, multiply the conjugate (i.e. ) NEVER leave a complex number in the denominator 10

11 Quotients of Complex Numbers Example 11

12 Quotients of Complex Numbers Example 12

13 Roots of Negative Numbers 13

14 Quadratic Equation with Complex Solutions 14

15 Equation with Complex Solutions 15

16 Practice Problems Page 102 Problems


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