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D( x )
2*x-16 = 0
2*x-16 = 0
2*x-16 = 0
2*x-16 = 0 // + 16
2*x = 16 // : 2
x = 16/2
x = 8
x in (-oo:8) U (8:+oo)
1 = x/2-(x/(2*x-16)) // - x/2-(x/(2*x-16))
x/(2*x-16)-(x/2)+1 = 0
x/(2*x-16)-x/2+1 = 0
(2*x)/(2*(2*x-16))+(-x*(2*x-16))/(2*(2*x-16))+(1*2*(2*x-16))/(2*(2*x-16)) = 0
1*2*(2*x-16)-x*(2*x-16)+2*x = 0
18*x-2*x^2+4*x-32 = 0
22*x-2*x^2-32 = 0
22*x-2*x^2-32 = 0
2*(11*x-x^2-16) = 0
11*x-x^2-16 = 0
DELTA = 11^2-(-16*(-1)*4)
DELTA = 57
DELTA > 0
x = (57^(1/2)-11)/(-1*2) or x = (-57^(1/2)-11)/(-1*2)
x = (57^(1/2)-11)/(-2) or x = (57^(1/2)+11)/2
2*(x-((57^(1/2)-11)/(-2)))*(x-((57^(1/2)+11)/2)) = 0
(2*(x-((57^(1/2)-11)/(-2)))*(x-((57^(1/2)+11)/2)))/(2*(2*x-16)) = 0
(2*(x-((57^(1/2)-11)/(-2)))*(x-((57^(1/2)+11)/2)))/(2*(2*x-16)) = 0 // * 2*(2*x-16)
2*(x-((57^(1/2)-11)/(-2)))*(x-((57^(1/2)+11)/2)) = 0
( 2 )
2 = 0
x belongs to the empty set
( x-((57^(1/2)+11)/2) )
x-((57^(1/2)+11)/2) = 0 // + (57^(1/2)+11)/2
x = (57^(1/2)+11)/2
( x-((57^(1/2)-11)/(-2)) )
x-((57^(1/2)-11)/(-2)) = 0 // + (57^(1/2)-11)/(-2)
x = (57^(1/2)-11)/(-2)
x in { (57^(1/2)+11)/2, (57^(1/2)-11)/(-2) }
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