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D( t )
3*t+4 = 0
3*t+4 = 0
3*t+4 = 0
3*t+4 = 0 // - 4
3*t = -4 // : 3
t = -4/3
t in (-oo:-4/3) U (-4/3:+oo)
(2*t^2+13*t+12)/(3*t+4) = 0
2*t^2+13*t+12 = 0
2*t^2+13*t+12 = 0
DELTA = 13^2-(2*4*12)
DELTA = 73
DELTA > 0
t = (73^(1/2)-13)/(2*2) or t = (-73^(1/2)-13)/(2*2)
t = (73^(1/2)-13)/4 or t = (-(73^(1/2)+13))/4
(t+(73^(1/2)+13)/4)*(t-((73^(1/2)-13)/4)) = 0
((t+(73^(1/2)+13)/4)*(t-((73^(1/2)-13)/4)))/(3*t+4) = 0
( t+(73^(1/2)+13)/4 )
t+(73^(1/2)+13)/4 = 0 // - (73^(1/2)+13)/4
t = -((73^(1/2)+13)/4)
( t-((73^(1/2)-13)/4) )
t-((73^(1/2)-13)/4) = 0 // + (73^(1/2)-13)/4
t = (73^(1/2)-13)/4
t in { -((73^(1/2)+13)/4), (73^(1/2)-13)/4 }
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