t^2-t/2=55

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Solution for t^2-t/2=55 equation: 


t in (-oo:+oo)

t^2-(t/2) = 55 // - 55

t^2-(t/2)-55 = 0

t^2-1/2*t-55 = 0

DELTA = (-1/2)^2-(-55*1*4)

DELTA = 881/4

DELTA > 0

t = ((881/4)^(1/2)+1/2)/(1*2) or t = (1/2-(881/4)^(1/2))/(1*2)

t = ((881/4)^(1/2)+1/2)/2 or t = (1/2-(881/4)^(1/2))/2

t in { (1/2-(881/4)^(1/2))/2, ((881/4)^(1/2)+1/2)/2 }

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