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x in (-oo:+oo)
y = (1/3)*(x-(5/2))^2-(27/4) // - (1/3)*(x-(5/2))^2-(27/4)
y-((1/3)*(x-(5/2))^2)+27/4 = 0
(-1/3)*(x-5/2)^2+y+27/4 = 0
y-1/3*(x-5/2)^2+27/4 = 0
(-1/3*4*(x-5/2)^2)/4+(4*y)/4+27/4 = 0
4*y-1/3*4*(x-5/2)^2+27 = 0
20/3*x-4/3*x^2+4*y-25/3+27 = 0
20/3*x-4/3*x^2+4*y+56/3 = 0
(20/3*x-4/3*x^2+4*y+56/3)/4 = 0
(20/3*x-4/3*x^2+4*y+56/3)/4 = 0 // * 4
20/3*x-4/3*x^2+4*y+56/3 = 0
20/3*x-4/3*x^2+4*y+56/3 = 0
DELTA = (20/3)^2-(-4/3*4*(4*y+56/3))
DELTA = 16/3*(4*y+56/3)+400/9
16/3*(4*y+56/3)+400/9 = 0
(16/3*9*(4*y+56/3))/9+400/9 = 0
16/3*9*(4*y+56/3)+400 = 0
192*y+1296 = 0
(192*y+1296)/9 = 0
(192*y+1296)/9 = 0 // * 9
192*y+1296 = 0
192*y+1296 = 0 // - 1296
192*y = -1296 // : 192
y = -1296/192
y = -27/4
DELTA = 0 <=> t_3 = -27/4
x = -20/3/(-4/3*2) i y = -27/4
x = 5/2 i y = -27/4
( x = ((16/3*(4*y+56/3)+400/9)^(1/2)-20/3)/(-4/3*2) or x = (-(16/3*(4*y+56/3)+400/9)^(1/2)-20/3)/(-4/3*2) ) i y > -27/4
( x = -3/8*((16/3*(4*y+56/3)+400/9)^(1/2)-20/3) or x = 3/8*((16/3*(4*y+56/3)+400/9)^(1/2)+20/3) ) i y > -27/4
y+27/4 > 0
y+27/4 > 0 // - 27/4
y > -27/4
x in { 5/2, -3/8*((16/3*(4*y+56/3)+400/9)^(1/2)-20/3), 3/8*((16/3*(4*y+56/3)+400/9)^(1/2)+20/3) }
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