4X-(48/x^2)

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Solution for 4X-(48/x^2) equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

4*X-(48/(x^2)) = 0

4*X-48*x^-2 = 0

-48*x^-2 = -(4*X) // : -48

x^-2 = X/12

-2 < 0

1/(x^2) = X/12 // * x^2

1 = (X/12)*x^2 // : X/12

12*X^-1 = x^2

x^2 = 12*X^-1 // ^ 1/2

abs(x) = 2*3^(1/2)*X^(-1/2)

x = 2*3^(1/2)*X^(-1/2) or x = -(2*3^(1/2)*X^(-1/2))

x in { 2*3^(1/2)*X^(-1/2), -(2*3^(1/2)*X^(-1/2)) }

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