SOLUTION: Solve for x 2/x-2=x+2/x

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Question 985923: Solve for x
2/x-2=x+2/x
Answer by ikleyn(52905) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,

I re-write your equation as follows by placing parentheses according to the common sense. Is this what you need?

2%2F%28x-2%29 = %28x%2B2%29%2Fx.

Solution

2x = (x-2)*(x+2),

2x = x%5E2 - 4

x%5E2 - 2x - 4 = 0,

x%5B1%5D = 1+%2B+sqrt%285%29,   x%5B2%5D = 1+-+sqrt%285%29

(use the quadratic formula).