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x in (-oo:+oo)
Y = (-1/2)*x^2+(3/2)*x+3 // - (-1/2)*x^2+(3/2)*x+3
Y-((-1/2)*x^2)-((3/2)*x)-3 = 0
Y+(1/2)*x^2+(-3/2)*x-3 = 0
Y+1/2*x^2-3/2*x-3 = 0
DELTA = (-3/2)^2-(1/2*4*(Y-3))
DELTA = 9/4-2*(Y-3)
9/4-2*(Y-3) = 0
(-2*4*(Y-3))/4+9/4 = 0
9-2*4*(Y-3) = 0
33-8*Y = 0
(33-8*Y)/4 = 0
(33-8*Y)/4 = 0 // * 4
33-8*Y = 0
33-8*Y = 0 // - 33
-8*Y = -33 // : -8
Y = -33/(-8)
Y = 33/8
DELTA = 0 <=> t_1 = 33/8
x = 3/2/(1/2*2) i Y = 33/8
x = 3/2 i Y = 33/8
( x = ((9/4-2*(Y-3))^(1/2)+3/2)/(1/2*2) or x = (3/2-(9/4-2*(Y-3))^(1/2))/(1/2*2) ) i Y > 33/8
( x = (9/4-2*(Y-3))^(1/2)+3/2 or x = 3/2-(9/4-2*(Y-3))^(1/2) ) i Y > 33/8
Y-33/8 > 0
Y-33/8 > 0 // + 33/8
Y > 33/8
x in { 3/2, (9/4-2*(Y-3))^(1/2)+3/2, 3/2-(9/4-2*(Y-3))^(1/2) }
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