9=x^(-2/3)

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Solution for 9=x^(-2/3) equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

-1*x^(-2/3) = -9 // : -1

x^(-2/3) = 9

-2/3 < 0

1/(x^(2/3)) = 9 // * x^(2/3)

1 = 9*x^(2/3) // : 9

1/9 = x^(2/3)

x^(2/3) = 1/9 // ^ 3

x^2 = 1/729 // ^ 1/2

abs(x) = 1/27

x = 1/27 or x = -1/27

x in { 1/27, -1/27 }

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