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

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Solution for x^(-3/2)=1/4 equation: 


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

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

x^(-3/2)-(1/4) = 0

x^(-3/2)-1/4 = 0

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

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

-3/2 < 0

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

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

4 = x^(3/2)

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

x^3 = 16 // ^ 1/3

x = 2*2^(1/3)

x = 2*2^(1/3)

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