Re: simple but complex... :(

From: Kevin Saff (news_at_kevin.saff.net)
Date: 12/10/04 

Date: Fri, 10 Dec 2004 16:06:14 GMT

Lucy wrote:
> _
> how can you solve z^9-z^9=9|z|^4? what do I miss here?
>

For one thing, ascii art assumes a fixed-width font; I read this as
z^9-z^9=9|z|^4, which has only the solution 0. Then I saw the misplaced
overline.

Assuming you mean z^9-conj(z)^9=9|z|^4, note that conj(z)^9=conj(z^9).
Then z^9-conj(z^9) = 2i.Im(z^9). Since the left side is imaginary, and
the right side real, I think 0 is still the only solution.

HTH

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