6=t^2-t/2

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


t in (-oo:+oo)

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

t/2-t^2+6 = 0

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

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

DELTA = 97/4

DELTA > 0

t = ((97/4)^(1/2)-1/2)/(-1*2) or t = (-(97/4)^(1/2)-1/2)/(-1*2)

t = ((97/4)^(1/2)-1/2)/(-2) or t = ((97/4)^(1/2)+1/2)/2

t in { ((97/4)^(1/2)-1/2)/(-2), ((97/4)^(1/2)+1/2)/2 }

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