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D( g )
g+3 = 0
g+3 = 0
g+3 = 0
g+3 = 0 // - 3
g = -3
g in (-oo:-3) U (-3:+oo)
(8*g^3+19*g^2-(12*g)+9)/(g+3) = 0
(8*g^3+19*g^2-12*g+9)/(g+3) = 0
8*g^3+19*g^2-12*g+9 = 0
8*g^3+19*g^2-12*g+9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
g = 1
8*g^3+19*g^2-12*g+9 = 24
1
-1
g = -1
8*g^3+19*g^2-12*g+9 = 32
-1
3
g = 3
8*g^3+19*g^2-12*g+9 = 360
3
-3
g = -3
8*g^3+19*g^2-12*g+9 = 0
-3
g+3
8*g^2-5*g+3
8*g^3+19*g^2-12*g+9
g+3
-8*g^3-24*g^2
9-5*g^2-12*g
5*g^2+15*g
3*g+9
-3*g-9
0
8*g^2-5*g+3 = 0
DELTA = (-5)^2-(3*4*8)
DELTA = -71
DELTA < 0
g in { -3}
g+3 = 0
1 = 0
g belongs to the empty set
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