3x^(-3/2)=-81

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Solution for 3x^(-3/2)=-81 equation: 


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

3*x^(-3/2) = -81 // + 81

3*x^(-3/2)+81 = 0

3*x^(-3/2) = -81 // : 3

x^(-3/2) = -27

-3/2 < 0

1/(x^(3/2)) = -27 // * x^(3/2)

1 = -27*x^(3/2) // : -27

-1/27 = x^(3/2)

x^(3/2) = -1/27 // ^ 2

x^3 = 1/729 // ^ 1/3

x = 1/9

x = 1/9

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