# [Maxima] Equation with conjugate()

Dieter Kaiser drdieterkaiser at web.de
Tue Oct 21 13:36:11 CDT 2008

```I think you have not declared z to be complex.

By default every symbol is handled as a real value. So conjugate(z) simplifies
to z unless you declare z to be complex.

That is the result I have got:

(%i4) declare(z,complex);
(%o4) done
(%i5) solve(z*conjugate(z)+3*(z-conjugate(z))=13+12*%i,z);
(%o5) [z = (3*conjugate(z)+12*%i+13)/(conjugate(z)+3)]

Dieter Kaiser

-----Ursprüngliche Nachricht-----
Von: maxima-bounces at math.utexas.edu [mailto:maxima-bounces at math.utexas.edu] Im
Auftrag von Agustín Valverde
Gesendet: Dienstag, 21. Oktober 2008 18:28
An: maxima at math.utexas.edu
Betreff: [Maxima] Equation with conjugate()

Hi

I am a newbie in maxima and I have expend some hours to understand
what is wrong with the following: to the input

solve(z*conjugate(z)+3*(z-conjugate(z))=13+12*%i, z)

Maxima give sqrt(13+12*%i) as solution, but it is not correct!

Some suggestion?
Agustín
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