4x-2000(1/x^2)=0

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Solution for 4x-2000(1/x^2)=0 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-(2000*(1/(x^2))) = 0

4*x-2000*x^-2 = 0

4*x-2000*x^-2 = 0

4*x*(1-500*x^-3) = 0

-500*x^-3 = -1 // : -500

x^-3 = 1/500

-3 < 0

1/(x^3) = 1/500 // * x^3

1 = 1/500*x^3 // : 1/500

500 = x^3

x^3 = 500 // ^ 1/3

x = 5*4^(1/3)

4*x = 0

4*x = 0 // : 4

x = 0

x in { 0} 

x = 5*4^(1/3)

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