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D( x )
x-6 = 0
x-6 = 0
x-6 = 0
x-6 = 0 // + 6
x = 6
x in (-oo:6) U (6:+oo)
(x^2-(5*x)-11)/(x-6) = 0
(x^2-5*x-11)/(x-6) = 0
x^2-5*x-11 = 0
x^2-5*x-11 = 0
DELTA = (-5)^2-(-11*1*4)
DELTA = 69
DELTA > 0
x = (69^(1/2)+5)/(1*2) or x = (5-69^(1/2))/(1*2)
x = (69^(1/2)+5)/2 or x = (5-69^(1/2))/2
(x-((5-69^(1/2))/2))*(x-((69^(1/2)+5)/2)) = 0
((x-((5-69^(1/2))/2))*(x-((69^(1/2)+5)/2)))/(x-6) = 0
( x-((5-69^(1/2))/2) )
x-((5-69^(1/2))/2) = 0 // + (5-69^(1/2))/2
x = (5-69^(1/2))/2
( x-((69^(1/2)+5)/2) )
x-((69^(1/2)+5)/2) = 0 // + (69^(1/2)+5)/2
x = (69^(1/2)+5)/2
x in { (5-69^(1/2))/2, (69^(1/2)+5)/2 }
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