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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
100*x-(2000/x) = 0
100*x-2000*x^-1 = 0
100*x^1-2000*x^-1 = 0
(100*x^2-2000*x^0)/(x^1) = 0 // * x^2
x^1*(100*x^2-2000*x^0) = 0
x^1
100*x^2-2000 = 0
100*x^2-2000 = 0
DELTA = 0^2-(-2000*4*100)
DELTA = 800000
DELTA > 0
x = (800000^(1/2)+0)/(2*100) or x = (0-800000^(1/2))/(2*100)
x = 2*5^(1/2) or x = -2*5^(1/2)
x in { -2*5^(1/2), 2*5^(1/2)}
x in { -2*5^(1/2), 2*5^(1/2) }
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