Solutions of the quintic 1+x+x^5 in radicals?

From: "Gerry" <GerryMrt@xxxxxxxxx>
Date: 28 Feb 2007 21:53:45 -0800

Hi all,

If we represent the roots of the quintic 1+x+x^5
by [x1+iy1,x1-iy1,x2+iy2,x2-iy2,x3]
then the solutions are :

x1 =-1/2=-0.5
y1 =3/4)^(1/2)= 0.866025403784...
x2 = 0.877438833123...
y2 = 0.744861766620....
x3 =-0.754877666247...

who knows the representation of x2 and y2 in radicals?

Thanks
Gerry

.

Follow-Ups:
- Re: Solutions of the quintic 1+x+x^5 in radicals?
  - From: bassam king karzeddin
- Re: Solutions of the quintic 1+x+x^5 in radicals?
  - From: Zdislav V. Kovarik
- Re: Solutions of the quintic 1+x+x^5 in radicals?
  - From: Gerry Myerson

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