3x=1-1/x

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Solution for 3x=1-1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x = 1-(1/x) // - 1-(1/x)

3*x+1/x-1 = 0

3*x^1+1*x^-1-1*x^0 = 0

(3*x^2-1*x^1+1*x^0)/(x^1) = 0 // * x^2

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

x^1

3*x^2-x+1 = 0

3*x^2-x+1 = 0

DELTA = (-1)^2-(1*3*4)

DELTA = -11

DELTA < 0

x in { } 

x belongs to the empty set

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