Complex root

Solving z^n=w

There will be n solutions.
They’ll form a regular n-sided polygon centred at the origin, if we draw it on an Argand diagram.

Question	Answer
How many solutions does an equation of the form z^n=w have?	There will be n solutions.
What shape do the solutions of z^n=w form on an Argand diagram?	They form a regular n-sided polygon centred at the origin.
Solve z^2=4.	z=2 or z=-2
Solve z^2=-4.	z=2i or z=-2i
Solve z^2=4.	z=2 or z=-2