I agree in principle, but this is an example I am trying to use for my
multi variable calculus class and I was trying to avoid using Groebner
bases.

On Mon, Feb 23, 2026 at 10:38 PM Dima Pasechnik <[email protected]> wrote:

> One should do this sort of solving via polynomial functionality - setting
> up a lex order Groebner basis, etc On February 23, 2026 6: 43: 58 PM CST,
> 'Trevor Karn' via sage-devel <sage-devel@ googlegroups. com> wrote: Hi
> all, I attempted to
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> One should do this sort of solving via polynomial functionality - setting
> up a lex order Groebner basis, etc
>
>
>
> On February 23, 2026 6:43:58 PM CST, 'Trevor Karn' via sage-devel <
> [email protected]> wrote:
>
>> Hi all,
>>
>> I attempted to solve a system of equations today. I am wondering if this
>> is a bug. When I run the following code from SageCell
>> <https://urldefense.com/v3/__https://sagecell.sagemath.org/?z=eJx9js0OgyAQhO8mvMPeALsXq1eexGhCUtISBSxYA29fUZP-Jd3T5NvZ2YmYcBCL9IzGLCknhQzhYRSLSL2S4xtJP2R4kclrO7ONT7N2NjC-UlKouw0goG3KCELAUK6ir5EUcEx1LtO-yepjFfsGTlCvtMmOqsuB-6PgxkWxHI7QbtU7lOPVeT3fjKAhmSlRvDgjtRVHSf7v-Mv6BE8YUis=&lang=sage&interacts=eJyLjgUAARUAuQ==__;!!KwNVnqRv!BREJ0rdJN9WPzgfGhRSNgXMt4tVwD7aZsqd8hWqro6zARpWNAsTEzhqeScRulUXdXzPlcU6qHxdvBA$>,
>> I get complex solutions despite explicitly assuming x,y,k are real and
>> specifying the domain to be 'real':
>>
>> x,y,k=var('x,y,k')
>> assume(x,'real')
>> assume(y,'real')
>> assume(k,'real')
>> print(assumptions())
>>
>> eqns = [4*x == k*4*x^3,
>>         12*y == k*12*y^3,
>>         x^4 + 3*y^4 == 1]
>>
>> print(solve(eqns, [x,y,k],algorithm='sympy',domain='real'))
>> print(solve(eqns, [x,y,k],domain='real'))
>>
>> --
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