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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*x^2-(6*x)-(100/x) = 0
2*x^2-6*x-100*x^-1 = 0
2*x^2-6*x^1-100*x^-1 = 0
(2*x^3-6*x^2-100*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^3-6*x^2-100*x^0) = 0
x^1
2*x^3-6*x^2-100 = 0
{ 1, -1, 2, -2, 4, -4, 5, -5, 10, -10, 20, -20, 25, -25, 50, -50, 100, -100 }
1
x = 1
2*x^3-6*x^2-100 = -104
1
-1
x = -1
2*x^3-6*x^2-100 = -108
-1
2
x = 2
2*x^3-6*x^2-100 = -108
2
-2
x = -2
2*x^3-6*x^2-100 = -140
-2
4
x = 4
2*x^3-6*x^2-100 = -68
4
-4
x = -4
2*x^3-6*x^2-100 = -324
-4
5
x = 5
2*x^3-6*x^2-100 = 0
5
x-5
2*x^2+4*x+20
2*x^3-6*x^2-100
x-5
10*x^2-2*x^3
4*x^2-100
20*x-4*x^2
20*x-100
100-20*x
0
2*x^2+4*x+20 = 0
DELTA = 4^2-(2*4*20)
DELTA = -144
DELTA < 0
x in { 5}
x = 5
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