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x in (-oo:+oo)
y = (1/2)*(x-2)^2-8 // - (1/2)*(x-2)^2-8
y-((1/2)*(x-2)^2)+8 = 0
(-1/2)*(x-2)^2+y+8 = 0
y-1/2*(x-2)^2+8 = 0
y-1/2*(x-2)^2+8 = 0
2*x-1/2*x^2+y-2+8 = 0
2*x-1/2*x^2+y+6 = 0
2*x-1/2*x^2+y+6 = 0
2*x-1/2*x^2+y+6 = 0
DELTA = 2^2-(-1/2*4*(y+6))
DELTA = 2*(y+6)+4
2*(y+6)+4 = 0
2*(y+6)+4 = 0
2*y+16 = 0
2*y+16 = 0
2*y+16 = 0 // - 16
2*y = -16 // : 2
y = -16/2
y = -8
DELTA = 0 <=> t_3 = -8
x = -2/(-1/2*2) i y = -8
x = 2 i y = -8
( x = ((2*(y+6)+4)^(1/2)-2)/(-1/2*2) or x = (-(2*(y+6)+4)^(1/2)-2)/(-1/2*2) ) i y > -8
( x = 2-(2*(y+6)+4)^(1/2) or x = (2*(y+6)+4)^(1/2)+2 ) i y > -8
y+8 > 0
y+8 > 0 // - 8
y > -8
x in { 2, 2-(2*(y+6)+4)^(1/2), (2*(y+6)+4)^(1/2)+2 }
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