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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
1/x-x-(1/5) = 0
1/x-x-1/5 = 0
1*x^-1-1*x^1-1/5*x^0 = 0
(1*x^0-1*x^2-1/5*x^1)/(x^1) = 0 // * x^2
x^1*(1*x^0-1*x^2-1/5*x^1) = 0
x^1
(-1/5)*x-x^2+1 = 0
(-1/5)*x-x^2+1 = 0
DELTA = (-1/5)^2-(-1*1*4)
DELTA = 101/25
DELTA > 0
x = ((101/25)^(1/2)-(-1/5))/(-1*2) or x = (-(-1/5)-(101/25)^(1/2))/(-1*2)
x = ((101/25)^(1/2)+1/5)/(-2) or x = (1/5-(101/25)^(1/2))/(-2)
x in { ((101/25)^(1/2)+1/5)/(-2), (1/5-(101/25)^(1/2))/(-2)}
x in { ((101/25)^(1/2)+1/5)/(-2), (1/5-(101/25)^(1/2))/(-2) }
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