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w in (-oo:+oo)
(8/2)*w^2-(2*w)-((7/2)*w)-2 = 0
(8/2)*w^2-2*w+(-7/2)*w-2 = 0
4*w^2-11/2*w-2 = 0
DELTA = (-11/2)^2-(-2*4*4)
DELTA = 249/4
DELTA > 0
w = ((249/4)^(1/2)+11/2)/(2*4) or w = (11/2-(249/4)^(1/2))/(2*4)
w = ((249/4)^(1/2)+11/2)/8 or w = (11/2-(249/4)^(1/2))/8
w in { (11/2-(249/4)^(1/2))/8, ((249/4)^(1/2)+11/2)/8 }
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