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x in (-oo:+oo)
y = (1/2)*x^2+2*x-3 // - (1/2)*x^2+2*x-3
y-((1/2)*x^2)-(2*x)+3 = 0
(-1/2)*x^2-2*x+y+3 = 0
y-1/2*x^2-2*x+3 = 0
DELTA = (-2)^2-(-1/2*4*(y+3))
DELTA = 2*(y+3)+4
2*(y+3)+4 = 0
2*(y+3)+4 = 0
2*y+10 = 0
2*y+10 = 0
2*y+10 = 0 // - 10
2*y = -10 // : 2
y = -10/2
y = -5
DELTA = 0 <=> t_1 = -5
x = 2/(-1/2*2) i y = -5
x = -2 i y = -5
( x = ((2*(y+3)+4)^(1/2)+2)/(-1/2*2) or x = (2-(2*(y+3)+4)^(1/2))/(-1/2*2) ) i y > -5
( x = -((2*(y+3)+4)^(1/2)+2) or x = (2*(y+3)+4)^(1/2)-2 ) i y > -5
y+5 > 0
y+5 > 0 // - 5
y > -5
x in { -2, -((2*(y+3)+4)^(1/2)+2), (2*(y+3)+4)^(1/2)-2 }
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