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x in (-oo:+oo)
(1/2)*x^2-((7/2)*x)-5 > 0
(1/2)*x^2+(-7/2)*x-5 > 0
1/2*x^2-7/2*x-5 > 0
DELTA = (-7/2)^2-(-5*1/2*4)
DELTA = 89/4
DELTA > 0
x = ((89/4)^(1/2)+7/2)/(1/2*2) or x = (7/2-(89/4)^(1/2))/(1/2*2)
x = (89/4)^(1/2)+7/2 or x = 7/2-(89/4)^(1/2)
a = 1/2
a > 0
x in (-oo:7/2-(89/4)^(1/2)) U ((89/4)^(1/2)+7/2:+oo)
x in (-oo:7/2-(89/4)^(1/2)) U ((89/4)^(1/2)+7/2:+oo)
(-oo:7/2-(89/4)^(1/2)) U ((89/4)^(1/2)+7/2:+oo)
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