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x in (-oo:+oo)
(1/4)*(x-5)^2 = 8 // - 8
(1/4)*(x-5)^2-8 = 0
1/4*(x-5)^2-8 = 0
1/4*(x-5)^2-8 = 0
1/4*x^2-5/2*x-7/4 = 0
1/4*x^2-5/2*x-7/4 = 0
1/2*(1/2*x^2-5*x-7/2) = 0
1/2*x^2-5*x-7/2 = 0
DELTA = (-5)^2-(-7/2*1/2*4)
DELTA = 32
DELTA > 0
x = (32^(1/2)+5)/(1/2*2) or x = (5-32^(1/2))/(1/2*2)
x = 4*2^(1/2)+5 or x = 5-4*2^(1/2)
1/2*(x+4*2^(1/2)-5)*(x-4*2^(1/2)-5) = 0
1/2*(x+4*2^(1/2)-5)*(x-4*2^(1/2)-5) = 0
( 1/2 )
1/2 = 0
x belongs to the empty set
( x+4*2^(1/2)-5 )
x+4*2^(1/2)-5 = 0 // - 4*2^(1/2)-5
x = -(4*2^(1/2)-5)
x = 5-(4*2^(1/2))
( x-4*2^(1/2)-5 )
x-4*2^(1/2)-5 = 0 // + -4*2^(1/2)-5
x = -(-4*2^(1/2)-5)
x = 5-(-4*2^(1/2))
x in { 5-(4*2^(1/2)), 5-(-4*2^(1/2)) }
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