2x^(-3/2)=16

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Solution for 2x^(-3/2)=16 equation: 


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

2*x^(-3/2) = 16 // - 16

2*x^(-3/2)-16 = 0

2*x^(-3/2) = 16 // : 2

x^(-3/2) = 8

-3/2 < 0

1/(x^(3/2)) = 8 // * x^(3/2)

1 = 8*x^(3/2) // : 8

1/8 = x^(3/2)

x^(3/2) = 1/8 // ^ 2

x^3 = 1/64 // ^ 1/3

x = 1/4

x = 1/4

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