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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(2*x^2-(3*x)-9)/x-3 = 0
(2*x^2-3*x-9)/x-3 = 0
(2*x^2-3*x-9)/x+(-3*x)/x = 0
2*x^2-3*x-3*x-9 = 0
2*x^2-6*x-9 = 0
2*x^2-6*x-9 = 0
2*x^2-6*x-9 = 0
DELTA = (-6)^2-(-9*2*4)
DELTA = 108
DELTA > 0
x = (108^(1/2)+6)/(2*2) or x = (6-108^(1/2))/(2*2)
x = (6*3^(1/2)+6)/4 or x = (6-6*3^(1/2))/4
(x-((6-6*3^(1/2))/4))*(x-((6*3^(1/2)+6)/4)) = 0
((x-((6-6*3^(1/2))/4))*(x-((6*3^(1/2)+6)/4)))/x = 0
((x-((6-6*3^(1/2))/4))*(x-((6*3^(1/2)+6)/4)))/x = 0 // * x
(x-((6-6*3^(1/2))/4))*(x-((6*3^(1/2)+6)/4)) = 0
( x-((6*3^(1/2)+6)/4) )
x-((6*3^(1/2)+6)/4) = 0 // + (6*3^(1/2)+6)/4
x = (6*3^(1/2)+6)/4
( x-((6-6*3^(1/2))/4) )
x-((6-6*3^(1/2))/4) = 0 // + (6-6*3^(1/2))/4
x = (6-6*3^(1/2))/4
x in { (6*3^(1/2)+6)/4, (6-6*3^(1/2))/4 }
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