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D( y )
y-3 = 0
y^2-9 = 0
y-3 = 0
y-3 = 0
y-3 = 0 // + 3
y = 3
y^2-9 = 0
y^2-9 = 0
1*y^2 = 9 // : 1
y^2 = 9
y^2 = 9 // ^ 1/2
abs(y) = 3
y = 3 or y = -3
y in (-oo:-3) U (-3:3) U (3:+oo)
5/(y-3)-(30/(y^2-9)) = 1 // - 1
5/(y-3)-(30/(y^2-9))-1 = 0
5/(y-3)-30*(y^2-9)^-1-1 = 0
5/(y-3)-30/(y^2-9)-1 = 0
(5*(y^2-9))/((y-3)*(y^2-9))+(-30*(y-3))/((y-3)*(y^2-9))+(-1*(y-3)*(y^2-9))/((y-3)*(y^2-9)) = 0
5*(y^2-9)-30*(y-3)-1*(y-3)*(y^2-9) = 0
5*y^2-y^3+3*y^2-30*y+9*y-27+45 = 0
8*y^2-y^3-21*y+18 = 0
8*y^2-y^3-21*y+18 = 0
8*y^2-y^3-21*y+18 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18 }
1
y = 1
8*y^2-y^3-21*y+18 = 4
1
-1
y = -1
8*y^2-y^3-21*y+18 = 48
-1
2
y = 2
8*y^2-y^3-21*y+18 = 0
2
y-2
6*y-y^2-9
8*y^2-y^3-21*y+18
y-2
y^3-2*y^2
6*y^2-21*y+18
12*y-6*y^2
18-9*y
9*y-18
0
6*y-y^2-9 = 0
DELTA = 6^2-(-9*(-1)*4)
DELTA = 0
y = -6/(-1*2)
y = 3 or y = 3
y in { 3, 3, 2}
(y-3)^2*(y-2) = 0
((y-3)^2*(y-2))/((y-3)*(y^2-9)) = 0
((y-3)^2*(y-2))/((y-3)*(y^2-9)) = 0 // * (y-3)*(y^2-9)
(y-3)^2*(y-2) = 0
( y-2 )
y-2 = 0 // + 2
y = 2
( y-3 )
y-3 = 0 // + 3
y = 3
y in { 3}
y = 2
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