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

Bill Allombert on Mon, 20 Jan 2025 12:57:21 +0100

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

To: 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: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
Date: Mon, 20 Jan 2025 12:54:06 +0100
Delivery-date: Mon, 20 Jan 2025 12:57:21 +0100
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In-reply-to: <2123939472.5369096.1737323196175@wlpnf0225.sys.meshcore.net>
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On Sun, Jan 19, 2025 at 10:46:36PM +0100, lael.cellier@laposte.net wrote:
> So getting something like 3 possible values for x or more is impossible ?

getting 3 values of x for the same beta is not possible, a quadratic equation 
has always at most two solutions.

However if you allow different beta, then you can get an infinite number of x.

Cheers,
Bill.

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>
- Re: Is it possible to have several solutions in this way to this equation using Pari/ɢᴘ ?
  - From: lael.cellier@laposte.net

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