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D( x )
x-2 = 0
x^2-(6*x)-9 = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x^2-(6*x)-9 = 0
x^2-(6*x)-9 = 0
x^2-6*x-9 = 0
x^2-6*x-9 = 0
DELTA = (-6)^2-(-9*1*4)
DELTA = 72
DELTA > 0
x = (72^(1/2)+6)/(1*2) or x = (6-72^(1/2))/(1*2)
x = (6*2^(1/2)+6)/2 or x = (6-6*2^(1/2))/2
x in (-oo:(6-6*2^(1/2))/2) U ((6-6*2^(1/2))/2:2) U (2:(6*2^(1/2)+6)/2) U ((6*2^(1/2)+6)/2:+oo)
((5/(x-2)-x-2)*(2-x))/(x^2-(6*x)-9) = 0
((5/(x-2)-x-2)*(2-x))/(x^2-6*x-9) = 0
((2-x)*(5/(x-2)-x-2))/(x^2-6*x-9) = 0
x^2-6*x-9 = 0
x^2-6*x-9 = 0
DELTA = (-6)^2-(-9*1*4)
DELTA = 72
DELTA > 0
x = (72^(1/2)+6)/(1*2) or x = (6-72^(1/2))/(1*2)
x = (6*2^(1/2)+6)/2 or x = (6-6*2^(1/2))/2
(x-((6-6*2^(1/2))/2))*(x-((6*2^(1/2)+6)/2)) = 0
5/(x-2)-x-2 = 0
5/(x-2)+(-x*(x-2))/(x-2)+(-2*(x-2))/(x-2) = 0
5-x*(x-2)-2*(x-2) = 0
2*x-x^2-2*x+4+5 = 0
9-x^2 = 0
(9-x^2)/(x-2) = 0
(9-x^2)/(x-2) = 0 // * x-2
9-x^2 = 0
((2-x)*(9-x^2))/((x-((6-6*2^(1/2))/2))*(x-((6*2^(1/2)+6)/2))) = 0
( 2-x )
2-x = 0 // - 2
-x = -2 // * -1
x = 2
( 9-x^2 )
-1*x^2 = -9 // : -1
x^2 = 9
x^2 = 9 // ^ 1/2
abs(x) = 3
x = 3 or x = -3
x in { 2}
x in { 3, -3 }
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