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D( x )
x-2 = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x in (-oo:2) U (2:+oo)
3*x-(6/(x-2)) = 0
3*x-6*(x-2)^-1 = 0
3*x-6/(x-2) = 0
(3*x*(x-2))/(x-2)-6/(x-2) = 0
3*x*(x-2)-6 = 0
3*x^2-6*x-6 = 0
3*x^2-6*x-6 = 0
3*(x^2-2*x-2) = 0
x^2-2*x-2 = 0
DELTA = (-2)^2-(-2*1*4)
DELTA = 12
DELTA > 0
x = (12^(1/2)+2)/(1*2) or x = (2-12^(1/2))/(1*2)
x = (2*3^(1/2)+2)/2 or x = (2-2*3^(1/2))/2
3*(x-((2-2*3^(1/2))/2))*(x-((2*3^(1/2)+2)/2)) = 0
(3*(x-((2-2*3^(1/2))/2))*(x-((2*3^(1/2)+2)/2)))/(x-2) = 0
(3*(x-((2-2*3^(1/2))/2))*(x-((2*3^(1/2)+2)/2)))/(x-2) = 0 // * x-2
3*(x-((2-2*3^(1/2))/2))*(x-((2*3^(1/2)+2)/2)) = 0
( 3 )
3 = 0
x belongs to the empty set
( x-((2*3^(1/2)+2)/2) )
x-((2*3^(1/2)+2)/2) = 0 // + (2*3^(1/2)+2)/2
x = (2*3^(1/2)+2)/2
( x-((2-2*3^(1/2))/2) )
x-((2-2*3^(1/2))/2) = 0 // + (2-2*3^(1/2))/2
x = (2-2*3^(1/2))/2
x in { (2*3^(1/2)+2)/2, (2-2*3^(1/2))/2 }
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