t^2=8t+24/16

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Solution for t^2=8t+24/16 equation: 


t in (-oo:+oo)

t^2 = 8*t+24/16 // - 8*t+24/16

t^2-(8*t)-(24/16) = 0

t^2-8*t-3/2 = 0

t^2-8*t-3/2 = 0

DELTA = (-8)^2-(-3/2*1*4)

DELTA = 70

DELTA > 0

t = (70^(1/2)+8)/(1*2) or t = (8-70^(1/2))/(1*2)

t = (70^(1/2)+8)/2 or t = (8-70^(1/2))/2

t in { (8-70^(1/2))/2, (70^(1/2)+8)/2 }

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