1/2v^2-v=3/14

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Solution for 1/2v^2-v=3/14 equation:


v in (-oo:+oo)

(1/2)*v^2-v = 3/14 // - 3/14

(1/2)*v^2-v-(3/14) = 0

(1/2)*v^2-v-3/14 = 0

1/2*v^2-v-3/14 = 0

DELTA = (-1)^2-(-3/14*1/2*4)

DELTA = 10/7

DELTA > 0

v = ((10/7)^(1/2)+1)/(1/2*2) or v = (1-(10/7)^(1/2))/(1/2*2)

v = (10/7)^(1/2)+1 or v = 1-(10/7)^(1/2)

v in { 1-(10/7)^(1/2), (10/7)^(1/2)+1 }

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