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D( x )
(x-3)^2 = 0
(x-3)^2 = 0
(x-3)^2 = 0
x-3 = 0 // + 3
x = 3
x in (-oo:3) U (3:+oo)
9-((x^2)/((x-3)^2)) = 0
(-1*x^2)/((x-3)^2)+9 = 0
(-1*x^2)/((x-3)^2)+(9*(x-3)^2)/((x-3)^2) = 0
9*(x-3)^2-1*x^2 = 0
8*x^2-54*x+81 = 0
8*x^2-54*x+81 = 0
8*x^2-54*x+81 = 0
DELTA = (-54)^2-(4*8*81)
DELTA = 324
DELTA > 0
x = (324^(1/2)+54)/(2*8) or x = (54-324^(1/2))/(2*8)
x = 9/2 or x = 9/4
(x-9/4)*(x-9/2) = 0
((x-9/4)*(x-9/2))/((x-3)^2) = 0
((x-9/4)*(x-9/2))/((x-3)^2) = 0 // * (x-3)^2
(x-9/4)*(x-9/2) = 0
( x-9/2 )
x-9/2 = 0 // + 9/2
x = 9/2
( x-9/4 )
x-9/4 = 0 // + 9/4
x = 9/4
x in { 9/2, 9/4 }
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