X/x^2-1

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Solution for X/x^2-1 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

X/(x^2)-1 = 0

X*x^-2 = 1 // : X

x^-2 = 1/X

-2 < 0

1/(x^2) = 1/X // * x^2

1 = (1/X)*x^2 // : 1/X

X = x^2

x^2 = X // ^ 1/2

abs(x) = X^(1/2)

x = X^(1/2) or x = -X^(1/2)

x in { X^(1/2), -X^(1/2) }

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