2x-(80/x^2)

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Solution for 2x-(80/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)

2*x-(80/(x^2)) = 0

2*x-80*x^-2 = 0

2*x-80*x^-2 = 0

2*x*(1-40*x^-3) = 0

-40*x^-3 = -1 // : -40

x^-3 = 1/40

-3 < 0

1/(x^3) = 1/40 // * x^3

1 = 1/40*x^3 // : 1/40

40 = x^3

x^3 = 40 // ^ 1/3

x = 2*5^(1/3)

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

x = 2*5^(1/3)

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