5t^2/2=t/2+2

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Solution for 5t^2/2=t/2+2 equation: 


t in (-oo:+oo)

(5*t^2)/2 = t/2+2 // - t/2+2

(5*t^2)/2-(t/2)-2 = 0

5/2*t^2-1/2*t-2 = 0

DELTA = (-1/2)^2-(-2*5/2*4)

DELTA = 81/4

DELTA > 0

t = ((81/4)^(1/2)+1/2)/(2*5/2) or t = (1/2-(81/4)^(1/2))/(2*5/2)

t = 1 or t = -4/5

t in { -4/5, 1 }

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