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x in (-oo:+oo)
(1/2)*(2*x-3)^2+1 = 11 // - 11
(1/2)*(2*x-3)^2-11+1 = 0
1/2*(2*x-3)^2-11+1 = 0
1/2*(2*x-3)^2-11+1 = 0
2*x^2-6*x-13/2+1 = 0
2*x^2-6*x-11/2 = 0
2*x^2-6*x-11/2 = 0
2*x^2-6*x-11/2 = 0
DELTA = (-6)^2-(-11/2*2*4)
DELTA = 80
DELTA > 0
x = (80^(1/2)+6)/(2*2) or x = (6-80^(1/2))/(2*2)
x = (4*5^(1/2)+6)/4 or x = (6-4*5^(1/2))/4
(x-((6-4*5^(1/2))/4))*(x-((4*5^(1/2)+6)/4)) = 0
(x-((6-4*5^(1/2))/4))*(x-((4*5^(1/2)+6)/4)) = 0
( x-((4*5^(1/2)+6)/4) )
x-((4*5^(1/2)+6)/4) = 0 // + (4*5^(1/2)+6)/4
x = (4*5^(1/2)+6)/4
( x-((6-4*5^(1/2))/4) )
x-((6-4*5^(1/2))/4) = 0 // + (6-4*5^(1/2))/4
x = (6-4*5^(1/2))/4
x in { (4*5^(1/2)+6)/4, (6-4*5^(1/2))/4 }
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