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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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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