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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x^2+4*x-(32/x)-8 = 0
x^2+4*x-32*x^-1-8 = 0
1*x^2+4*x^1-32*x^-1-8*x^0 = 0
(1*x^3+4*x^2-8*x^1-32*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^3+4*x^2-8*x^1-32*x^0) = 0
x^1
x^3+4*x^2-8*x-32 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32 }
1
x = 1
x^3+4*x^2-8*x-32 = -35
1
-1
x = -1
x^3+4*x^2-8*x-32 = -21
-1
2
x = 2
x^3+4*x^2-8*x-32 = -24
2
-2
x = -2
x^3+4*x^2-8*x-32 = -8
-2
4
x = 4
x^3+4*x^2-8*x-32 = 64
4
-4
x = -4
x^3+4*x^2-8*x-32 = 0
-4
x+4
x^2-8
x^3+4*x^2-8*x-32
x+4
-x^3-4*x^2
-8*x-32
8*x+32
0
x^2-8 = 0
DELTA = 0^2-(-8*1*4)
DELTA = 32
DELTA > 0
x = (32^(1/2)+0)/(1*2) or x = (0-32^(1/2))/(1*2)
x = 2*2^(1/2) or x = -2*2^(1/2)
x in { -2*2^(1/2), 2*2^(1/2), -4}
x in { -2*2^(1/2), 2*2^(1/2), -4 }
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