3-1/t-2/t^2=0

Solution for 3-1/t-2/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)

3-(1/t)-(2/(t^2)) = 0

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

t_1 = t^-1

3-2*t_1^2-1*t_1^1 = 0

3-2*t_1^2-t_1 = 0

DELTA = (-1)^2-(-2*3*4)

DELTA = 25

DELTA > 0

t_1 = (25^(1/2)+1)/(-2*2) or t_1 = (1-25^(1/2))/(-2*2)

t_1 = -3/2 or t_1 = 1

t_1 = -3/2

t^-1+3/2 = 0

1*t^-1 = -3/2 // : 1

t^-1 = -3/2

-1 < 0

1/(t^1) = -3/2 // * t^1

1 = -3/2*t^1 // : -3/2

-2/3 = t^1

t = -2/3

t_1 = 1

t^-1-1 = 0

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

t^-1 = 1

-1 < 0

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

1 = 1*t^1 // : 1

1 = t^1

t = 1

t in { -2/3, 1 }