Re: Is it possible to have several solutions in this way to this equatio

Laël Cellier on Thu, 23 Jan 2025 14:07:03 +0100

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

To: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>, pari-users@pari.math.u-bordeaux.fr
Subject: Re: Is it possible to have several solutions in this way to this equation using Pari/ɢᴘ ?
From: Laël Cellier <lael.cellier@laposte.net>
Date: Thu, 23 Jan 2025 14:06:53 +0100
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Bonjour,

I might can set beta to any values, but then it seems nfroots returnsnothing for the second equation. Are you meaning then the secondequation should be solved by other means ?


Cordialement,

Le 19/01/2025 à 22:32, Bill Allombert a écrit :

On Sun, Jan 19, 2025 at 09:56:10PM +0100, Laël Cellier wrote:

So yes, I want to solve a system of equations where alpha and beta can be
set to any values as long as they’re valid for solving the first equation.

Are you meaning this/your code allows to get more than 2 solutions for the
second equation ?

Given alpha and beta, there are at most two possible x.
However there are either none or an infinite number of beta such that there are
two possible solutions x.

In the non-degenerate cases, you can use qfparam to obtain them.

Cheers,
Bill

Follow-Ups:
- Re: Is it possible to have several solutions in this way to this equation using Pari/ɢᴘ ?
  - From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>

References:
- Is it possible to have several solutions in this way to this equation using Pari/ɢᴘ ?
  - From: Laël Cellier <lael.cellier@laposte.net>
- Re: Is it possible to have several solutions in this way to this equation using Pari/ɢᴘ ?
  - From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
- Re: Is it possible to have several solutions in this way to this equation using Pari/ɢᴘ ?
  - From: Laël Cellier <lael.cellier@laposte.net>
- Re: Is it possible to have several solutions in this way to this equation using Pari/ɢᴘ ?
  - From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
- Re: Is it possible to have several solutions in this way to this equation using Pari/ɢᴘ ?
  - From: Laël Cellier <lael.cellier@laposte.net>
- Re: Is it possible to have several solutions in this way to this equation using Pari/ɢᴘ ?
  - From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>

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