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D( x )
x-5 = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
x in (-oo:5) U (5:+oo)
(x^2+9*x-6)/(x-5) = 0
x^2+9*x-6 = 0
x^2+9*x-6 = 0
DELTA = 9^2-(-6*1*4)
DELTA = 105
DELTA > 0
x = (105^(1/2)-9)/(1*2) or x = (-105^(1/2)-9)/(1*2)
x = (105^(1/2)-9)/2 or x = (-(105^(1/2)+9))/2
(x+(105^(1/2)+9)/2)*(x-((105^(1/2)-9)/2)) = 0
((x+(105^(1/2)+9)/2)*(x-((105^(1/2)-9)/2)))/(x-5) = 0
( x+(105^(1/2)+9)/2 )
x+(105^(1/2)+9)/2 = 0 // - (105^(1/2)+9)/2
x = -((105^(1/2)+9)/2)
( x-((105^(1/2)-9)/2) )
x-((105^(1/2)-9)/2) = 0 // + (105^(1/2)-9)/2
x = (105^(1/2)-9)/2
x in { -((105^(1/2)+9)/2), (105^(1/2)-9)/2 }
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