1-6/t-27/t^2=0

Solution for 1-6/t-27/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-(6/t)-(27/(t^2)) = 0

1-6*t^-1-27*t^-2 = 0

t_1 = t^-1

1-27*t_1^2-6*t_1^1 = 0

1-27*t_1^2-6*t_1 = 0

DELTA = (-6)^2-(-27*1*4)

DELTA = 144

DELTA > 0

t_1 = (144^(1/2)+6)/(-27*2) or t_1 = (6-144^(1/2))/(-27*2)

t_1 = -1/3 or t_1 = 1/9

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 = 1/9

t^-1-1/9 = 0

1*t^-1 = 1/9 // : 1

t^-1 = 1/9

-1 < 0

1/(t^1) = 1/9 // * t^1

1 = 1/9*t^1 // : 1/9

9 = t^1

t = 9

t in { -3, 9 }