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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(9/2)*x+1 = 4/x // - 4/x
(9/2)*x-(4/x)+1 = 0
(9/2)*x-4*x^-1+1 = 0
9/2*x^1-4*x^-1+1*x^0 = 0
(9/2*x^2+1*x^1-4*x^0)/(x^1) = 0 // * x^2
x^1*(9/2*x^2+1*x^1-4*x^0) = 0
x^1
(9/2)*x^2+x-4 = 0
(9/2)*x^2+x-4 = 0
DELTA = 1^2-(-4*4*(9/2))
DELTA = 73
DELTA > 0
x = (73^(1/2)-1)/(2*(9/2)) or x = (-73^(1/2)-1)/(2*(9/2))
x = (73^(1/2)-1)/9 or x = (-(73^(1/2)+1))/9
x in { (-(73^(1/2)+1))/9, (73^(1/2)-1)/9}
x in { (-(73^(1/2)+1))/9, (73^(1/2)-1)/9 }
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