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x in (-oo:+oo)
(1/2)*(8-x) = 8-x^2 // - 8-x^2
(1/2)*(8-x)+x^2-8 = 0
1/2*(8-x)+x^2-8 = 0
1/2*(8-x)+x^2-8 = 0
x^2-1/2*x-8+4 = 0
x^2-1/2*x-4 = 0
x^2-1/2*x-4 = 0
x^2-1/2*x-4 = 0
DELTA = (-1/2)^2-(-4*1*4)
DELTA = 65/4
DELTA > 0
x = ((65/4)^(1/2)+1/2)/(1*2) or x = (1/2-(65/4)^(1/2))/(1*2)
x = ((65/4)^(1/2)+1/2)/2 or x = (1/2-(65/4)^(1/2))/2
(x-((1/2-(65/4)^(1/2))/2))*(x-(((65/4)^(1/2)+1/2)/2)) = 0
(x-((1/2-(65/4)^(1/2))/2))*(x-(((65/4)^(1/2)+1/2)/2)) = 0
( x-(((65/4)^(1/2)+1/2)/2) )
x-(((65/4)^(1/2)+1/2)/2) = 0 // + ((65/4)^(1/2)+1/2)/2
x = ((65/4)^(1/2)+1/2)/2
( x-((1/2-(65/4)^(1/2))/2) )
x-((1/2-(65/4)^(1/2))/2) = 0 // + (1/2-(65/4)^(1/2))/2
x = (1/2-(65/4)^(1/2))/2
x in { ((65/4)^(1/2)+1/2)/2, (1/2-(65/4)^(1/2))/2 }
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