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x in (-oo:+oo)
(x-1)/3+x*((19-x^2)/3) = 6 // - 6
(x-1)/3+x*((19-x^2)/3)-6 = 0
(x-1)/3+(x*(19-x^2))/3-6 = 0
(x-1)/3+(x*(19-x^2))/3+(-6*3)/3 = 0
x*(19-x^2)+x-6*3-1 = 0
20*x-x^3-18-1 = 0
20*x-x^3-19 = 0
20*x-x^3-19 = 0
20*x-x^3-19 = 0
{ 1, -1, 19, -19 }
1
x = 1
20*x-x^3-19 = 0
1
x-1
19-x^2-x
20*x-x^3-19
x-1
x^3-x^2
20*x-x^2-19
x^2-x
19*x-19
19-19*x
0
19-x^2-x = 0
DELTA = (-1)^2-(-1*4*19)
DELTA = 77
DELTA > 0
x = (77^(1/2)+1)/(-1*2) or x = (1-77^(1/2))/(-1*2)
x = (77^(1/2)+1)/(-2) or x = (1-77^(1/2))/(-2)
x in { (77^(1/2)+1)/(-2), (1-77^(1/2))/(-2), 1}
(x-((77^(1/2)+1)/(-2)))*(x-((1-77^(1/2))/(-2)))*(x-1) = 0
((x-((77^(1/2)+1)/(-2)))*(x-((1-77^(1/2))/(-2)))*(x-1))/3 = 0
((x-((77^(1/2)+1)/(-2)))*(x-((1-77^(1/2))/(-2)))*(x-1))/3 = 0 // * 3
(x-((77^(1/2)+1)/(-2)))*(x-((1-77^(1/2))/(-2)))*(x-1) = 0
( x-((1-77^(1/2))/(-2)) )
x-((1-77^(1/2))/(-2)) = 0 // + (1-77^(1/2))/(-2)
x = (1-77^(1/2))/(-2)
( x-((77^(1/2)+1)/(-2)) )
x-((77^(1/2)+1)/(-2)) = 0 // + (77^(1/2)+1)/(-2)
x = (77^(1/2)+1)/(-2)
( x-1 )
x-1 = 0 // + 1
x = 1
x in { (1-77^(1/2))/(-2), (77^(1/2)+1)/(-2), 1 }
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