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x in (-oo:+oo)
(1/2)*(x-1)^2-7 = 43 // - 43
(1/2)*(x-1)^2-43-7 = 0
1/2*(x-1)^2-43-7 = 0
1/2*(x-1)^2-43-7 = 0
1/2*x^2-x-85/2-7 = 0
1/2*x^2-x-99/2 = 0
1/2*x^2-x-99/2 = 0
1/2*x^2-x-99/2 = 0
DELTA = (-1)^2-(-99/2*1/2*4)
DELTA = 100
DELTA > 0
x = (100^(1/2)+1)/(1/2*2) or x = (1-100^(1/2))/(1/2*2)
x = 11 or x = -9
(x+9)*(x-11) = 0
(x+9)*(x-11) = 0
( x+9 )
x+9 = 0 // - 9
x = -9
( x-11 )
x-11 = 0 // + 11
x = 11
x in { -9, 11 }
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