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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x+(9/8)*x+1 = x+4/x // - x+4/x
x+(9/8)*x-x-(4/x)+1 = 0
x+(9/8)*x-x-4*x^-1+1 = 0
9/8*x^1-4*x^-1+1*x^0 = 0
(9/8*x^2+1*x^1-4*x^0)/(x^1) = 0 // * x^2
x^1*(9/8*x^2+1*x^1-4*x^0) = 0
x^1
(9/8)*x^2+x-4 = 0
(9/8)*x^2+x-4 = 0
DELTA = 1^2-(-4*4*(9/8))
DELTA = 19
DELTA > 0
x = (19^(1/2)-1)/(2*(9/8)) or x = (-19^(1/2)-1)/(2*(9/8))
x = 4/9*(19^(1/2)-1) or x = -4/9*(19^(1/2)+1)
x in { -4/9*(19^(1/2)+1), 4/9*(19^(1/2)-1)}
x in { -4/9*(19^(1/2)+1), 4/9*(19^(1/2)-1) }
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