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

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


t in (-oo:+oo)

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

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

(t^2)/2+t+1/6 = 0

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

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

DELTA = 2/3

DELTA > 0

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

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

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

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