x+4/x/x^2-16/3x

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Solution for x+4/x/x^2-16/3x equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

x-((16/3)*x)+(4/x)/(x^2) = 0

x+(-16/3)*x+(4/x)/(x^2) = 0

4*x^-3-13/3*x = 0

x*(4*x^-4-13/3) = 0

4*x^-4 = 13/3 // : 4

x^-4 = 13/12

-4 < 0

1/(x^4) = 13/12 // * x^4

1 = 13/12*x^4 // : 13/12

12/13 = x^4

x^4 = 12/13 // ^ 1/4

abs(x) = (12/13)^(1/4)

x = (12/13)^(1/4) or x = -(12/13)^(1/4)

x = 0

x = 0

x in { 0} 

x in { (12/13)^(1/4), -(12/13)^(1/4) }

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