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t in (-oo:+oo)
125/4 = 3*t^2+3*t // - 3*t^2+3*t
125/4-(3*t^2)-(3*t) = 0
125/4-3*t^2-3*t = 0
125/4-3*t^2-3*t = 0
DELTA = (-3)^2-(-3*4*125/4)
DELTA = 384
DELTA > 0
t = (384^(1/2)+3)/(-3*2) or t = (3-384^(1/2))/(-3*2)
t = (8*6^(1/2)+3)/(-6) or t = (3-8*6^(1/2))/(-6)
t in { (8*6^(1/2)+3)/(-6), (3-8*6^(1/2))/(-6) }
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