college algebra

the answer is supposed to be 4 but i do not know how they got it.

Solve for x.
[x-(1/x)]/[1+(1/x)]=3

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asked by chelsea
  1. 3 [1+(1/x)] = x-(1/x)
    3 = x - 4/x
    3x = x^2 -4
    x^2 -3x -4 = 0
    (x-4)(x+1) = 0
    x = 4 or -1
    The -1 solution is not allowed because it causes a zero denominator in the original equation.

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    posted by drwls

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