#31 He was seized by the fidgets, Chapter 4.6 Complex Numbers P279 3-7, 12-17, 22-27, 34-41 #31 He was seized by the fidgets,

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

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

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

Examples

Examples

You can also still solve stuff

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

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

Adding & Subtracting Complex Numbers

Adding & Subtracting Complex Numbers

You can even plot these numbers! Imaginary Numbers Real Numbers

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

Multiplying Complex Numbers

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

Assignment p279 3-7, 12-17, 22-27, 42-49