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Solutions of an equation under complex form

• To: mathgroup at smc.vnet.net
• Subject: [mg54478] Solutions of an equation under complex form
• From: Michaël Monerau <mmonerau at gmail.com>
• Date: Mon, 21 Feb 2005 03:44:46 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Hello,

I'm running into a little problem under Mathematica 5.0 but I'm sure 
people here will just take it as "too easy", but, well :) I just want 
the solutions of the equation :

x^2 + x + 1 == 0

under their complex form.

So, I type :

Solve [x^2 + x + 1 == 0, x]

But I unfortunately get :
{ { {x -> -(-1)^(1/3) }, { x -> (-1)^(2/3) } } }

And I'd prefer to obtain the more "readable" form :
-1/2 + I*1/2*Sqrt[3], -1/2 - I*1/2*Sqrt[3]

that I would get under another system for instance. What special function
should I call to get this form under Mathematica ?

Thanks for any help
-- 
Michaël Monerau
-= JJG =-

• Follow-Ups:
  • Re: Solutions of an equation under complex form
    • From: Murray Eisenberg <murray@math.umass.edu>
  • Re: Solutions of an equation under complex form
    • From: Pratik Desai <pdesai1@umbc.edu>