1-8/t-20/t2=0

Solution for 1-8/t-20/t2=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-(8/t)-(20/(t^2)) = 0

1-8*t^-1-20*t^-2 = 0

t_1 = t^-1

1-20*t_1^2-8*t_1^1 = 0

1-20*t_1^2-8*t_1 = 0

DELTA = (-8)^2-(-20*1*4)

DELTA = 144

DELTA > 0

t_1 = (144^(1/2)+8)/(-20*2) or t_1 = (8-144^(1/2))/(-20*2)

t_1 = -1/2 or t_1 = 1/10

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_1 = 1/10

t^-1-1/10 = 0

1*t^-1 = 1/10 // : 1

t^-1 = 1/10

-1 < 0

1/(t^1) = 1/10 // * t^1

1 = 1/10*t^1 // : 1/10

10 = t^1

t = 10

t in { -2, 10 }