Section 5.9.A Complex Numbers

1.) What is the solution for x 2 – 4 = 0 ? 2.) What is the solution for x = 0 ?

Def: Descartes defined an imaginary number “i” such that or

3.) Find:(i) 2 Def: For any positive number “a”, the is an imaginary number such that

4.) Describe as an imaginary number:

Imaginary numbers can be multiplied 5.) Simplify: -3i8i Remember i 2 = -1

Pattern for products of Imaginary numbers This pattern repeats in cycles of 4 as the exponent increases

6.) Simplify: We can use the pattern and count Or we can separate into factors of

7.) Solve 4x = 0

8.) simplify

9.) simplify

Homework Page 314 Problems: 6-11, 18, 19, odd, 50, 51, 53