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D( x )
x-1 = 0
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:1) U (1:+oo)
k-x = 1/(x-1) // - 1/(x-1)
k-(1/(x-1))-x = 0
k-(x-1)^-1-x = 0
k-1/(x-1)-x = 0
(k*(x-1))/(x-1)-1/(x-1)+(-x*(x-1))/(x-1) = 0
k*(x-1)-x*(x-1)-1 = 0
k*x-k-x^2+x-1 = 0
(k*x-k-x^2+x-1)/(x-1) = 0
(k*x-k-x^2+x-1)/(x-1) = 0 // * x-1
k*x-k-x^2+x-1 = 0
x-k-x^2-1 = 0
DELTA = 1^2-(-1*4*(-k-1))
DELTA = 1-4*(k+1)
1-4*(k+1) = 0
1-4*(k+1) = 0
-4*k-3 = 0
-4*k-3 = 0
-4*k-3 = 0 // + 3
-4*k = 3 // : -4
k = 3/(-4)
k = -3/4
DELTA = 0 <=> t_3 = -3/4
x = -1/(-1*2) i k = -3/4
x = 1/2 i k = -3/4
( x = ((1-4*(k+1))^(1/2)-1)/(-1*2) or x = (-(1-4*(k+1))^(1/2)-1)/(-1*2) ) i k > -3/4
( x = ((1-4*(k+1))^(1/2)-1)/(-2) or x = ((1-4*(k+1))^(1/2)+1)/2 ) i k > -3/4
k+3/4 > 0
k+3/4 > 0 // - 3/4
k > -3/4
x in { 1/2, ((1-4*(k+1))^(1/2)-1)/(-2), ((1-4*(k+1))^(1/2)+1)/2 }
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