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x in (-oo:+oo)
(1/6)*x^2+(1/2)*x-(2/3) = o // - o
(1/6)*x^2-o+(1/2)*x-(2/3) = 0
(1/6)*x^2-o+(1/2)*x-2/3 = 0
1/6*x^2-o+1/2*x-2/3 = 0
DELTA = (1/2)^2-(1/6*4*(-o-2/3))
DELTA = 2/3*(o+2/3)+1/4
2/3*(o+2/3)+1/4 = 0
(2/3*4*(o+2/3))/4+1/4 = 0
2/3*4*(o+2/3)+1 = 0
8/3*o+25/9 = 0
(8/3*o+25/9)/4 = 0
(8/3*o+25/9)/4 = 0 // * 4
8/3*o+25/9 = 0
8/3*o+25/9 = 0 // - 25/9
8/3*o = -25/9 // : 8/3
o = -25/9/8/3
o = -25/24
DELTA = 0 <=> t_1 = -25/24
x = -1/2/(1/6*2) i o = -25/24
x = -3/2 i o = -25/24
( x = ((2/3*(o+2/3)+1/4)^(1/2)-1/2)/(1/6*2) or x = (-(2/3*(o+2/3)+1/4)^(1/2)-1/2)/(1/6*2) ) i o > -25/24
( x = 3*((2/3*(o+2/3)+1/4)^(1/2)-1/2) or x = -3*((2/3*(o+2/3)+1/4)^(1/2)+1/2) ) i o > -25/24
o+25/24 > 0
o+25/24 > 0 // - 25/24
o > -25/24
x in { -3/2, 3*((2/3*(o+2/3)+1/4)^(1/2)-1/2), -3*((2/3*(o+2/3)+1/4)^(1/2)+1/2) }
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