Complex Numbers Chapter 5, Section 9.

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Presentation transcript:

Complex Numbers Chapter 5, Section 9

What are complex numbers? Complex numbers are numbers in the form of a+bi where a and b are real numbers, and i is an imaginary number. i is NOT a variable, it is a number!!

Cycles of i The imaginary number i is a cyclic number:

Operations with Complex Numbers Works just like real numbers On the calculator, need to be in a+bi mode

Powers of i To simplify the expression in, divide n by 4 and see what is left over. What is left over is now the new exponent for i. Examples:

Solving equations with complex solutions. Examples

Your turn Exit Slip Homework NCSCOS 1.02 Handout EOC pages 15, 16, 35, 36