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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(5/9)*x+18 = 5/x-(2/9)+2 // - 5/x-(2/9)+2
(5/9)*x-(5/x)+2/9-2+18 = 0
(5/9)*x-5*x^-1+2/9-2+18 = 0
5/9*x^1-5*x^-1+146/9*x^0 = 0
(5/9*x^2+146/9*x^1-5*x^0)/(x^1) = 0 // * x^2
x^1*(5/9*x^2+146/9*x^1-5*x^0) = 0
x^1
(5/9)*x^2+(146/9)*x-5 = 0
(5/9)*x^2+(146/9)*x-5 = 0
DELTA = (146/9)^2-(-5*4*(5/9))
DELTA = 22216/81
DELTA > 0
x = ((22216/81)^(1/2)-(146/9))/(2*(5/9)) or x = (-(146/9)-(22216/81)^(1/2))/(2*(5/9))
x = 9/10*((22216/81)^(1/2)-146/9) or x = -9/10*((22216/81)^(1/2)+146/9)
x in { -9/10*((22216/81)^(1/2)+146/9), 9/10*((22216/81)^(1/2)-146/9)}
x in { -9/10*((22216/81)^(1/2)+146/9), 9/10*((22216/81)^(1/2)-146/9) }
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