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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5/2 = x-(8/x)-2 // - x-(8/x)-2
8/x-x+5/2+2 = 0
8*x^-1-1*x^1+9/2*x^0 = 0
(9/2*x^1-1*x^2+8*x^0)/(x^1) = 0 // * x^2
x^1*(9/2*x^1-1*x^2+8*x^0) = 0
x^1
(9/2)*x-x^2+8 = 0
(9/2)*x-x^2+8 = 0
DELTA = (9/2)^2-(-1*4*8)
DELTA = 209/4
DELTA > 0
x = ((209/4)^(1/2)-(9/2))/(-1*2) or x = (-(9/2)-(209/4)^(1/2))/(-1*2)
x = ((209/4)^(1/2)-9/2)/(-2) or x = ((209/4)^(1/2)+9/2)/2
x in { ((209/4)^(1/2)-9/2)/(-2), ((209/4)^(1/2)+9/2)/2}
x in { ((209/4)^(1/2)-9/2)/(-2), ((209/4)^(1/2)+9/2)/2 }
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