The green points arranged around the circle in the right-hand pane are the [i]n[/i]th roots of the blue point, [i]c[/i], in the left-hand pane. The slider in the left-hand pane allows you to see the [i]n[/i]th roots for other values of [i]n[/i]. The circle in the right-hand pane shows the magnitudes of the [i]n[/i]th roots.

[list=1][br][*] What effect does changing [i]n[/i] have on the roots?[br][*] Under what circumstances are there two real roots?[br][*] Under what circumstances are there two pure imaginary roots?[br][*] Are there any circumstances when there are no real roots? One real root? Three real roots?[br][/list]