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D( v )
v+7 = 0
v+7 = 0
v+7 = 0
v+7 = 0 // - 7
v = -7
v in (-oo:-7) U (-7:+oo)
(v^3+10*v^2+15*v-42)/(v+7) = 0
v^3+10*v^2+15*v-42 = 0
v^3+10*v^2+15*v-42 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 7, -7, 14, -14, 21, -21, 42, -42 }
1
v = 1
v^3+10*v^2+15*v-42 = -16
1
-1
v = -1
v^3+10*v^2+15*v-42 = -48
-1
2
v = 2
v^3+10*v^2+15*v-42 = 36
2
-2
v = -2
v^3+10*v^2+15*v-42 = -40
-2
3
v = 3
v^3+10*v^2+15*v-42 = 120
3
-3
v = -3
v^3+10*v^2+15*v-42 = -24
-3
6
v = 6
v^3+10*v^2+15*v-42 = 624
6
-6
v = -6
v^3+10*v^2+15*v-42 = 12
-6
7
v = 7
v^3+10*v^2+15*v-42 = 896
7
-7
v = -7
v^3+10*v^2+15*v-42 = 0
-7
v+7
v^2+3*v-6
v^3+10*v^2+15*v-42
v+7
-v^3-7*v^2
3*v^2+15*v-42
-3*v^2-21*v
-6*v-42
6*v+42
0
v^2+3*v-6 = 0
DELTA = 3^2-(-6*1*4)
DELTA = 33
DELTA > 0
v = (33^(1/2)-3)/(1*2) or v = (-33^(1/2)-3)/(1*2)
v = (33^(1/2)-3)/2 or v = (-(33^(1/2)+3))/2
v in { (-(33^(1/2)+3))/2, (33^(1/2)-3)/2, -7}
(v+(33^(1/2)+3)/2)*(v-((33^(1/2)-3)/2))*(v+7) = 0
(v+(33^(1/2)+3)/2)*(v-((33^(1/2)-3)/2)) = 0
( v+(33^(1/2)+3)/2 )
v+(33^(1/2)+3)/2 = 0 // - (33^(1/2)+3)/2
v = -((33^(1/2)+3)/2)
( v-((33^(1/2)-3)/2) )
v-((33^(1/2)-3)/2) = 0 // + (33^(1/2)-3)/2
v = (33^(1/2)-3)/2
v in { -((33^(1/2)+3)/2), (33^(1/2)-3)/2 }
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