t^2/2+2t=-1/4

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Solution for t^2/2+2t=-1/4 equation: 


t in (-oo:+oo)

(t^2)/2+2*t = -1/4 // + -1/4

(t^2)/2+2*t-(-1/4) = 0

(t^2)/2+2*t+1/4 = 0

1/2*t^2+2*t+1/4 = 0

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

DELTA = 7/2

DELTA > 0

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

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

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

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