x+43/x^3

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Solution for x+43/x^3 equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

x+43/(x^3) = 0

x+43*x^-3 = 0

x*(43*x^-4+1) = 0

43*x^-4 = -1 // : 43

x^-4 = -1/43

-4 < 0

1/(x^4) = -1/43 // * x^4

1 = -1/43*x^4 // : -1/43

-43 = x^4

x = 0

x = 0

x in { 0} 

x belongs to the empty set

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