(X^(-2/3))=3

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


D( X )

X = 0

X = 0

X = 0

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

X^(-2/3) = 3 // - 3

X^(-2/3)-3 = 0

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

X^(-2/3) = 3

-2/3 < 0

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

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

1/3 = X^(2/3)

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

X^2 = 1/27 // ^ 1/2

abs(X) = (1/27)^(1/2)

X = (1/27)^(1/2) or X = -(1/27)^(1/2)

X in { (1/27)^(1/2), -(1/27)^(1/2) }

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