w^2/2-w=3/4

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Solution for w^2/2-w=3/4 equation: 


w in (-oo:+oo)

(w^2)/2-w = 3/4 // - 3/4

(w^2)/2-w-(3/4) = 0

(w^2)/2-w-3/4 = 0

1/2*w^2-w-3/4 = 0

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

DELTA = 5/2

DELTA > 0

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

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

w in { 1-(5/2)^(1/2), (5/2)^(1/2)+1 }

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