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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*x^2-(10*x)-(1000/x) = 0
2*x^2-10*x-1000*x^-1 = 0
2*x^2-10*x^1-1000*x^-1 = 0
(2*x^3-10*x^2-1000*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^3-10*x^2-1000*x^0) = 0
x^1
2*x^3-10*x^2-1000 = 0
{ 1, -1, 2, -2, 4, -4, 5, -5, 8, -8, 10, -10, 20, -20, 25, -25, 40, -40, 50, -50, 100, -100, 125, -125, 200, -200, 250, -250, 500, -500, 1000, -1000 }
1
x = 1
2*x^3-10*x^2-1000 = -1008
1
-1
x = -1
2*x^3-10*x^2-1000 = -1012
-1
2
x = 2
2*x^3-10*x^2-1000 = -1024
2
-2
x = -2
2*x^3-10*x^2-1000 = -1056
-2
4
x = 4
2*x^3-10*x^2-1000 = -1032
4
-4
x = -4
2*x^3-10*x^2-1000 = -1288
-4
5
x = 5
2*x^3-10*x^2-1000 = -1000
5
-5
x = -5
2*x^3-10*x^2-1000 = -1500
-5
8
x = 8
2*x^3-10*x^2-1000 = -616
8
-8
x = -8
2*x^3-10*x^2-1000 = -2664
-8
10
x = 10
2*x^3-10*x^2-1000 = 0
10
x-10
2*x^2+10*x+100
2*x^3-10*x^2-1000
x-10
20*x^2-2*x^3
10*x^2-1000
100*x-10*x^2
100*x-1000
1000-100*x
0
2*x^2+10*x+100 = 0
DELTA = 10^2-(2*4*100)
DELTA = -700
DELTA < 0
x in { 10}
x = 10
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