On Oct 27, 11:00 am, "William Stein" <[EMAIL PROTECTED]> wrote:

> > sage: axiom.solve(sqrt(sqrt(4*x^2 + 1) - x^2 - 1), x)
>
> >            +-+       +-+
> >  [x= 0,x= \|2 ,x= - \|2 ]
>
> Sage's solve command is simply a light wrapper around Maxima's,
> and Maxima doesn't solve the above:

FTR there has been progress on a stronger equation solver
for Maxima. All hail Barton Willis for his fine work!

in Maxima 5.16.3:

load (topoly_solver);
to_poly_solve (sqrt(sqrt(4*x^2 + 1) - x^2 - 1), x) ;
 => [[x = - sqrt(2)], [x = sqrt(2)], [x = 0]]

There will be further improvements in the next release.

Robert Dodier
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