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x in (-oo:+oo)
y = (1/3)*x^2+2*x+52 // - (1/3)*x^2+2*x+52
y-((1/3)*x^2)-(2*x)-52 = 0
(-1/3)*x^2-2*x+y-52 = 0
y-1/3*x^2-2*x-52 = 0
DELTA = (-2)^2-(-1/3*4*(y-52))
DELTA = 4/3*(y-52)+4
4/3*(y-52)+4 = 0
4/3*(y-52)+4 = 0
4/3*y-196/3 = 0
4/3*y-196/3 = 0
4/3*y-196/3 = 0 // + 196/3
4/3*y = 196/3 // : 4/3
y = 196/3/4/3
y = 49
DELTA = 0 <=> t_1 = 49
x = 2/(-1/3*2) i y = 49
x = -3 i y = 49
( x = ((4/3*(y-52)+4)^(1/2)+2)/(-1/3*2) or x = (2-(4/3*(y-52)+4)^(1/2))/(-1/3*2) ) i y > 49
( x = -3/2*((4/3*(y-52)+4)^(1/2)+2) or x = -3/2*(2-(4/3*(y-52)+4)^(1/2)) ) i y > 49
y-49 > 0
y-49 > 0 // + 49
y > 49
x in { -3, -3/2*((4/3*(y-52)+4)^(1/2)+2), -3/2*(2-(4/3*(y-52)+4)^(1/2)) }
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