SOLUTION: Can you help me solve this radical equation x-2/2x+1=x+1/x

Question 791381: Can you help me solve this radical equation
x-2/2x+1=x+1/x
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Can you help me solve this equation
x-2/2x+1=x+1/x
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Cross Multiply to get:
x(x-2) = (x+1)(2x+1)
---------
x^2-2x = 2x^2 + 3x + 1
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x^2 +5x + 1 = 0
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Quadratic Formula:
x = [-5 +- sqrt(25-4)]/2
-----
x = [-5 +- sqrt(21)]/2
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Cheers,
Stan H.
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