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D( s )
s-4 = 0
s^2-16 = 0
s-4 = 0
s-4 = 0
s-4 = 0 // + 4
s = 4
s^2-16 = 0
s^2-16 = 0
1*s^2 = 16 // : 1
s^2 = 16
s^2 = 16 // ^ 1/2
abs(s) = 4
s = 4 or s = -4
s in (-oo:-4) U (-4:4) U (4:+oo)
3/(s-4)+1 = 14/(s^2-16) // - 14/(s^2-16)
3/(s-4)-(14/(s^2-16))+1 = 0
3/(s-4)-14*(s^2-16)^-1+1 = 0
3/(s-4)-14/(s^2-16)+1 = 0
(3*(s^2-16))/((s-4)*(s^2-16))+(-14*(s-4))/((s-4)*(s^2-16))+(1*(s-4)*(s^2-16))/((s-4)*(s^2-16)) = 0
3*(s^2-16)-14*(s-4)+1*(s-4)*(s^2-16) = 0
s^3+3*s^2-4*s^2-14*s-16*s+8+64 = 0
s^3-s^2-30*s+72 = 0
s^3-s^2-30*s+72 = 0
s^3-s^2-30*s+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
s = 1
s^3-s^2-30*s+72 = 42
1
-1
s = -1
s^3-s^2-30*s+72 = 100
-1
2
s = 2
s^3-s^2-30*s+72 = 16
2
-2
s = -2
s^3-s^2-30*s+72 = 120
-2
3
s = 3
s^3-s^2-30*s+72 = 0
3
s-3
s^2+2*s-24
s^3-s^2-30*s+72
s-3
3*s^2-s^3
2*s^2-30*s+72
6*s-2*s^2
72-24*s
24*s-72
0
s^2+2*s-24 = 0
DELTA = 2^2-(-24*1*4)
DELTA = 100
DELTA > 0
s = (100^(1/2)-2)/(1*2) or s = (-100^(1/2)-2)/(1*2)
s = 4 or s = -6
s in { -6, 4, 3}
(s+6)*(s-4)*(s-3) = 0
((s+6)*(s-4)*(s-3))/((s-4)*(s^2-16)) = 0
((s+6)*(s-4)*(s-3))/((s-4)*(s^2-16)) = 0 // * (s-4)*(s^2-16)
(s+6)*(s-4)*(s-3) = 0
( s+6 )
s+6 = 0 // - 6
s = -6
( s-3 )
s-3 = 0 // + 3
s = 3
( s-4 )
s-4 = 0 // + 4
s = 4
s in { 4}
s in { -6, 3 }
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