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D( t )
5*t-12 = 0
t = 0
5*t-12 = 0
5*t-12 = 0
5*t-12 = 0 // + 12
5*t = 12 // : 5
t = 12/5
t = 0
t = 0
t in (-oo:0) U (0:12/5) U (12/5:+oo)
2/t = t/(5*t-12) // - t/(5*t-12)
2/t-(t/(5*t-12)) = 0
(-1*t)/(5*t-12)+2/t = 0
(-1*t^2)/(t*(5*t-12))+(2*(5*t-12))/(t*(5*t-12)) = 0
2*(5*t-12)-1*t^2 = 0
10*t-t^2-24 = 0
10*t-t^2-24 = 0
10*t-t^2-24 = 0
DELTA = 10^2-(-24*(-1)*4)
DELTA = 4
DELTA > 0
t = (4^(1/2)-10)/(-1*2) or t = (-4^(1/2)-10)/(-1*2)
t = 4 or t = 6
(t-4)*(t-6) = 0
((t-4)*(t-6))/(t*(5*t-12)) = 0
((t-4)*(t-6))/(t*(5*t-12)) = 0 // * t*(5*t-12)
(t-4)*(t-6) = 0
( t-4 )
t-4 = 0 // + 4
t = 4
( t-6 )
t-6 = 0 // + 6
t = 6
t in { 4, 6 }
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