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