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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(1/3)*x-(5/x)-6-2 = 12 // - 12
(1/3)*x-(5/x)-12-6-2 = 0
(1/3)*x-5*x^-1-12-6-2 = 0
1/3*x^1-5*x^-1-20*x^0 = 0
(1/3*x^2-20*x^1-5*x^0)/(x^1) = 0 // * x^2
x^1*(1/3*x^2-20*x^1-5*x^0) = 0
x^1
(1/3)*x^2-20*x-5 = 0
(1/3)*x^2-20*x-5 = 0
DELTA = (-20)^2-(-5*4*(1/3))
DELTA = 1220/3
DELTA > 0
x = ((1220/3)^(1/2)+20)/(2*(1/3)) or x = (20-(1220/3)^(1/2))/(2*(1/3))
x = 3/2*((1220/3)^(1/2)+20) or x = 3/2*(20-(1220/3)^(1/2))
x in { 3/2*(20-(1220/3)^(1/2)), 3/2*((1220/3)^(1/2)+20)}
x in { 3/2*(20-(1220/3)^(1/2)), 3/2*((1220/3)^(1/2)+20) }
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