3x-1/x

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Solution for 3x-1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(1/x) = 0

3*x-x^-1 = 0

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

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

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

x^1

3*x^2-1 = 0

3*x^2-1 = 0

DELTA = 0^2-(-1*3*4)

DELTA = 12

DELTA > 0

x = (12^(1/2)+0)/(2*3) or x = (0-12^(1/2))/(2*3)

x = (3^(1/2))/3 or x = (-3^(1/2))/3

x in { (-3^(1/2))/3, (3^(1/2))/3} 

x in { (-3^(1/2))/3, (3^(1/2))/3 }

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