125/4=3t+3t^2

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Solution for 125/4=3t+3t^2 equation:


t in (-oo:+oo)

125/4 = 3*t^2+3*t // - 3*t^2+3*t

125/4-(3*t^2)-(3*t) = 0

125/4-3*t^2-3*t = 0

125/4-3*t^2-3*t = 0

DELTA = (-3)^2-(-3*4*125/4)

DELTA = 384

DELTA > 0

t = (384^(1/2)+3)/(-3*2) or t = (3-384^(1/2))/(-3*2)

t = (8*6^(1/2)+3)/(-6) or t = (3-8*6^(1/2))/(-6)

t in { (8*6^(1/2)+3)/(-6), (3-8*6^(1/2))/(-6) }

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