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x in (-oo:+oo)
(1/2)*(x-9)^2+4 = 0
1/2*(x-9)^2+4 = 0
1/2*(x-9)^2+4 = 0
1/2*x^2-9*x+89/2 = 0
1/2*x^2-9*x+89/2 = 0
1/2*x^2-9*x+89/2 = 0
DELTA = (-9)^2-(1/2*4*89/2)
DELTA = -8
DELTA < 0
1 = 0
1 = 0
x belongs to the empty set
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