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2014-12-25T23:38:22+05:30

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Since we are given one equation with three variables, we can find the answer in two variables.

     x² - y² - z² - x y - y z - x z  = 0

     z² + z (x+y) + (y² - x² + xy) = 0

taking it as a quadratic equation in z, we get

           z = [ - (x+y) + -  √(5 x² - 3 y² - 2 x y) ] / 2

\frac{x+y}{z} = \frac{2 (x+y)}{-(x+y) + - \sqrt{5 x^2 - 3 y^2 - 2 x y}}\\\\=\frac{2}{-1 +- \sqrt{5-\frac{8y}{x+y}-\frac{x}{(x+y)^2}}}\\


2 5 2
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