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D( x )
x^3 = 0
x^3 = 0
x^3 = 0
1*x^3 = 0 // : 1
x^3 = 0
x = 0
x in (-oo:0) U (0:+oo)
32/(x^3)-(2*x) = 0
32/(x^3)-2*x = 0
32*x^-3-2*x^1 = 0
(32*x^0-2*x^4)/(x^3) = 0 // * x^6
x^3*(32*x^0-2*x^4) = 0
x^3
32-2*x^4 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32 }
1
x = 1
32-2*x^4 = 30
1
-1
x = -1
32-2*x^4 = 30
-1
2
x = 2
32-2*x^4 = 0
2
x-2
-2*x^3-4*x^2-8*x-16
32-2*x^4
x-2
2*x^4-4*x^3
32-4*x^3
4*x^3-8*x^2
32-8*x^2
8*x^2-16*x
32-16*x
16*x-32
0
-2*x^3-4*x^2-8*x-16 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16 }
1
x = 1
-2*x^3-4*x^2-8*x-16 = -30
1
-1
x = -1
-2*x^3-4*x^2-8*x-16 = -10
-1
2
x = 2
-2*x^3-4*x^2-8*x-16 = -64
2
-2
x = -2
-2*x^3-4*x^2-8*x-16 = 0
-2
x+2
-2*x^2-8
-2*x^3-4*x^2-8*x-16
x+2
2*x^3+4*x^2
-8*x-16
8*x+16
0
-2*x^2-8 = 0
DELTA = 0^2-(-8*(-2)*4)
DELTA = -64
DELTA < 0
x in { 2, -2}
x in { 2, -2 }
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