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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
8/x-4 = (2/2)*x // - (2/2)*x
8/x-((2/2)*x)-4 = 0
8/x-x-4 = 0
8*x^-1-1*x^1-4*x^0 = 0
(8*x^0-1*x^2-4*x^1)/(x^1) = 0 // * x^2
x^1*(8*x^0-1*x^2-4*x^1) = 0
x^1
8-x^2-4*x = 0
8-x^2-4*x = 0
DELTA = (-4)^2-(-1*4*8)
DELTA = 48
DELTA > 0
x = (48^(1/2)+4)/(-1*2) or x = (4-48^(1/2))/(-1*2)
x = (4*3^(1/2)+4)/(-2) or x = (4-4*3^(1/2))/(-2)
x in { (4*3^(1/2)+4)/(-2), (4-4*3^(1/2))/(-2)}
x in { (4*3^(1/2)+4)/(-2), (4-4*3^(1/2))/(-2) }
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