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D( x )
(x-4)^2 = 0
(x-4)^2 = 0
(x-4)^2 = 0
x-4 = 0 // + 4
x = 4
x in (-oo:4) U (4:+oo)
6-(6/((x-4)^2)) = 0
6-6*(x-4)^-2 = 0
6-6/((x-4)^2) = 0
(6*(x-4)^2)/((x-4)^2)-6/((x-4)^2) = 0
6*(x-4)^2-6 = 0
6*x^2-48*x+90 = 0
6*x^2-48*x+90 = 0
6*(x^2-8*x+15) = 0
x^2-8*x+15 = 0
DELTA = (-8)^2-(1*4*15)
DELTA = 4
DELTA > 0
x = (4^(1/2)+8)/(1*2) or x = (8-4^(1/2))/(1*2)
x = 5 or x = 3
6*(x-3)*(x-5) = 0
(6*(x-3)*(x-5))/((x-4)^2) = 0
(6*(x-3)*(x-5))/((x-4)^2) = 0 // * (x-4)^2
6*(x-3)*(x-5) = 0
( 6 )
6 = 0
x belongs to the empty set
( x-3 )
x-3 = 0 // + 3
x = 3
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 3, 5 }
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