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Bill Allombert on Sun, 19 Jan 2025 22:33:00 +0100
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Re: Is it possible to have several solutions in this way to this equation using Pari/ɢᴘ ?
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- 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: Sun, 19 Jan 2025 22:32:55 +0100
- Delivery-date: Sun, 19 Jan 2025 22:33:00 +0100
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- In-reply-to: <569ec480-b041-4336-9d0e-f1439ac8cab6@laposte.net>
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- References: <33cf76b3-b090-49b3-acdf-19f4271f1da6@laposte.net> <Z40HLRTzOTDOId_u@seventeen> <32f78838-243b-4de7-bb6a-856d623e3380@laposte.net> <Z40kXVi4qDzVUn0K@seventeen> <661f4d3a-c27b-4b22-87a3-44d7fd7acdb5@laposte.net> <Z41i7dbZyxdSGSju@seventeen> <569ec480-b041-4336-9d0e-f1439ac8cab6@laposte.net>
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