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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)
8*x+1/(x^2) = 0
8*x^1+1*x^-2 = 0
(8*x^3+1*x^0)/(x^2) = 0 // * x^4
x^2*(8*x^3+1*x^0) = 0
x^2
8*x^3+1 = 0
{ 1, -1 }
1
x = 1
8*x^3+1 = 9
1
-1
x = -1
8*x^3+1 = -7
-1
{ 1/2, -1/2, 1/4, -1/4, 1/8, -1/8, -1/2, 1/2, -1/4, 1/4, -1/8, 1/8 }
1/2
x
1/2
8*x^3+1 = 2
1/2
-1/2
x
-1/2
8*x^3+1 = 0
-1/2
x+1/2
8*x^2-4*x+2
8*x^3+1
x+1/2
-8*x^3-4*x^2
1-4*x^2
4*x^2+2*x
2*x+1
-2*x-1
0
8*x^2-4*x+2 = 0
DELTA = (-4)^2-(2*4*8)
DELTA = -48
DELTA < 0
x in { -1/2}
x = -1/2
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