# Imaginaringly fun problem

Algebra Level pending

Let $$w= \frac { z }{ { z }^{ 2 }+1 }$$

If $$z=x+iy$$, where $$i=\sqrt { -1 }$$ and $$y\neq 0$$ , $${ z }^{ 2 }+1 \neq 0$$

And it is known that $$Im(w)=0$$

What is the value of $$\left| z \right|$$ ?

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