Solving System of Nonlinear Equations (x,y,z)

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I have this system of equation:

A = \frac{1}{2} xy B = \frac{1}{2} zx C = \frac{1}{2} yz

And I want to solve for (x,y,z). How make this?
 
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This might not be a homework problem, but it is sufficiently like a homework problem that it should be posted in the Homework & Coursework section (in the Precalc section). I am closing this thread.

Please repost your question in the Homework & Coursework section. Be sure to fill in the parts of the homework template.
 

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