SOLUTION: Given that x/y - y/x = 1/z, what is a simplified expression for y?

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Question 1172301: Given that x/y - y/x = 1/z, what is a simplified expression for y?
Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
.

You start with

    x%2Fy - y%2Fx = 1%2Fz



Multiply both sides by xy

    x^2 - y^2 = %28xy%29%2Fz

    y^2 + y%2A%28x%2Fz%29 - x^2 = 0.



It is a quadratic equation for "y" with coefficients  a= 1,  b= x%2Fz,  c = -x%5E2.



Now apply the quadratic formula to get an expression of  " y "  via coefficients.