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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x/8 = x+5/x-10 // - x+5/x-10
x/8-x-(5/x)+10 = 0
x/8-x-5*x^-1+10 = 0
10*x^0-7/8*x^1-5*x^-1 = 0
(10*x^1-7/8*x^2-5*x^0)/(x^1) = 0 // * x^2
x^1*(10*x^1-7/8*x^2-5*x^0) = 0
x^1
(-7/8)*x^2+10*x-5 = 0
(-7/8)*x^2+10*x-5 = 0
DELTA = 10^2-(-5*4*(-7/8))
DELTA = 165/2
DELTA > 0
x = ((165/2)^(1/2)-10)/(2*(-7/8)) or x = (-(165/2)^(1/2)-10)/(2*(-7/8))
x = -4/7*((165/2)^(1/2)-10) or x = 4/7*((165/2)^(1/2)+10)
x in { -4/7*((165/2)^(1/2)-10), 4/7*((165/2)^(1/2)+10)}
x in { -4/7*((165/2)^(1/2)-10), 4/7*((165/2)^(1/2)+10) }
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