x+1/6=x-1/x

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Solution for x+1/6=x-1/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

x+1/6 = x-(1/x) // - x-(1/x)

x-x+1/x+1/6 = 0

1*x^-1 = -1/6 // : 1

x^-1 = -1/6

-1 < 0

1/(x^1) = -1/6 // * x^1

1 = -1/6*x^1 // : -1/6

-6 = x^1

x = -6

x = -6

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