Finding all n complex roots of an nth degree equation

Move the orange point C to become the number on the right side of the equation [math]z^n=a+bi[/math]. Set the n slider to the degree of the equation. There will be n solutions to the equation. Try to move the red point A to a location so that [math]z^n[/math], the magenta point B, coincides with point C. When you find a point that works, use the pen tool to circle it. (If you have to erase, right click with the pen tool). Find all the other points that make the B point coincide with the C point. As you find them, circle them. You can drag the blue point at (0,0) to make a circle if you find it helpful. When you select a point, you can use the arrow keys on your keyboard to move the point 1/100 of a unit at a time.

Information: Finding all n complex roots of an nth degree equation