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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-(512/(x^2)) = 0
8*x-512*x^-2 = 0
8*x^1-512*x^-2 = 0
(8*x^3-512*x^0)/(x^2) = 0 // * x^4
x^2*(8*x^3-512*x^0) = 0
x^2
8*x^3-512 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32, 64, -64, 128, -128, 256, -256, 512, -512 }
1
x = 1
8*x^3-512 = -504
1
-1
x = -1
8*x^3-512 = -520
-1
2
x = 2
8*x^3-512 = -448
2
-2
x = -2
8*x^3-512 = -576
-2
4
x = 4
8*x^3-512 = 0
4
x-4
8*x^2+32*x+128
8*x^3-512
x-4
32*x^2-8*x^3
32*x^2-512
128*x-32*x^2
128*x-512
512-128*x
0
8*x^2+32*x+128 = 0
DELTA = 32^2-(4*8*128)
DELTA = -3072
DELTA < 0
x in { 4}
x = 4
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