1. #31 He was seized by the fidgets,
Chapter 4.6
Complex Numbers
P , 12-17, 22-27, 34-41
#31 He was seized by the fidgets,

2. Imaginary Numbers
The expression does not have a real solution because squaring a number cannot result in a negative answer.
Imaginary numbers were created solve problems
involving negative square roots.
by definition

3. Mandelbrot set with colored environment
Mandelbrot set with colored environment. Each pixel is associated with a certain sequence of complex numbers. In this image the index for which the absolute value of all following numbers exceed 1000 does not increases from each colored stripe to the next towards the mandelbrot set by the amount of 1. This is the main difference between this image and

4. These are the four to remember!!!!
Imaginary Numbers
These are the four to remember!!!!

5. Examples

6. Examples

7. You can also still solve stuff

8. Numbers that contain both a real part and an imaginary part.
Complex Numbers
Numbers that contain both a real part and an imaginary part.
Standard Form

9. Adding & Subtracting Complex Numbers
Combine the real parts & the imaginary parts while following the rules of normal addition.

10. Adding & Subtracting Complex Numbers

11. Adding & Subtracting Complex Numbers

12. You can even plot these numbers!
Imaginary Numbers
Real Numbers

13. Multiplying Complex Numbers
Use the F.O.I.L method to multiply complex numbers.

14. Multiplying Complex Numbers

15. Dividing Complex Numbers
Multiply both numerator & denominator by the conjugate of the denominator.

16. Assignment
p , 12-17, 22-27, 42-49