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D( x )
x = 0
3*x-6 = 0
x = 0
x = 0
3*x-6 = 0
3*x-6 = 0
3*x-6 = 0 // + 6
3*x = 6 // : 3
x = 6/3
x = 2
x in (-oo:0) U (0:2) U (2:+oo)
X/x-(5/6)-2 = 1/(3*x-6) // - 1/(3*x-6)
X/x-(1/(3*x-6))-(5/6)-2 = 0
X/x-(3*x-6)^-1-5/6-2 = 0
X/x-1/(3*x-6)-5/6-2 = 0
(-1*6*x)/(6*x*(3*x-6))+(6*X*(3*x-6))/(6*x*(3*x-6))+(-5*x*(3*x-6))/(6*x*(3*x-6))+(-2*6*x*(3*x-6))/(6*x*(3*x-6)) = 0
6*X*(3*x-6)-5*x*(3*x-6)-2*6*x*(3*x-6)-1*6*x = 0
18*X*x-36*X-15*x^2-36*x^2-6*x+30*x+72*x = 0
18*X*x-36*X-15*x^2-36*x^2+24*x+72*x = 0
18*X*x-36*X-51*x^2+96*x = 0
(18*X*x-36*X-51*x^2+96*x)/(6*x*(3*x-6)) = 0
(18*X*x-36*X-51*x^2+96*x)/(6*x*(3*x-6)) = 0 // * 6*x*(3*x-6)
18*X*x-36*X-51*x^2+96*x = 0
96*x-36*X-51*x^2 = 0
DELTA = 96^2-(-51*(-36)*4*X)
DELTA = 9216-7344*X
9216-7344*X = 0
9216-7344*X = 0 // - 9216
-7344*X = -9216 // : -7344
X = -9216/(-7344)
X = 64/51
DELTA = 0 <=> t_3 = 64/51
x = -96/(-51*2) i X = 64/51
x = 16/17 i X = 64/51
( x = ((9216-7344*X)^(1/2)-96)/(-51*2) or x = (-(9216-7344*X)^(1/2)-96)/(-51*2) ) i X > 64/51
( x = ((9216-7344*X)^(1/2)-96)/(-102) or x = ((9216-7344*X)^(1/2)+96)/102 ) i X > 64/51
X-64/51 > 0
X-64/51 > 0 // + 64/51
X > 64/51
x in { 16/17, ((9216-7344*X)^(1/2)-96)/(-102), ((9216-7344*X)^(1/2)+96)/102 }
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