[seqfan] Difficult problem

Artur grafix at csl.pl
Sun Dec 27 22:34:51 CET 2009

Dear Seqfans,

We have real plane in 3D Cartesian space
where a is single one real root of quintic polynomial a^5-a-1=0
Does exist on this plane rational points (different as od x=y=z=0) ?
If not does existed points expressible by radicals (polynomial a^5-a-1 
have not solvable Galois group S5 over rationals)

Best wishes

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