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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
9/x-(5/2)+1 = (8/3)*x+3 // - (8/3)*x+3
9/x-((8/3)*x)-(5/2)-3+1 = 0
(-8/3)*x+9/x-5/2-3+1 = 0
9*x^-1-8/3*x^1-9/2*x^0 = 0
(9*x^0-8/3*x^2-9/2*x^1)/(x^1) = 0 // * x^2
x^1*(9*x^0-8/3*x^2-9/2*x^1) = 0
x^1
(-8/3)*x^2+(-9/2)*x+9 = 0
(-8/3)*x^2+(-9/2)*x+9 = 0
DELTA = (-9/2)^2-(4*9*(-8/3))
DELTA = 465/4
DELTA > 0
x = ((465/4)^(1/2)-(-9/2))/(2*(-8/3)) or x = (-(-9/2)-(465/4)^(1/2))/(2*(-8/3))
x = -3/16*((465/4)^(1/2)+9/2) or x = -3/16*(9/2-(465/4)^(1/2))
x in { -3/16*((465/4)^(1/2)+9/2), -3/16*(9/2-(465/4)^(1/2))}
x in { -3/16*((465/4)^(1/2)+9/2), -3/16*(9/2-(465/4)^(1/2)) }
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