8/x^2-4x

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Solution for 8/x^2-4x 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)

8/(x^2)-(4*x) = 0

8/(x^2)-4*x = 0

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

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

2*x^-3 = 1 // : 2

x^-3 = 1/2

-3 < 0

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

1 = 1/2*x^3 // : 1/2

2 = x^3

x^3 = 2 // ^ 1/3

x = 2^(1/3)

4*x = 0

4*x = 0 // : 4

x = 0

x in { 0} 

x = 2^(1/3)

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