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D( t )
t^2+4*t+3 = 0
t+3 = 0
t+1 = 0
t^2+4*t+3 = 0
t^2+4*t+3 = 0
t^2+4*t+3 = 0
DELTA = 4^2-(1*3*4)
DELTA = 4
DELTA > 0
t = (4^(1/2)-4)/(1*2) or t = (-4^(1/2)-4)/(1*2)
t = -1 or t = -3
t+3 = 0
t+3 = 0
t+3 = 0 // - 3
t = -3
t+1 = 0
t+1 = 0
t+1 = 0 // - 1
t = -1
t in (-oo:-3) U (-3:-1) U (-1:+oo)
1/(t+1)+9/(t+3) = 2/(t^2+4*t+3) // - 2/(t^2+4*t+3)
1/(t+1)+9/(t+3)-(2/(t^2+4*t+3)) = 0
1/(t+1)+9/(t+3)-2*(t^2+4*t+3)^-1 = 0
1/(t+1)+9/(t+3)-2/(t^2+4*t+3) = 0
t^2+4*t+3 = 0
t^2+4*t+3 = 0
t^2+4*t+3 = 0
DELTA = 4^2-(1*3*4)
DELTA = 4
DELTA > 0
t = (4^(1/2)-4)/(1*2) or t = (-4^(1/2)-4)/(1*2)
t = -1 or t = -3
(t+3)*(t+1) = 0
1/(t+1)+9/(t+3)-2/((t+3)*(t+1)) = 0
(1*(t+3))/((t+1)*(t+3))+(9*(t+1))/((t+1)*(t+3))-2/((t+1)*(t+3)) = 0
1*(t+3)+9*(t+1)-2 = 0
10*t-2+12 = 0
10*t+10 = 0
(10*t+10)/((t+1)*(t+3)) = 0
(10*t+10)/((t+1)*(t+3)) = 0 // * (t+1)*(t+3)
10*t+10 = 0
10*t+10 = 0 // - 10
10*t = -10 // : 10
t = -10/10
t = -1
t in { -1}
t belongs to the empty set
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