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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