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x in (-oo:+oo)
y = (1/2)*x^2+x+2 // - (1/2)*x^2+x+2
y-((1/2)*x^2)-x-2 = 0
(-1/2)*x^2-x+y-2 = 0
y-1/2*x^2-x-2 = 0
DELTA = (-1)^2-(-1/2*4*(y-2))
DELTA = 2*(y-2)+1
2*(y-2)+1 = 0
2*(y-2)+1 = 0
2*y-3 = 0
2*y-3 = 0
2*y-3 = 0 // + 3
2*y = 3 // : 2
y = 3/2
DELTA = 0 <=> t_1 = 3/2
x = 1/(-1/2*2) i y = 3/2
x = -1 i y = 3/2
( x = ((2*(y-2)+1)^(1/2)+1)/(-1/2*2) or x = (1-(2*(y-2)+1)^(1/2))/(-1/2*2) ) i y > 3/2
( x = -((2*(y-2)+1)^(1/2)+1) or x = (2*(y-2)+1)^(1/2)-1 ) i y > 3/2
y-(3/2) > 0
y-3/2 > 0
y-3/2 > 0 // + 3/2
y > 3/2
x in { -1, -((2*(y-2)+1)^(1/2)+1), (2*(y-2)+1)^(1/2)-1 }
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