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D( m )
m^2-4 = 0
m-2 = 0
m+2 = 0
m^2-4 = 0
m^2-4 = 0
1*m^2 = 4 // : 1
m^2 = 4
m^2 = 4 // ^ 1/2
abs(m) = 2
m = 2 or m = -2
m-2 = 0
m-2 = 0
m-2 = 0 // + 2
m = 2
m+2 = 0
m+2 = 0
m+2 = 0 // - 2
m = -2
m in (-oo:-2) U (-2:2) U (2:+oo)
21/(m^2-4) = (2*m)/(m+2)-((3*m)/(m-2)) // - (2*m)/(m+2)-((3*m)/(m-2))
21/(m^2-4)-((2*m)/(m+2))+(3*m)/(m-2) = 0
21/(m^2-4)-2*m*(m+2)^-1+(3*m)/(m-2) = 0
21/(m^2-4)+(-2*m)/(m+2)+(3*m)/(m-2) = 0
(21*(m+2)*(m-2))/((m^2-4)*(m+2)*(m-2))+(-2*m*(m^2-4)*(m-2))/((m^2-4)*(m+2)*(m-2))+(3*m*(m^2-4)*(m+2))/((m^2-4)*(m+2)*(m-2)) = 0
21*(m+2)*(m-2)-2*m*(m^2-4)*(m-2)+3*m*(m^2-4)*(m+2) = 0
3*m^4-2*m^4+4*m^3+6*m^3+29*m^2-12*m^2-16*m-24*m-84 = 0
m^4+10*m^3+17*m^2-40*m-84 = 0
m^4+10*m^3+17*m^2-40*m-84 = 0
m^4+10*m^3+17*m^2-40*m-84 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 7, -7, 12, -12, 14, -14, 21, -21, 28, -28, 42, -42, 84, -84 }
1
m = 1
m^4+10*m^3+17*m^2-40*m-84 = -96
1
-1
m = -1
m^4+10*m^3+17*m^2-40*m-84 = -36
-1
2
m = 2
m^4+10*m^3+17*m^2-40*m-84 = 0
2
m-2
m^3+12*m^2+41*m+42
m^4+10*m^3+17*m^2-40*m-84
m-2
2*m^3-m^4
12*m^3+17*m^2-40*m-84
24*m^2-12*m^3
41*m^2-40*m-84
82*m-41*m^2
42*m-84
84-42*m
0
m^3+12*m^2+41*m+42 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 7, -7, 14, -14, 21, -21, 42, -42 }
1
m = 1
m^3+12*m^2+41*m+42 = 96
1
-1
m = -1
m^3+12*m^2+41*m+42 = 12
-1
2
m = 2
m^3+12*m^2+41*m+42 = 180
2
-2
m = -2
m^3+12*m^2+41*m+42 = 0
-2
m+2
m^2+10*m+21
m^3+12*m^2+41*m+42
m+2
-m^3-2*m^2
10*m^2+41*m+42
-10*m^2-20*m
21*m+42
-21*m-42
0
m^2+10*m+21 = 0
DELTA = 10^2-(1*4*21)
DELTA = 16
DELTA > 0
m = (16^(1/2)-10)/(1*2) or m = (-16^(1/2)-10)/(1*2)
m = -3 or m = -7
m in { -7, -3, 2, -2}
(m+7)*(m+3)*(m-2)*(m+2) = 0
((m+7)*(m+3)*(m-2)*(m+2))/((m^2-4)*(m+2)*(m-2)) = 0
((m+7)*(m+3)*(m-2)*(m+2))/((m^2-4)*(m+2)*(m-2)) = 0 // * (m^2-4)*(m+2)*(m-2)
(m+7)*(m+3)*(m-2)*(m+2) = 0
( m+2 )
m+2 = 0 // - 2
m = -2
( m+3 )
m+3 = 0 // - 3
m = -3
( m+7 )
m+7 = 0 // - 7
m = -7
( m-2 )
m-2 = 0 // + 2
m = 2
m in { -2}
m in { 2}
m in { -3, -7 }
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