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D( x )
x^2-1024 = 0
x-32 = 0
x+32 = 0
x^2-1024 = 0
x^2-1024 = 0
1*x^2 = 1024 // : 1
x^2 = 1024
x^2 = 1024 // ^ 1/2
abs(x) = 32
x = 32 or x = -32
x-32 = 0
x-32 = 0
x-32 = 0 // + 32
x = 32
x+32 = 0
x+32 = 0
x+32 = 0 // - 32
x = -32
x in (-oo:-32) U (-32:32) U (32:+oo)
2/(x-32)-((5*x)/(x^2-1024)) = 5/(x+32) // - 5/(x+32)
2/(x-32)-((5*x)/(x^2-1024))-(5/(x+32)) = 0
2/(x-32)-5*x*(x^2-1024)^-1-5*(x+32)^-1 = 0
2/(x-32)+(-5*x)/(x^2-1024)-5/(x+32) = 0
(2*(x^2-1024)*(x+32))/((x-32)*(x^2-1024)*(x+32))+(-5*x*(x-32)*(x+32))/((x-32)*(x^2-1024)*(x+32))+(-5*(x-32)*(x^2-1024))/((x-32)*(x^2-1024)*(x+32)) = 0
2*(x^2-1024)*(x+32)-5*x*(x-32)*(x+32)-5*(x-32)*(x^2-1024) = 0
64*x^2-3*x^3-5*x^3+160*x^2+3072*x+5120*x-163840-65536 = 0
224*x^2-8*x^3+8192*x-229376 = 0
224*x^2-8*x^3+8192*x-229376 = 0
8*(28*x^2-x^3+1024*x-28672) = 0
28*x^2-x^3+1024*x-28672 = 0
{ 1, -1, 2, -2, 4, -4, 7, -7, 8, -8, 14, -14, 16, -16, 28, -28, 32, -32, 56, -56, 64, -64, 112, -112, 128, -128, 224, -224, 256, -256, 448, -448, 512, -512, 896, -896, 1024, -1024, 1792, -1792, 2048, -2048, 3584, -3584, 4096, -4096, 7168, -7168, 14336, -14336, 28672, -28672 }
1
x = 1
28*x^2-x^3+1024*x-28672 = -27621
1
-1
x = -1
28*x^2-x^3+1024*x-28672 = -29667
-1
2
x = 2
28*x^2-x^3+1024*x-28672 = -26520
2
-2
x = -2
28*x^2-x^3+1024*x-28672 = -30600
-2
4
x = 4
28*x^2-x^3+1024*x-28672 = -24192
4
-4
x = -4
28*x^2-x^3+1024*x-28672 = -32256
-4
7
x = 7
28*x^2-x^3+1024*x-28672 = -20475
7
-7
x = -7
28*x^2-x^3+1024*x-28672 = -34125
-7
8
x = 8
28*x^2-x^3+1024*x-28672 = -19200
8
-8
x = -8
28*x^2-x^3+1024*x-28672 = -34560
-8
14
x = 14
28*x^2-x^3+1024*x-28672 = -11592
14
-14
x = -14
28*x^2-x^3+1024*x-28672 = -34776
-14
16
x = 16
28*x^2-x^3+1024*x-28672 = -9216
16
-16
x = -16
28*x^2-x^3+1024*x-28672 = -33792
-16
28
x = 28
28*x^2-x^3+1024*x-28672 = 0
28
x-28
1024-x^2
28*x^2-x^3+1024*x-28672
x-28
x^3-28*x^2
1024*x-28672
28672-1024*x
0
1024-x^2 = 0
DELTA = 0^2-(-1*4*1024)
DELTA = 4096
DELTA > 0
x = (4096^(1/2)+0)/(-1*2) or x = (0-4096^(1/2))/(-1*2)
x = -32 or x = 32
x in { -32, 32, 28}
8*(x+32)*(x-32)*(x-28) = 0
(8*(x+32)*(x-32)*(x-28))/((x-32)*(x^2-1024)*(x+32)) = 0
(8*(x+32)*(x-32)*(x-28))/((x-32)*(x^2-1024)*(x+32)) = 0 // * (x-32)*(x^2-1024)*(x+32)
8*(x+32)*(x-32)*(x-28) = 0
( x+32 )
x+32 = 0 // - 32
x = -32
( x-28 )
x-28 = 0 // + 28
x = 28
( x-32 )
x-32 = 0 // + 32
x = 32
x in { -32}
x in { 32}
x = 28
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