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x in (-oo:+oo)
y = (1/2)*(x-5)^2-12 // - (1/2)*(x-5)^2-12
y-((1/2)*(x-5)^2)+12 = 0
(-1/2)*(x-5)^2+y+12 = 0
y-1/2*(x-5)^2+12 = 0
y-1/2*(x-5)^2+12 = 0
5*x-1/2*x^2+y-25/2+12 = 0
5*x-1/2*x^2+y-1/2 = 0
5*x-1/2*x^2+y-1/2 = 0
5*x-1/2*x^2+y-1/2 = 0
DELTA = 5^2-(-1/2*4*(y-1/2))
DELTA = 2*(y-1/2)+25
2*(y-1/2)+25 = 0
2*(y-1/2)+25 = 0
2*y+24 = 0
2*y+24 = 0
2*y+24 = 0 // - 24
2*y = -24 // : 2
y = -24/2
y = -12
DELTA = 0 <=> t_3 = -12
x = -5/(-1/2*2) i y = -12
x = 5 i y = -12
( x = ((2*(y-1/2)+25)^(1/2)-5)/(-1/2*2) or x = (-(2*(y-1/2)+25)^(1/2)-5)/(-1/2*2) ) i y > -12
( x = 5-(2*(y-1/2)+25)^(1/2) or x = (2*(y-1/2)+25)^(1/2)+5 ) i y > -12
y+12 > 0
y+12 > 0 // - 12
y > -12
x in { 5, 5-(2*(y-1/2)+25)^(1/2), (2*(y-1/2)+25)^(1/2)+5 }
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