# Help needed with plotting solutions on complex plane

• Mar 25th 2011, 01:58 AM
rorosingsong
Help needed with plotting solutions on complex plane
Hi, could someone show me how I would go about doing this one?

Find all solutions of $z^{4}= 8 + 8\sqrt{3} i$ and plot them in the complex plane.

How many solutions should I be getting? I know that they should lie on some sort of circle... should I include this circle in my graph?

Any help would be greatly appreciated!

Thanks,
rorosingsong
• Mar 25th 2011, 02:05 AM
Prove It
No, you should only show the solutions.

There are always two square roots, three cube roots, four fourth roots, etc. They are all equal in magnitude and are evenly spaced around a circle.
• Mar 25th 2011, 04:17 AM
rorosingsong
Quote:

There are always two square roots, three cube roots, four fourth roots, etc.
Ah, thanks! I didn't know that -- that helps alot.

You've been fantastically helpful "Prove It", thanks so much.
^_^