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D( w )
w-3 = 0
w-3 = 0
w-3 = 0
w-3 = 0 // + 3
w = 3
w in (-oo:3) U (3:+oo)
(w^3-(4*w^2)+7*w-12)/(w-3) = 0
(w^3-4*w^2+7*w-12)/(w-3) = 0
w^3-4*w^2+7*w-12 = 0
w^3-4*w^2+7*w-12 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12 }
1
w = 1
w^3-4*w^2+7*w-12 = -8
1
-1
w = -1
w^3-4*w^2+7*w-12 = -24
-1
2
w = 2
w^3-4*w^2+7*w-12 = -6
2
-2
w = -2
w^3-4*w^2+7*w-12 = -50
-2
3
w = 3
w^3-4*w^2+7*w-12 = 0
3
w-3
w^2-w+4
w^3-4*w^2+7*w-12
w-3
3*w^2-w^3
7*w-w^2-12
w^2-3*w
4*w-12
12-4*w
0
w^2-w+4 = 0
DELTA = (-1)^2-(1*4*4)
DELTA = -15
DELTA < 0
w in { 3}
w-3 = 0
1 = 0
w belongs to the empty set
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