The instruction "to_poly_solve" isn't in the Maxima's manual. ?Exist?
AIA.
> To: Adam Majewski <adammaj1 at o2.pl>
> Cc: maxima at math.utexas.edu
> Message-ID:
> <OFC64ADFF6.269C040F-ON862574A2.007BA2E1-862574A2.007BA2E3 at unk.edu>
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>
> Since abs(4*z^3+4*c*z) is purely real and %e^%i has a nonzero imaginary
> part,
> I think the solution set is empty. If I'm wrong about that or if there is a
> typo, maybe we can try solving it with to_poly_solve; something like:
>
> (%i10) eqs : [z=z^4+2*c*z^2+c^2+c, abs(4*z^3+4*c*z)=b]$
> (%i11) assume(b > 0)$
>
> (%i12) to_poly_solve(eqs,[z,c]);
> (%o12) [[z=-sqrt(b)/2,c=-(b^(3/2)+2*b)/(4*sqrt(b))], ... ]
>
> Barton