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D( t )
t+6 = 0
t^2-36 = 0
t+6 = 0
t+6 = 0
t+6 = 0 // - 6
t = -6
t^2-36 = 0
t^2-36 = 0
1*t^2 = 36 // : 1
t^2 = 36
t^2 = 36 // ^ 1/2
abs(t) = 6
t = 6 or t = -6
t in (-oo:-6) U (-6:6) U (6:+oo)
t/(t+6)-(6/(t^2-36))+7 = 0
t/(t+6)-6*(t^2-36)^-1+7 = 0
t/(t+6)-6/(t^2-36)+7 = 0
(t*(t^2-36))/((t+6)*(t^2-36))+(-6*(t+6))/((t+6)*(t^2-36))+(7*(t+6)*(t^2-36))/((t+6)*(t^2-36)) = 0
t*(t^2-36)-6*(t+6)+7*(t+6)*(t^2-36) = 0
t^3+7*t^3+42*t^2-42*t-252*t-1512-36 = 0
8*t^3+42*t^2-294*t-1548 = 0
8*t^3+42*t^2-294*t-1548 = 0
2*(4*t^3+21*t^2-147*t-774) = 0
4*t^3+21*t^2-147*t-774 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18, 43, -43, 86, -86, 129, -129, 258, -258, 387, -387, 774, -774 }
1
t = 1
4*t^3+21*t^2-147*t-774 = -896
1
-1
t = -1
4*t^3+21*t^2-147*t-774 = -610
-1
2
t = 2
4*t^3+21*t^2-147*t-774 = -952
2
-2
t = -2
4*t^3+21*t^2-147*t-774 = -428
-2
3
t = 3
4*t^3+21*t^2-147*t-774 = -918
3
-3
t = -3
4*t^3+21*t^2-147*t-774 = -252
-3
6
t = 6
4*t^3+21*t^2-147*t-774 = -36
6
-6
t = -6
4*t^3+21*t^2-147*t-774 = 0
-6
t+6
4*t^2-3*t-129
4*t^3+21*t^2-147*t-774
t+6
-4*t^3-24*t^2
-3*t^2-147*t-774
3*t^2+18*t
-129*t-774
129*t+774
0
4*t^2-3*t-129 = 0
DELTA = (-3)^2-(-129*4*4)
DELTA = 2073
DELTA > 0
t = (2073^(1/2)+3)/(2*4) or t = (3-2073^(1/2))/(2*4)
t = (2073^(1/2)+3)/8 or t = (3-2073^(1/2))/8
t in { (3-2073^(1/2))/8, (2073^(1/2)+3)/8, -6}
2*(t-((3-2073^(1/2))/8))*(t-((2073^(1/2)+3)/8))*(t+6) = 0
(2*(t-((3-2073^(1/2))/8))*(t-((2073^(1/2)+3)/8))*(t+6))/((t+6)*(t^2-36)) = 0
(2*(t-((3-2073^(1/2))/8))*(t-((2073^(1/2)+3)/8))*(t+6))/((t+6)*(t^2-36)) = 0 // * (t+6)*(t^2-36)
2*(t-((3-2073^(1/2))/8))*(t-((2073^(1/2)+3)/8))*(t+6) = 0
( t+6 )
t+6 = 0 // - 6
t = -6
( t-((2073^(1/2)+3)/8) )
t-((2073^(1/2)+3)/8) = 0 // + (2073^(1/2)+3)/8
t = (2073^(1/2)+3)/8
( t-((3-2073^(1/2))/8) )
t-((3-2073^(1/2))/8) = 0 // + (3-2073^(1/2))/8
t = (3-2073^(1/2))/8
t in { -6}
t in { (2073^(1/2)+3)/8, (3-2073^(1/2))/8 }
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