1. Section 5.9.A Complex Numbers

2. 1.) What is the solution for x 2 – 4 = 0 ? 2.) What is the solution for x 2 + 9 = 0 ?

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

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

5. 4.) Describe as an imaginary number:

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

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

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

9. 7.) Solve 4x 2 + 36 = 0

10. 8.) simplify

11. 9.) simplify

12. Homework Page 314 Problems: 6-11, 18, 19, 21-37 odd, 50, 51, 53