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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
y = 3*x-(5/x)+8 // - 3*x-(5/x)+8
5/x-(3*x)+y-8 = 0
5/x-3*x+y-8 = 0
5*x^-1-3*x^1-8*x^0 = 0
(5*x^0-3*x^2-8*x^1)/(x^1) = 0 // * x^2
x^1*(5*x^0-3*x^2-8*x^1) = 0
x^1
5-3*x^2-8*x = 0
5-3*x^2-8*x = 0
DELTA = (-8)^2-(-3*4*5)
DELTA = 124
DELTA > 0
x = (124^(1/2)+8)/(-3*2) or x = (8-124^(1/2))/(-3*2)
x = (2*31^(1/2)+8)/(-6) or x = (8-2*31^(1/2))/(-6)
x in { (2*31^(1/2)+8)/(-6), (8-2*31^(1/2))/(-6)}
x in { (2*31^(1/2)+8)/(-6), (8-2*31^(1/2))/(-6) }
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