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x in (-oo:+oo)
y = (1/2)*x^2-(10*x) // - (1/2)*x^2-(10*x)
10*x-((1/2)*x^2)+y = 0
(-1/2)*x^2+10*x+y = 0
10*x-1/2*x^2+y = 0
DELTA = 10^2-(-1/2*4*y)
DELTA = 2*y+100
2*y+100 = 0
2*y+100 = 0 // - 100
2*y = -100 // : 2
y = -100/2
y = -50
DELTA = 0 <=> t_1 = -50
x = -10/(-1/2*2) i y = -50
x = 10 i y = -50
( x = ((2*y+100)^(1/2)-10)/(-1/2*2) or x = (-(2*y+100)^(1/2)-10)/(-1/2*2) ) i y > -50
( x = 10-(2*y+100)^(1/2) or x = (2*y+100)^(1/2)+10 ) i y > -50
y+50 > 0
y+50 > 0 // - 50
y > -50
x in { 10, 10-(2*y+100)^(1/2), (2*y+100)^(1/2)+10 }
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