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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(2/5)*x = 1/x+2 // - 1/x+2
(2/5)*x-(1/x)-2 = 0
(2/5)*x-x^-1-2 = 0
2/5*x^1-1*x^-1-2*x^0 = 0
(2/5*x^2-2*x^1-1*x^0)/(x^1) = 0 // * x^2
x^1*(2/5*x^2-2*x^1-1*x^0) = 0
x^1
(2/5)*x^2-2*x-1 = 0
(2/5)*x^2-2*x-1 = 0
DELTA = (-2)^2-(-1*4*(2/5))
DELTA = 28/5
DELTA > 0
x = ((28/5)^(1/2)+2)/(2*(2/5)) or x = (2-(28/5)^(1/2))/(2*(2/5))
x = 5/4*((28/5)^(1/2)+2) or x = 5/4*(2-(28/5)^(1/2))
x in { 5/4*(2-(28/5)^(1/2)), 5/4*((28/5)^(1/2)+2)}
x in { 5/4*(2-(28/5)^(1/2)), 5/4*((28/5)^(1/2)+2) }
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