2/3t^2-t=-1/6

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Solution for 2/3t^2-t=-1/6 equation: 


t in (-oo:+oo)

(2/3)*t^2-t = -1/6 // + -1/6

(2/3)*t^2-t-(-1/6) = 0

(2/3)*t^2-t+1/6 = 0

2/3*t^2-t+1/6 = 0

DELTA = (-1)^2-(1/6*2/3*4)

DELTA = 5/9

DELTA > 0

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

t = 3/4*((5/9)^(1/2)+1) or t = 3/4*(1-(5/9)^(1/2))

t in { 3/4*(1-(5/9)^(1/2)), 3/4*((5/9)^(1/2)+1) }

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