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Topic: Let Z be a complex number. How do you (elegantly) prove that |z - 1|
> 2 implies |z^3 - 1| > 1

Replies: 11   Last Post: Oct 29, 2013 2:49 AM

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William Elliot

Posts: 2,637
Registered: 1/8/12
Re: Let Z be a complex number.
Posted: Oct 25, 2013 11:01 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Fri, 25 Oct 2013, wrote:

> Of course the proof boils down to elementary algebra, but I'm looking for a
> way that avoids tedious calculations as much as possible (eg. some geometric
> principle) ...

What proof?

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