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D( m )
(m+7)^-1 = 0
m+7 = 0
(m+7)^-1 = 0
(m+7)^-1 = 0
1/(m+7) = 0
m+7 = 0
m+7 = 0
m+7 = 0 // - 7
m = -7
m in (-oo:-7) U (-7:+oo)
(m^3+m^2-(36*m)+42)/((m+7)^-1) = 0
(m^3+m^2-36*m+42)/((m+7)^-1) = 0
(m^3+m^2-36*m+42)*(m+7) = 0
m^3+m^2-36*m+42 = 0
m^3+m^2-36*m+42 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 7, -7, 14, -14, 21, -21, 42, -42 }
1
m = 1
m^3+m^2-36*m+42 = 8
1
-1
m = -1
m^3+m^2-36*m+42 = 78
-1
2
m = 2
m^3+m^2-36*m+42 = -18
2
-2
m = -2
m^3+m^2-36*m+42 = 110
-2
3
m = 3
m^3+m^2-36*m+42 = -30
3
-3
m = -3
m^3+m^2-36*m+42 = 132
-3
6
m = 6
m^3+m^2-36*m+42 = 78
6
-6
m = -6
m^3+m^2-36*m+42 = 78
-6
7
m = 7
m^3+m^2-36*m+42 = 182
7
-7
m = -7
m^3+m^2-36*m+42 = 0
-7
m+7
m^2-6*m+6
m^3+m^2-36*m+42
m+7
-m^3-7*m^2
42-6*m^2-36*m
6*m^2+42*m
6*m+42
-6*m-42
0
m^2-6*m+6 = 0
DELTA = (-6)^2-(1*4*6)
DELTA = 12
DELTA > 0
m = (12^(1/2)+6)/(1*2) or m = (6-12^(1/2))/(1*2)
m = (2*3^(1/2)+6)/2 or m = (6-2*3^(1/2))/2
m in { (6-2*3^(1/2))/2, (2*3^(1/2)+6)/2, -7}
(m-((6-2*3^(1/2))/2))*(m-((2*3^(1/2)+6)/2))*(m+7) = 0
(m-((6-2*3^(1/2))/2))*(m-((2*3^(1/2)+6)/2))*(m+7)^2 = 0
( m+7 )
m+7 = 0 // - 7
m = -7
( m-((2*3^(1/2)+6)/2) )
m-((2*3^(1/2)+6)/2) = 0 // + (2*3^(1/2)+6)/2
m = (2*3^(1/2)+6)/2
( m-((6-2*3^(1/2))/2) )
m-((6-2*3^(1/2))/2) = 0 // + (6-2*3^(1/2))/2
m = (6-2*3^(1/2))/2
m in { -7}
m in { (2*3^(1/2)+6)/2, (6-2*3^(1/2))/2 }
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