-12/(x^(2))+1.5x^(0.5)=0

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Solution for -12/(x^(2))+1.5x^(0.5)=0 equation: 


D( x )

x < 0

x^2 = 0

x < 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (0:+oo)

1.5*x^0.5-12/(x^2) = 0

1.5*x^0.5-12*x^-2 = 0

x^0.5*(1.5-12*x^-2.5) = 0

-12*x^-2.5 = -1.5 // : -12

x^-2.5 = 0.125

-2.5 < 0

1/(x^2.5) = 0.125 // * x^2.5

1 = 0.125*x^2.5 // : 0.125

8 = x^2.5

x^2 = 8^(1/0.5) // ^ 1/2

abs(x) = 8

x = 8 or x = -8

x^0.5 = 0

1*x^0.5 = 0 // : 1

x^0.5 = 0

x = 0

x in { -8} 

x in { 0} 

x = 8

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