1-2/t-24/t^2=0

Solution for 1-2/t-24/t^2=0 equation:

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)

1-(2/t)-(24/(t^2)) = 0

1-2*t^-1-24*t^-2 = 0

t_1 = t^-1

1-24*t_1^2-2*t_1^1 = 0

1-24*t_1^2-2*t_1 = 0

DELTA = (-2)^2-(-24*1*4)

DELTA = 100

DELTA > 0

t_1 = (100^(1/2)+2)/(-24*2) or t_1 = (2-100^(1/2))/(-24*2)

t_1 = -1/4 or t_1 = 1/6

t_1 = -1/4

t^-1+1/4 = 0

1*t^-1 = -1/4 // : 1

t^-1 = -1/4

-1 < 0

1/(t^1) = -1/4 // * t^1

1 = -1/4*t^1 // : -1/4

-4 = t^1

t = -4

t_1 = 1/6

t^-1-1/6 = 0

1*t^-1 = 1/6 // : 1

t^-1 = 1/6

-1 < 0

1/(t^1) = 1/6 // * t^1

1 = 1/6*t^1 // : 1/6

6 = t^1

t = 6

t in { -4, 6 }