w^2-5w=11/4

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Solution for w^2-5w=11/4 equation: 


w in (-oo:+oo)

w^2-(5*w) = 11/4 // - 11/4

w^2-(5*w)-(11/4) = 0

w^2-5*w-11/4 = 0

w^2-5*w-11/4 = 0

DELTA = (-5)^2-(-11/4*1*4)

DELTA = 36

DELTA > 0

w = (36^(1/2)+5)/(1*2) or w = (5-36^(1/2))/(1*2)

w = 11/2 or w = -1/2

w in { -1/2, 11/2 }

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