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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(9/2)*x+2 = 8/x // - 8/x
(9/2)*x-(8/x)+2 = 0
(9/2)*x-8*x^-1+2 = 0
9/2*x^1-8*x^-1+2*x^0 = 0
(9/2*x^2+2*x^1-8*x^0)/(x^1) = 0 // * x^2
x^1*(9/2*x^2+2*x^1-8*x^0) = 0
x^1
(9/2)*x^2+2*x-8 = 0
(9/2)*x^2+2*x-8 = 0
DELTA = 2^2-(-8*4*(9/2))
DELTA = 148
DELTA > 0
x = (148^(1/2)-2)/(2*(9/2)) or x = (-148^(1/2)-2)/(2*(9/2))
x = (2*37^(1/2)-2)/9 or x = (-2*37^(1/2)-2)/9
x in { (-2*37^(1/2)-2)/9, (2*37^(1/2)-2)/9}
x in { (-2*37^(1/2)-2)/9, (2*37^(1/2)-2)/9 }
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