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x in (-oo:+oo)
t_1 = y^2+y-1/2
t_1+x^2+x = 0
t_1+x^2+x = 0
DELTA = 1^2-(1*4*t_1)
DELTA = 1-4*t_1
1-4*t_1 = 0
1-4*t_1 = 0 // - 1
-4*t_1 = -1 // : -4
t_1 = -1/(-4)
t_1 = 1/4
DELTA = 0 <=> t_2 = 1/4
x = -1/(1*2) i t_1 = 1/4
x = -1/2 i t_1 = 1/4
( x = ((1-4*t_1)^(1/2)-1)/(1*2) or x = (-(1-4*t_1)^(1/2)-1)/(1*2) ) i t_1 > 1/4
( x = ((1-4*t_1)^(1/2)-1)/2 or x = (-((1-4*t_1)^(1/2)+1))/2 ) i t_1 > 1/4
t_1-1/4 > 0
t_1-1/4 > 0 // + 1/4
t_1 > 1/4
x in { -1/2, ((1-4*(y^2+y-1/2))^(1/2)-1)/2, (-((1-4*(y^2+y-1/2))^(1/2)+1))/2 }
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