3x^(-3/2)=12

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Solution for 3x^(-3/2)=12 equation: 


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

3*x^(-3/2) = 12 // - 12

3*x^(-3/2)-12 = 0

3*x^(-3/2) = 12 // : 3

x^(-3/2) = 4

-3/2 < 0

1/(x^(3/2)) = 4 // * x^(3/2)

1 = 4*x^(3/2) // : 4

1/4 = x^(3/2)

x^(3/2) = 1/4 // ^ 2

x^3 = 1/16 // ^ 1/3

x = (1/16)^(1/3)

x = (1/16)^(1/3)

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