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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
8/x-4 = 5*x // - 5*x
8/x-(5*x)-4 = 0
8/x-5*x-4 = 0
8*x^-1-5*x^1-4*x^0 = 0
(8*x^0-5*x^2-4*x^1)/(x^1) = 0 // * x^2
x^1*(8*x^0-5*x^2-4*x^1) = 0
x^1
8-5*x^2-4*x = 0
8-5*x^2-4*x = 0
DELTA = (-4)^2-(-5*4*8)
DELTA = 176
DELTA > 0
x = (176^(1/2)+4)/(-5*2) or x = (4-176^(1/2))/(-5*2)
x = (4*11^(1/2)+4)/(-10) or x = (4-4*11^(1/2))/(-10)
x in { (4*11^(1/2)+4)/(-10), (4-4*11^(1/2))/(-10)}
x in { (4*11^(1/2)+4)/(-10), (4-4*11^(1/2))/(-10) }
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