x-1/3(1/x)=0

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Solution for x-1/3(1/x)=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

x^2-1/3 = 0

x^2-1/3 = 0

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

DELTA = 4/3

DELTA > 0

x = ((4/3)^(1/2)+0)/(1*2) or x = (0-(4/3)^(1/2))/(1*2)

x = ((4/3)^(1/2))/2 or x = (-(4/3)^(1/2))/2

x in { (-(4/3)^(1/2))/2, ((4/3)^(1/2))/2} 

x in { (-(4/3)^(1/2))/2, ((4/3)^(1/2))/2 }

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