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D( x )
x = 0
x^2 = 0
x = 0
x = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
x+x-x+2/x-(5/(x^2))+1/2-6+3 = 0
x+x-x+2/x-5*x^-2+1/2-6+3 = 0
1*x^1+2*x^-1-5*x^-2-5/2*x^0 = 0
(1*x^3-5/2*x^2+2*x^1-5*x^0)/(x^2) = 0 // * x^4
x^2*(1*x^3-5/2*x^2+2*x^1-5*x^0) = 0
x^2
x^3+(-5/2)*x^2+2*x-5 = 0
x^3+(-5/2)*x^2+2*x-5 = 0 // * 0
{ 1, -1, 2, -2, 5, -5, 10, -10 }
1
x = 1
2*x^3-5*x^2+4*x-10 = -9
1
-1
x = -1
2*x^3-5*x^2+4*x-10 = -21
-1
2
x = 2
2*x^3-5*x^2+4*x-10 = -6
2
-2
x = -2
2*x^3-5*x^2+4*x-10 = -54
-2
5
x = 5
2*x^3-5*x^2+4*x-10 = 135
5
-5
x = -5
2*x^3-5*x^2+4*x-10 = -405
-5
10
x = 10
2*x^3-5*x^2+4*x-10 = 1530
10
-10
x = -10
2*x^3-5*x^2+4*x-10 = -2550
-10
{ 1/2, -1/2, -1/2, 1/2, 2/2, -2/2, -2/2, 2/2, 5/2, -5/2, -5/2, 5/2, 10/2, -10/2, -10/2, 10/2 }
1/2
x
1/2
2*x^3-5*x^2+4*x-10 = -9
1/2
-1/2
x
-1/2
2*x^3-5*x^2+4*x-10 = -13.5
-1/2
-1/2
x
-1/2
2*x^3-5*x^2+4*x-10 = -13.5
-1/2
1/2
x
1/2
2*x^3-5*x^2+4*x-10 = -9
1/2
2/2
x
2/2
2*x^3-5*x^2+4*x-10 = -9
2/2
-2/2
x
-2/2
2*x^3-5*x^2+4*x-10 = -21
-2/2
-2/2
x
-2/2
2*x^3-5*x^2+4*x-10 = -21
-2/2
2/2
x
2/2
2*x^3-5*x^2+4*x-10 = -9
2/2
5/2
x
5/2
2*x^3-5*x^2+4*x-10 = 0
5/2
x-5/2
2*x^2+4
2*x^3-5*x^2+4*x-10
x-5/2
5*x^2-2*x^3
4*x-10
10-4*x
0
2*x^2+4 = 0
DELTA = 0^2-(2*4*4)
DELTA = -32
DELTA < 0
x in { 5/2}
x = 5/2
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