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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
9/x-x-3 = (3*x)/x-3 // - (3*x)/x-3
9/x-x-((3*x)/x)-3+3 = 0
9/x-x-3-3+3 = 0
9*x^-1-1*x^1-3*x^0 = 0
(9*x^0-1*x^2-3*x^1)/(x^1) = 0 // * x^2
x^1*(9*x^0-1*x^2-3*x^1) = 0
x^1
9-x^2-3*x = 0
9-x^2-3*x = 0
DELTA = (-3)^2-(-1*4*9)
DELTA = 45
DELTA > 0
x = (45^(1/2)+3)/(-1*2) or x = (3-45^(1/2))/(-1*2)
x = (3*5^(1/2)+3)/(-2) or x = (3-3*5^(1/2))/(-2)
x in { (3*5^(1/2)+3)/(-2), (3-3*5^(1/2))/(-2)}
x in { (3*5^(1/2)+3)/(-2), (3-3*5^(1/2))/(-2) }
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