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D( s )
s^3+22*s^2+31*s+10 = 0
s^3+22*s^2+31*s+10 = 0
s^3+22*s^2+31*s+10 = 0
s^3+22*s^2+31*s+10 = 0
{ 1, -1, 2, -2, 5, -5, 10, -10 }
1
s = 1
s^3+22*s^2+31*s+10 = 64
1
-1
s = -1
s^3+22*s^2+31*s+10 = 0
-1
s+1
s^2+21*s+10
s^3+22*s^2+31*s+10
s+1
-s^3-s^2
21*s^2+31*s+10
-21*s^2-21*s
10*s+10
-10*s-10
0
s^2+21*s+10 = 0
DELTA = 21^2-(1*4*10)
DELTA = 401
DELTA > 0
s = (401^(1/2)-21)/(1*2) or s = (-401^(1/2)-21)/(1*2)
s = (401^(1/2)-21)/2 or s = (-(401^(1/2)+21))/2
s in { (-(401^(1/2)+21))/2, (401^(1/2)-21)/2, -1}
s in (-oo:(-(401^(1/2)+21))/2) U ((-(401^(1/2)+21))/2:-1) U (-1:(401^(1/2)-21)/2) U ((401^(1/2)-21)/2:+oo)
(10*s+10)/(s^3+22*s^2+31*s+10) = 0
s^3+22*s^2+31*s+10 = 0
s^3+22*s^2+31*s+10 = 0
{ 1, -1, 2, -2, 5, -5, 10, -10 }
1
s = 1
s^3+22*s^2+31*s+10 = 64
1
-1
s = -1
s^3+22*s^2+31*s+10 = 0
-1
s+1
s^2+21*s+10
s^3+22*s^2+31*s+10
s+1
-s^3-s^2
21*s^2+31*s+10
-21*s^2-21*s
10*s+10
-10*s-10
0
s^2+21*s+10 = 0
DELTA = 21^2-(1*4*10)
DELTA = 401
DELTA > 0
s = (401^(1/2)-21)/(1*2) or s = (-401^(1/2)-21)/(1*2)
s = (401^(1/2)-21)/2 or s = (-(401^(1/2)+21))/2
s in { (-(401^(1/2)+21))/2, (401^(1/2)-21)/2, -1}
(s+(401^(1/2)+21)/2)*(s-((401^(1/2)-21)/2))*(s+1) = 0
(10*s+10)/((s+(401^(1/2)+21)/2)*(s-((401^(1/2)-21)/2))*(s+1)) = 0
10*s+10 = 0 // - 10
10*s = -10 // : 10
s = -10/10
s = -1
s in { -1}
s belongs to the empty set
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