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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
0 = 2*x-(2000/(x^2)) // - 2*x-(2000/(x^2))
2000/(x^2)-(2*x)+0 = 0
2000/(x^2)-2*x = 0
2000*x^-2-2*x^1 = 0
(2000*x^0-2*x^3)/(x^2) = 0 // * x^4
x^2*(2000*x^0-2*x^3) = 0
x^2
2000-2*x^3 = 0
{ 1, -1, 2, -2, 4, -4, 5, -5, 8, -8, 10, -10, 16, -16, 20, -20, 25, -25, 40, -40, 50, -50, 80, -80, 100, -100, 125, -125, 200, -200, 250, -250, 400, -400, 500, -500, 1000, -1000, 2000, -2000 }
1
x = 1
2000-2*x^3 = 1998
1
-1
x = -1
2000-2*x^3 = 2002
-1
2
x = 2
2000-2*x^3 = 1984
2
-2
x = -2
2000-2*x^3 = 2016
-2
4
x = 4
2000-2*x^3 = 1872
4
-4
x = -4
2000-2*x^3 = 2128
-4
5
x = 5
2000-2*x^3 = 1750
5
-5
x = -5
2000-2*x^3 = 2250
-5
8
x = 8
2000-2*x^3 = 976
8
-8
x = -8
2000-2*x^3 = 3024
-8
10
x = 10
2000-2*x^3 = 0
10
x-10
-2*x^2-20*x-200
2000-2*x^3
x-10
2*x^3-20*x^2
2000-20*x^2
20*x^2-200*x
2000-200*x
200*x-2000
0
-2*x^2-20*x-200 = 0
DELTA = (-20)^2-(-200*(-2)*4)
DELTA = -1200
DELTA < 0
x in { 10}
x = 10
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