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D( t )
t^2 = 0
t = 0
t^2 = 0
t^2 = 0
1*t^2 = 0 // : 1
t^2 = 0
t = 0
t = 0
t = 0
t in (-oo:0) U (0:+oo)
5/t-(30/(t^2))-3+9 = 1 // - 1
5/t-(30/(t^2))-3-1+9 = 0
5/t-30*t^-2-3-1+9 = 0
5*t^-1-30*t^-2+5 = 0
t_1 = t^-1
5*t_1^1-30*t_1^2+5 = 0
5*t_1-30*t_1^2+5 = 0
DELTA = 5^2-(-30*4*5)
DELTA = 625
DELTA > 0
t_1 = (625^(1/2)-5)/(-30*2) or t_1 = (-625^(1/2)-5)/(-30*2)
t_1 = -1/3 or t_1 = 1/2
t_1 = -1/3
t^-1+1/3 = 0
1*t^-1 = -1/3 // : 1
t^-1 = -1/3
-1 < 0
1/(t^1) = -1/3 // * t^1
1 = -1/3*t^1 // : -1/3
-3 = t^1
t = -3
t_1 = 1/2
t^-1-1/2 = 0
1*t^-1 = 1/2 // : 1
t^-1 = 1/2
-1 < 0
1/(t^1) = 1/2 // * t^1
1 = 1/2*t^1 // : 1/2
2 = t^1
t = 2
t in { -3, 2 }
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