Re: Is it possible to have several solutions in this way to this equation using Pari/ɢᴘ ?

[Laël Cellier <lael.cellier@laposte.net>]

first,
beta=-(V\W);
alpha=W*(V+W*beta);

is just 1 way to find a suitable solution alpha == w (v + w beta). I’m 
needing to find other ways in order to get different results.

Let’s give a numerical example :
V=25 c=60 W=3 b=85 f=-1
give :
alpha=3
beta=-8
nfr=[-4, -1/9]~

of course with such small values, there’s no possible different end 
result than [-4, -1/9], but the real numbers are around 300 digits long.

Le 19/01/2025 à 17:12, Bill Allombert a écrit :
> On Sun, Jan 19, 2025 at 04:13:10PM +0100, Laël Cellier wrote:
> > Sorry, the real script is :
> >
> > beta=-(V\W);
> > alpha=W*(V+W*beta);
> > xx=alpha^2*x^2+(2*alpha*beta-abs(b))*x+(beta^2-c);
> > nfr=nfroots(,xx);
> >
> > as f is used as an abs( function by being set to either 1 or −1
> Give a numerical example ?
>
> beta=-(V\W) implies alpha = 0, which implies that xx has a single solution.
>
> Cheers,
> Bill.