x-3/x^3-49x

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Solution for x-3/x^3-49x 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-(49*x)-(3/(x^3)) = 0

x-49*x-3*x^-3 = 0

-48*x-3*x^-3 = 0

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

1*x^-4 = -16 // : 1

x^-4 = -16

-4 < 0

1/(x^4) = -16 // * x^4

1 = -16*x^4 // : -16

-1/16 = x^4

-3*x = 0

-3*x = 0 // : -3

x = 0

x in { 0} 

x belongs to the empty set

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