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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
18-(8/x) = x/5 // - x/5
18-(x/5)-(8/x) = 0
18-(x/5)-8*x^-1 = 0
18*x^0-1/5*x^1-8*x^-1 = 0
(18*x^1-1/5*x^2-8*x^0)/(x^1) = 0 // * x^2
x^1*(18*x^1-1/5*x^2-8*x^0) = 0
x^1
(-1/5)*x^2+18*x-8 = 0
(-1/5)*x^2+18*x-8 = 0
DELTA = 18^2-(-8*4*(-1/5))
DELTA = 1588/5
DELTA > 0
x = ((1588/5)^(1/2)-18)/(2*(-1/5)) or x = (-(1588/5)^(1/2)-18)/(2*(-1/5))
x = -5/2*((1588/5)^(1/2)-18) or x = 5/2*((1588/5)^(1/2)+18)
x in { -5/2*((1588/5)^(1/2)-18), 5/2*((1588/5)^(1/2)+18)}
x in { -5/2*((1588/5)^(1/2)-18), 5/2*((1588/5)^(1/2)+18) }
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