Hi,
you need to tell sage to work with complex numbers. One way to do it:
var('z',domain=CC)
show(solve(1/z==i,z))
returns
[z=(-i)]
As for an argument of a complex number, I don't know. arg apparently
gives a numerical value, I don't know whether there is an algorithm to
do it symbolically for any complex number.
Stepan
On 9 pro, 11:04, Jean-Patrick Pommier <[email protected]>
wrote:
> Hi,
> Is it possible to solve equation with complex variable such 1/z=1+i?
>
> I try without success:
>
> show(solve(1/z==i,z))
> which returns
> [] (-i waited).
>
> I didn't succeed well with:
> z/conjugate(z)=z which is z0=1
>
> I try also:
> z=1+i
> abs(z)=sqrt(2)
>
> but arg(z) gives 0.785398163397
> How to get the symbolic value pi/4?
>
> Thank you
> Jean-Patrick
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