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D( t )
t^2-(3*t) = 0
t^2-9 = 0
t^2-(3*t) = 0
t^2-(3*t) = 0
t^2-3*t = 0
t^2-3*t = 0
DELTA = (-3)^2-(0*1*4)
DELTA = 9
DELTA > 0
t = (9^(1/2)+3)/(1*2) or t = (3-9^(1/2))/(1*2)
t = 3 or t = 0
t^2-9 = 0
t^2-9 = 0
1*t^2 = 9 // : 1
t^2 = 9
t^2 = 9 // ^ 1/2
abs(t) = 3
t = 3 or t = -3
t in (-oo:-3) U (-3:0) U (0:3) U (3:+oo)
(t-6)/(t^2-(3*t)) = -6/(t^2-9) // + -6/(t^2-9)
(t-6)/(t^2-(3*t))-(-6/(t^2-9)) = 0
(t-6)/(t^2-3*t)+6*(t^2-9)^-1 = 0
(t-6)/(t^2-3*t)+6/(t^2-9) = 0
t^2-3*t = 0
t^2-3*t = 0
t*(t-3) = 0
t-3 = 0 // + 3
t = 3
t*(t-3) = 0
(t-6)/(t*(t-3))+6/(t^2-9) = 0
((t-6)*(t^2-9))/(t*(t-3)*(t^2-9))+(6*t*(t-3))/(t*(t-3)*(t^2-9)) = 0
(t-6)*(t^2-9)+6*t*(t-3) = 0
t^3-27*t+54 = 0
t^3-27*t+54 = 0
t^3-27*t+54 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18, 27, -27, 54, -54 }
1
t = 1
t^3-27*t+54 = 28
1
-1
t = -1
t^3-27*t+54 = 80
-1
2
t = 2
t^3-27*t+54 = 8
2
-2
t = -2
t^3-27*t+54 = 100
-2
3
t = 3
t^3-27*t+54 = 0
3
t-3
t^2+3*t-18
t^3-27*t+54
t-3
3*t^2-t^3
3*t^2-27*t+54
9*t-3*t^2
54-18*t
18*t-54
0
t^2+3*t-18 = 0
DELTA = 3^2-(-18*1*4)
DELTA = 81
DELTA > 0
t = (81^(1/2)-3)/(1*2) or t = (-81^(1/2)-3)/(1*2)
t = 3 or t = -6
t in { -6, 3, 3}
(t+6)*(t-3)^2 = 0
((t+6)*(t-3)^2)/(t*(t-3)*(t^2-9)) = 0
((t+6)*(t-3)^2)/(t*(t-3)*(t^2-9)) = 0 // * t*(t-3)*(t^2-9)
(t+6)*(t-3)^2 = 0
( t+6 )
t+6 = 0 // - 6
t = -6
( t-3 )
t-3 = 0 // + 3
t = 3
t in { 3}
t = -6
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