t-5/9/t+2/6

Solution for t-5/9/t+2/6 equation:

D( t )

t = 0

t = 0

t = 0

t in (-oo:0) U (0:+oo)

t-((5/9)/t)+2/6 = 0

t+(-5/9)*t^-1+2/6 = 0

1*t^1-5/9*t^-1+1/3*t^0 = 0

(1*t^2+1/3*t^1-5/9*t^0)/(t^1) = 0 // * t^2

t^1*(1*t^2+1/3*t^1-5/9*t^0) = 0

t^1

t^2+(1/3)*t-5/9 = 0

t^2+(1/3)*t-5/9 = 0

DELTA = (1/3)^2-(1*4*(-5/9))

DELTA = 7/3

DELTA > 0

t = ((7/3)^(1/2)-(1/3))/(1*2) or t = (-(1/3)-(7/3)^(1/2))/(1*2)

t = ((7/3)^(1/2)-1/3)/2 or t = (-((7/3)^(1/2)+1/3))/2

t in { (-((7/3)^(1/2)+1/3))/2, ((7/3)^(1/2)-1/3)/2} 

t in { (-((7/3)^(1/2)+1/3))/2, ((7/3)^(1/2)-1/3)/2 }