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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(1/2)*x-(5/x)-6-2 = 12 // - 12
(1/2)*x-(5/x)-12-6-2 = 0
(1/2)*x-5*x^-1-12-6-2 = 0
1/2*x^1-5*x^-1-20*x^0 = 0
(1/2*x^2-20*x^1-5*x^0)/(x^1) = 0 // * x^2
x^1*(1/2*x^2-20*x^1-5*x^0) = 0
x^1
(1/2)*x^2-20*x-5 = 0
(1/2)*x^2-20*x-5 = 0
DELTA = (-20)^2-(-5*4*(1/2))
DELTA = 410
DELTA > 0
x = (410^(1/2)+20)/(2*(1/2)) or x = (20-410^(1/2))/(2*(1/2))
x = 410^(1/2)+20 or x = 20-410^(1/2)
x in { 20-410^(1/2), 410^(1/2)+20}
x in { 20-410^(1/2), 410^(1/2)+20 }
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