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x in (-oo:+oo)
Y = (-1/2)*x^2+4*x+1 // - (-1/2)*x^2+4*x+1
Y-((-1/2)*x^2)-(4*x)-1 = 0
Y+(1/2)*x^2-4*x-1 = 0
Y+1/2*x^2-4*x-1 = 0
DELTA = (-4)^2-(1/2*4*(Y-1))
DELTA = 16-2*(Y-1)
16-2*(Y-1) = 0
16-2*(Y-1) = 0
18-2*Y = 0
18-2*Y = 0
18-2*Y = 0 // - 18
-2*Y = -18 // : -2
Y = -18/(-2)
Y = 9
DELTA = 0 <=> t_1 = 9
x = 4/(1/2*2) i Y = 9
x = 4 i Y = 9
( x = ((16-2*(Y-1))^(1/2)+4)/(1/2*2) or x = (4-(16-2*(Y-1))^(1/2))/(1/2*2) ) i Y > 9
( x = (16-2*(Y-1))^(1/2)+4 or x = 4-(16-2*(Y-1))^(1/2) ) i Y > 9
Y-9 > 0
Y-9 > 0 // + 9
Y > 9
x in { 4, (16-2*(Y-1))^(1/2)+4, 4-(16-2*(Y-1))^(1/2) }
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