# it's very interesting

Algebra Level 3

$\dfrac{x}{1-x^2}+\dfrac{y}{1-y^2}+\dfrac{z}{1-z^2} \\ =\dfrac{kxyz}{(1-x^2)(1-y^2)(1-z^2)}$

If $$x,y,$$ and $$z$$ are real numbers satisfying $$xy+yz+xz=1$$, find the value of $$k$$ for which the equation above holds true.

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