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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-(250/(x^2)) // - 2*x-(250/(x^2))
250/(x^2)-(2*x)+0 = 0
250/(x^2)-2*x = 0
250*x^-2-2*x^1 = 0
(250*x^0-2*x^3)/(x^2) = 0 // * x^4
x^2*(250*x^0-2*x^3) = 0
x^2
250-2*x^3 = 0
{ 1, -1, 2, -2, 5, -5, 10, -10, 25, -25, 50, -50, 125, -125, 250, -250 }
1
x = 1
250-2*x^3 = 248
1
-1
x = -1
250-2*x^3 = 252
-1
2
x = 2
250-2*x^3 = 234
2
-2
x = -2
250-2*x^3 = 266
-2
5
x = 5
250-2*x^3 = 0
5
x-5
-2*x^2-10*x-50
250-2*x^3
x-5
2*x^3-10*x^2
250-10*x^2
10*x^2-50*x
250-50*x
50*x-250
0
-2*x^2-10*x-50 = 0
DELTA = (-10)^2-(-50*(-2)*4)
DELTA = -300
DELTA < 0
x in { 5}
x = 5
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