Hi,

On Sun, Apr 10, 2011 at 3:41 PM, The_Fool <masterfu...@gmail.com> wrote:
> For some reason, Sage is unable to solve x=sqrt(1+x).

Yes, I can confirm this in the following way:

sage: solve(x == sqrt(1+x), x)
[x == sqrt(x + 1)]


> It should be
> fairly easy to solve and has a solution being the golden ratio.

Yes, the above problem should be simple to solve. See for example the
following equivalent way to express the above expression and the
corresponding solution you seek:

sage: solve(x^2 - x - 1, x)
[x == -1/2*sqrt(5) + 1/2, x == 1/2*sqrt(5) + 1/2]


> Unfortunately, Sage simply returns the same equation.  If it fails to
> solve this, I imagine it cannot solve more equations similar to this.

Try different reformulations of your problem and obtain different but
equivalent expressions. Then solve for each of those equivalent
expressions. You never know what you'll get.

-- 
Regards
Minh Van Nguyen

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