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x in (-oo:+oo)
X-((5/9)*x^2)+6*x-(2/3) = 0
X+(-5/9)*x^2+6*x-2/3 = 0
X-5/9*x^2+6*x-2/3 = 0
DELTA = 6^2-(-5/9*4*(X-2/3))
DELTA = 20/9*(X-2/3)+36
20/9*(X-2/3)+36 = 0
20/9*(X-2/3)+36 = 0
20/9*X+932/27 = 0
20/9*X+932/27 = 0
20/9*X+932/27 = 0 // - 932/27
20/9*X = -932/27 // : 20/9
X = -932/27/20/9
X = -233/15
DELTA = 0 <=> t_1 = -233/15
x = -6/(-5/9*2) i X = -233/15
x = 27/5 i X = -233/15
( x = ((20/9*(X-2/3)+36)^(1/2)-6)/(-5/9*2) or x = (-(20/9*(X-2/3)+36)^(1/2)-6)/(-5/9*2) ) i X > -233/15
( x = -9/10*((20/9*(X-2/3)+36)^(1/2)-6) or x = 9/10*((20/9*(X-2/3)+36)^(1/2)+6) ) i X > -233/15
X+233/15 > 0
X+233/15 > 0 // - 233/15
X > -233/15
x in { 27/5, -9/10*((20/9*(X-2/3)+36)^(1/2)-6), 9/10*((20/9*(X-2/3)+36)^(1/2)+6) }
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