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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)
4/t+1+5 = 15/(t^2)-25 // - 15/(t^2)-25
4/t-(15/(t^2))+1+5+25 = 0
4/t-15*t^-2+1+5+25 = 0
4*t^-1-15*t^-2+31 = 0
t_1 = t^-1
4*t_1^1-15*t_1^2+31 = 0
4*t_1-15*t_1^2+31 = 0
DELTA = 4^2-(-15*4*31)
DELTA = 1876
DELTA > 0
t_1 = (1876^(1/2)-4)/(-15*2) or t_1 = (-1876^(1/2)-4)/(-15*2)
t_1 = (2*469^(1/2)-4)/(-30) or t_1 = (-2*469^(1/2)-4)/(-30)
t_1 = (2*469^(1/2)-4)/(-30)
t^-1-((2*469^(1/2)-4)/(-30)) = 0
1*t^-1 = (2*469^(1/2)-4)/(-30) // : 1
t^-1 = (2*469^(1/2)-4)/(-30)
-1 < 0
1/(t^1) = (2*469^(1/2)-4)/(-30) // * t^1
1 = ((2*469^(1/2)-4)/(-30))*t^1 // : (2*469^(1/2)-4)/(-30)
-30*(2*469^(1/2)-4)^-1 = t^1
t = -30*(2*469^(1/2)-4)^-1
t_1 = (-2*469^(1/2)-4)/(-30)
t^-1-((-2*469^(1/2)-4)/(-30)) = 0
1*t^-1 = (-2*469^(1/2)-4)/(-30) // : 1
t^-1 = (-2*469^(1/2)-4)/(-30)
-1 < 0
1/(t^1) = (-2*469^(1/2)-4)/(-30) // * t^1
1 = ((-2*469^(1/2)-4)/(-30))*t^1 // : (-2*469^(1/2)-4)/(-30)
-30*(-2*469^(1/2)-4)^-1 = t^1
t = -30*(-2*469^(1/2)-4)^-1
t in { -30*(2*469^(1/2)-4)^-1, -30*(-2*469^(1/2)-4)^-1 }
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