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D( y )
y^2-16 = 0
y = 0
y+4 = 0
y^2-16 = 0
y^2-16 = 0
1*y^2 = 16 // : 1
y^2 = 16
y^2 = 16 // ^ 1/2
abs(y) = 4
y = 4 or y = -4
y = 0
y = 0
y+4 = 0
y+4 = 0
y+4 = 0 // - 4
y = -4
y in (-oo:-4) U (-4:0) U (0:4) U (4:+oo)
12/(y+4)+3/y = (11*y-4)/(y^2-16) // - (11*y-4)/(y^2-16)
12/(y+4)-((11*y-4)/(y^2-16))+3/y = 0
12/(y+4)+(-1*(11*y-4))/(y^2-16)+3/y = 0
(12*y*(y^2-16))/(y*(y+4)*(y^2-16))+(-1*y*(11*y-4)*(y+4))/(y*(y+4)*(y^2-16))+(3*(y+4)*(y^2-16))/(y*(y+4)*(y^2-16)) = 0
12*y*(y^2-16)-1*y*(11*y-4)*(y+4)+3*(y+4)*(y^2-16) = 0
y^3+3*y^3-40*y^2+12*y^2-176*y-48*y-192 = 0
4*y^3-28*y^2-224*y-192 = 0
4*y^3-28*y^2-224*y-192 = 0
4*(y^3-7*y^2-56*y-48) = 0
y^3-7*y^2-56*y-48 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 16, -16, 24, -24, 48, -48 }
1
y = 1
y^3-7*y^2-56*y-48 = -110
1
-1
y = -1
y^3-7*y^2-56*y-48 = 0
-1
y+1
y^2-8*y-48
y^3-7*y^2-56*y-48
y+1
-y^3-y^2
-8*y^2-56*y-48
8*y^2+8*y
-48*y-48
48*y+48
0
y^2-8*y-48 = 0
DELTA = (-8)^2-(-48*1*4)
DELTA = 256
DELTA > 0
y = (256^(1/2)+8)/(1*2) or y = (8-256^(1/2))/(1*2)
y = 12 or y = -4
y in { -4, 12, -1}
4*(y+4)*(y-12)*(y+1) = 0
(4*(y+4)*(y-12)*(y+1))/(y*(y+4)*(y^2-16)) = 0
(4*(y+4)*(y-12)*(y+1))/(y*(y+4)*(y^2-16)) = 0 // * y*(y+4)*(y^2-16)
4*(y+4)*(y-12)*(y+1) = 0
( y+1 )
y+1 = 0 // - 1
y = -1
( y+4 )
y+4 = 0 // - 4
y = -4
( y-12 )
y-12 = 0 // + 12
y = 12
y in { -4}
y in { -1, 12 }
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