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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(1/9)*x-(4/x)-(5/9)+5+45 = 0
(1/9)*x-4*x^-1-5/9+5+45 = 0
1/9*x^1-4*x^-1+445/9*x^0 = 0
(1/9*x^2+445/9*x^1-4*x^0)/(x^1) = 0 // * x^2
x^1*(1/9*x^2+445/9*x^1-4*x^0) = 0
x^1
(1/9)*x^2+(445/9)*x-4 = 0
(1/9)*x^2+(445/9)*x-4 = 0
DELTA = (445/9)^2-(-4*4*(1/9))
DELTA = 198169/81
DELTA > 0
x = ((198169/81)^(1/2)-(445/9))/(2*(1/9)) or x = (-(445/9)-(198169/81)^(1/2))/(2*(1/9))
x = 9/2*((198169/81)^(1/2)-445/9) or x = -9/2*((198169/81)^(1/2)+445/9)
x in { -9/2*((198169/81)^(1/2)+445/9), 9/2*((198169/81)^(1/2)-445/9)}
x in { -9/2*((198169/81)^(1/2)+445/9), 9/2*((198169/81)^(1/2)-445/9) }
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