(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

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

X^-2 = 9

-2 < 0

1/(X^2) = 9 // * X^2

1 = 9*X^2 // : 9

1/9 = X^2

X^2 = 1/9 // ^ 1/2

abs(X) = 1/3

X = 1/3 or X = -1/3

X in { 1/3, -1/3 }

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