x/x3-1

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Solution for x/x3-1 equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

x/(x^3)-1 = 0

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

x^-2 = 1

-2 < 0

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

1 = 1*x^2 // : 1

1 = x^2

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 1, -1 }

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