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D( t )
t = 0
t = 0
t = 0
t in (-oo:0) U (0:+oo)
5*t-(9/t) = 9 // - 9
5*t-(9/t)-9 = 0
5*t-9*t^-1-9 = 0
5*t^1-9*t^-1-9*t^0 = 0
(5*t^2-9*t^1-9*t^0)/(t^1) = 0 // * t^2
t^1*(5*t^2-9*t^1-9*t^0) = 0
t^1
5*t^2-9*t-9 = 0
5*t^2-9*t-9 = 0
DELTA = (-9)^2-(-9*4*5)
DELTA = 261
DELTA > 0
t = (261^(1/2)+9)/(2*5) or t = (9-261^(1/2))/(2*5)
t = (3*29^(1/2)+9)/10 or t = (9-3*29^(1/2))/10
t in { (9-3*29^(1/2))/10, (3*29^(1/2)+9)/10}
t in { (9-3*29^(1/2))/10, (3*29^(1/2)+9)/10 }
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