solutions of simple polynomial equations not exact
Subject: solutions of simple polynomial equations not exact
From: Richard Fateman
Date: Tue, 28 Nov 2006 08:17:05 -0800
The commercial Macsyma does this exactly. Perhaps you realize that
1.2599... is the cube root of 2, and 0.7937.. is 1/1.2599..
The answer does require the solution of a cubic, and someone apparently made
the decision that you didn't want to see that exactly.
You can get exact answers to
x^2=r*y
y^2=x/s
and then substitute 2 for r and s.
RJF
> -----Original Message-----
> From: maxima-bounces at math.utexas.edu [mailto:maxima-
> bounces at math.utexas.edu] On Behalf Of Henning Siebel
> Sent: Tuesday, November 28, 2006 3:06 AM
> To: maxima at math.utexas.edu
> Subject: solutions of simple polynomial equations not exact
>
> Hello,
>
> im new to maxima and can't find out how to 'force' maxima finding/printing
> the
> exact solutions of:
>
> a: x^2=2*y$;
> b: y^2=x/2$;
>
> This is -among others- what I tried:
>
> solve([a,b],[x,y]), realonly:true;
> [[x=1.259921095381759,y=0.79370052770449],[x=0,y=0]]
>
> As the equations are simple, I (still) expect that maxima is capable of
> calculating exact solutions... - but how?
>
> Any answers or hints?
>
> Henning
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