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D( x )
x-6 < 0
x-6 < 0
x-6 < 0
x-6 < 0 // + 6
x < 6
x in <6:+oo)
(x-6)^(1/2) = x-2 // - x-2
(x-6)^(1/2)-x+2 = 0
(x-6)^(1/2) = 2-x // - 2-x
(x-6)^(1/2) = -(2-x) // ^ 2
abs(x-6) = (-(2-x))^2 // - (-(2-x))^2
abs(x-6)-(-(2-x))^2 = 0
x in (-oo:+oo)
abs(x-6)
x-6 >= 0
x-6 >= 0 // + 6
x >= 6
x in <6:+oo)
x-(-(2-x))^2-6 = 0
x in (-oo:6)
6-(-(2-x))^2-x = 0
abs(x-6)-(-(2-x))^2 = 0
/ | 6-(-(2-x))^2-x = 0 i x in (-oo:6) | x-(-(2-x))^2-6 = 0 i x in <6:+oo)
x in (-oo:6)
6-(-(2-x))^2-x = 0
6-1*(x-2)^2-x = 0
6-1*(x-2)^2-x = 0
3*x-x^2-4+6 = 0
3*x-x^2+2 = 0
3*x-x^2+2 = 0
3*x-x^2+2 = 0
DELTA = 3^2-(-1*2*4)
DELTA = 17
DELTA > 0
x = (17^(1/2)-3)/(-1*2) or x = (-17^(1/2)-3)/(-1*2)
x = (17^(1/2)-3)/(-2) or x = (17^(1/2)+3)/2
(x-((17^(1/2)-3)/(-2)))*(x-((17^(1/2)+3)/2)) = 0
(x-((17^(1/2)-3)/(-2)))*(x-((17^(1/2)+3)/2)) = 0
( x-((17^(1/2)+3)/2) )
x-((17^(1/2)+3)/2) = 0 // + (17^(1/2)+3)/2
x = (17^(1/2)+3)/2
( x-((17^(1/2)-3)/(-2)) )
x-((17^(1/2)-3)/(-2)) = 0 // + (17^(1/2)-3)/(-2)
x = (17^(1/2)-3)/(-2)
x in <6:+oo)
x-(-(2-x))^2-6 = 0
x-1*(x-2)^2-6 = 0
x-1*(x-2)^2-6 = 0
5*x-x^2-6-4 = 0
5*x-x^2-10 = 0
5*x-x^2-10 = 0
5*x-x^2-10 = 0
DELTA = 5^2-(-10*(-1)*4)
DELTA = -15
DELTA < 0
1 = 0
1 = 0
x in { (17^(1/2)+3)/2}
x in { (17^(1/2)-3)/(-2)}
x belongs to the empty set
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