1/t-1+1/3t-2=-1/3

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Solution for 1/t-1+1/3t-2=-1/3 equation: 


D( t )

t = 0

t = 0

t = 0

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

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

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

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

1/3*t^1+1*t^-1-8/3*t^0 = 0

(1/3*t^2-8/3*t^1+1*t^0)/(t^1) = 0 // * t^2

t^1*(1/3*t^2-8/3*t^1+1*t^0) = 0

t^1

(1/3)*t^2+(-8/3)*t+1 = 0

(1/3)*t^2+(-8/3)*t+1 = 0

DELTA = (-8/3)^2-(1*4*(1/3))

DELTA = 52/9

DELTA > 0

t = ((52/9)^(1/2)-(-8/3))/(2*(1/3)) or t = (-(-8/3)-(52/9)^(1/2))/(2*(1/3))

t = 3/2*((52/9)^(1/2)+8/3) or t = 3/2*(8/3-(52/9)^(1/2))

t in { 3/2*(8/3-(52/9)^(1/2)), 3/2*((52/9)^(1/2)+8/3)} 

t in { 3/2*(8/3-(52/9)^(1/2)), 3/2*((52/9)^(1/2)+8/3) }

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