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D( t )
t^2 = 0
t^2 = 0
t^2 = 0
1*t^2 = 0 // : 1
t^2 = 0
t = 0
t in (-oo:0) U (0:+oo)
t^2-(8*t)-(16/(t^2))+16 = 0
t^2-8*t-16*t^-2+16 = 0
1*t^2-8*t^1-16*t^-2+16*t^0 = 0
(1*t^4-8*t^3+16*t^2-16*t^0)/(t^2) = 0 // * t^4
t^2*(1*t^4-8*t^3+16*t^2-16*t^0) = 0
t^2
t^4-8*t^3+16*t^2-16 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16 }
1
t = 1
t^4-8*t^3+16*t^2-16 = -7
1
-1
t = -1
t^4-8*t^3+16*t^2-16 = 9
-1
2
t = 2
t^4-8*t^3+16*t^2-16 = 0
2
t-2
t^3-6*t^2+4*t+8
t^4-8*t^3+16*t^2-16
t-2
2*t^3-t^4
16*t^2-6*t^3-16
6*t^3-12*t^2
4*t^2-16
8*t-4*t^2
8*t-16
16-8*t
0
t^3-6*t^2+4*t+8 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8 }
1
t = 1
t^3-6*t^2+4*t+8 = 7
1
-1
t = -1
t^3-6*t^2+4*t+8 = -3
-1
2
t = 2
t^3-6*t^2+4*t+8 = 0
2
t-2
t^2-4*t-4
t^3-6*t^2+4*t+8
t-2
2*t^2-t^3
4*t-4*t^2+8
4*t^2-8*t
8-4*t
4*t-8
0
t^2-4*t-4 = 0
DELTA = (-4)^2-(-4*1*4)
DELTA = 32
DELTA > 0
t = (32^(1/2)+4)/(1*2) or t = (4-32^(1/2))/(1*2)
t = (4*2^(1/2)+4)/2 or t = (4-4*2^(1/2))/2
t in { (4-4*2^(1/2))/2, (4*2^(1/2)+4)/2, 2, 2}
t in { (4-4*2^(1/2))/2, (4*2^(1/2)+4)/2, 2, 2 }
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