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D( x )
-x = 0
-x = 0
x = 0
x in (-oo:0) U (0:+oo)
x/5+4/(-x)+8 = 0
1/5*x^1-4*x^-1+8*x^0 = 0
(1/5*x^2+8*x^1-4*x^0)/(x^1) = 0 // * x^2
x^1*(1/5*x^2+8*x^1-4*x^0) = 0
x^1
(1/5)*x^2+8*x-4 = 0
(1/5)*x^2+8*x-4 = 0
DELTA = 8^2-(-4*4*(1/5))
DELTA = 336/5
DELTA > 0
x = ((336/5)^(1/2)-8)/(2*(1/5)) or x = (-(336/5)^(1/2)-8)/(2*(1/5))
x = 5/2*((336/5)^(1/2)-8) or x = -5/2*((336/5)^(1/2)+8)
x in { -5/2*((336/5)^(1/2)+8), 5/2*((336/5)^(1/2)-8)}
x in { -5/2*((336/5)^(1/2)+8), 5/2*((336/5)^(1/2)-8) }
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