1. Warm-up Solve for x. 1. 2. 3. 4.

2. Section 5-6: Complex Numbers Goal 1.02: Define and compute with complex numbers.

3. Essential Questions What is an imaginary number? Why is it important to be able to compute with imaginary numbers?

4. Imaginary Numbers

5. Simplifying Numbers using i:

6. Complex Number  comprised of an imaginary and a real number of the form: Complex Number Plane:

7. Absolute Value of a Complex Number: a: |6 – 4i| b: |-2 + 5i| c: |5i|

8. Additive Inverse of a Complex Number:

9. Adding and Subtracting Complex Numbers:

10. Multiplying Complex Numbers:

11. Dividing Complex Numbers: Multiply by the conjugate. Multiply binomials. Simplify.

12. Finding Complex Solutions: a: 3x 2 + 48 = 0 b: 4x 2 + 100 = 0 c: 8x 2 + 2 = 0

13. Classwork/ Homework P. 274 Classwork: #2-18 Even Homework: #20-46 Even