A135611

[Olivier Gerard]

Dear Alexander,

There are at least 2 solutions for your equations, and they are
quite easy to approximate at a given precision

x= 1.632749856906240069978502579231322509272902738227...

and

x= -1.68336766284100539169447095157122597748337195563...

but there can be none, real, of smaller absolute value.


On Tue, Mar 4, 2008 at 10:32 PM, Alexander Povolotsky <apovolot at gmail.com>
wrote:

> Neal,
>
>  - re A135611
>
> I presume that a quite small fractional (considerably less than 1)
> transcendental number "x" exists such that:
>
> (2-x)^(2+x) + (3-x)^(2+x) = Pi
>
> Was it ever calculated to reasonable number of digits accuracy ?
>
> Regards,
> Alexander R. Povolotsky
>
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