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x in (-oo:+oo)
y = (1/2)*x^2+3*x+7/2 // - (1/2)*x^2+3*x+7/2
y-((1/2)*x^2)-(3*x)-(7/2) = 0
(-1/2)*x^2-3*x+y-7/2 = 0
y-1/2*x^2-3*x-7/2 = 0
DELTA = (-3)^2-(-1/2*4*(y-7/2))
DELTA = 2*(y-7/2)+9
2*(y-7/2)+9 = 0
2*(y-7/2)+9 = 0
2*y+2 = 0
2*y+2 = 0
2*y+2 = 0 // - 2
2*y = -2 // : 2
y = -2/2
y = -1
DELTA = 0 <=> t_1 = -1
x = 3/(-1/2*2) i y = -1
x = -3 i y = -1
( x = ((2*(y-7/2)+9)^(1/2)+3)/(-1/2*2) or x = (3-(2*(y-7/2)+9)^(1/2))/(-1/2*2) ) i y > -1
( x = -((2*(y-7/2)+9)^(1/2)+3) or x = (2*(y-7/2)+9)^(1/2)-3 ) i y > -1
y+1 > 0
y+1 > 0 // - 1
y > -1
x in { -3, -((2*(y-7/2)+9)^(1/2)+3), (2*(y-7/2)+9)^(1/2)-3 }
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