1/x^(2/3)-1

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Solution for 1/x^(2/3)-1 equation: 


D( x )

x^(2/3) = 0

x^(2/3) = 0

x^(2/3) = 0

1*x^(2/3) = 0 // : 1

x^(2/3) = 0

x = 0

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

1/(x^(2/3))-1 = 0

1*x^(-2/3) = 1 // : 1

x^(-2/3) = 1

-2/3 < 0

1/(x^(2/3)) = 1 // * x^(2/3)

1 = 1*x^(2/3) // : 1

1 = x^(2/3)

x^(2/3) = 1 // ^ 3

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 1, -1 }

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