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D( y )
y = 0
y+6 = 0
y^2-36 = 0
y = 0
y = 0
y+6 = 0
y+6 = 0
y+6 = 0 // - 6
y = -6
y^2-36 = 0
y^2-36 = 0
1*y^2 = 36 // : 1
y^2 = 36
y^2 = 36 // ^ 1/2
abs(y) = 6
y = 6 or y = -6
y in (-oo:-6) U (-6:0) U (0:6) U (6:+oo)
12/(y+6)+2/y = (8*y-6)/(y^2-36) // - (8*y-6)/(y^2-36)
12/(y+6)-((8*y-6)/(y^2-36))+2/y = 0
12/(y+6)+(-1*(8*y-6))/(y^2-36)+2/y = 0
(12*y*(y^2-36))/(y*(y+6)*(y^2-36))+(-1*y*(8*y-6)*(y+6))/(y*(y+6)*(y^2-36))+(2*(y+6)*(y^2-36))/(y*(y+6)*(y^2-36)) = 0
12*y*(y^2-36)-1*y*(8*y-6)*(y+6)+2*(y+6)*(y^2-36) = 0
4*y^3+2*y^3-42*y^2+12*y^2-396*y-72*y-432 = 0
6*y^3-30*y^2-468*y-432 = 0
6*y^3-30*y^2-468*y-432 = 0
6*(y^3-5*y^2-78*y-72) = 0
y^3-5*y^2-78*y-72 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 9, -9, 12, -12, 18, -18, 24, -24, 36, -36, 72, -72 }
1
y = 1
y^3-5*y^2-78*y-72 = -154
1
-1
y = -1
y^3-5*y^2-78*y-72 = 0
-1
y+1
y^2-6*y-72
y^3-5*y^2-78*y-72
y+1
-y^3-y^2
-6*y^2-78*y-72
6*y^2+6*y
-72*y-72
72*y+72
0
y^2-6*y-72 = 0
DELTA = (-6)^2-(-72*1*4)
DELTA = 324
DELTA > 0
y = (324^(1/2)+6)/(1*2) or y = (6-324^(1/2))/(1*2)
y = 12 or y = -6
y in { -6, 12, -1}
6*(y+6)*(y-12)*(y+1) = 0
(6*(y+6)*(y-12)*(y+1))/(y*(y+6)*(y^2-36)) = 0
(6*(y+6)*(y-12)*(y+1))/(y*(y+6)*(y^2-36)) = 0 // * y*(y+6)*(y^2-36)
6*(y+6)*(y-12)*(y+1) = 0
( y+1 )
y+1 = 0 // - 1
y = -1
( y+6 )
y+6 = 0 // - 6
y = -6
( y-12 )
y-12 = 0 // + 12
y = 12
y in { -6}
y in { -1, 12 }
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