x/3-1/x

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Solution for x/3-1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x/3-(1/x) = 0

x/3-x^-1 = 0

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

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

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

x^1

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

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

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

DELTA = 4/3

DELTA > 0

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

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

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

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

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