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

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


t in (-oo:+oo)

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

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

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

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

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

DELTA = 13/9

DELTA > 0

t = ((13/9)^(1/2)+1)/(2/3*2) or t = (1-(13/9)^(1/2))/(2/3*2)

t = 3/4*((13/9)^(1/2)+1) or t = 3/4*(1-(13/9)^(1/2))

t in { 3/4*(1-(13/9)^(1/2)), 3/4*((13/9)^(1/2)+1) }

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