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D( t )
t^2+8*t+7 = 0
t^2+8*t+7 = 0
t^2+8*t+7 = 0
t^2+8*t+7 = 0
DELTA = 8^2-(1*4*7)
DELTA = 36
DELTA > 0
t = (36^(1/2)-8)/(1*2) or t = (-36^(1/2)-8)/(1*2)
t = -1 or t = -7
t in (-oo:-7) U (-7:-1) U (-1:+oo)
(t^2+4*t+5)/(t^2+8*t+7) = 0
t^2+4*t+5 = 0
t^2+4*t+5 = 0
DELTA = 4^2-(1*4*5)
DELTA = -4
DELTA < 0
1 = 0
t^2+8*t+7 = 0
t^2+8*t+7 = 0
DELTA = 8^2-(1*4*7)
DELTA = 36
DELTA > 0
t = (36^(1/2)-8)/(1*2) or t = (-36^(1/2)-8)/(1*2)
t = -1 or t = -7
(t+7)*(t+1) = 0
1/((t+7)*(t+1)) = 0
t belongs to the empty set
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