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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)
7/(x-1)+6/(x+1) = 8/(x^2-1) // - 8/(x^2-1)
7/(x-1)+6/(x+1)-(8/(x^2-1)) = 0
7/(x-1)+6/(x+1)-8*(x^2-1)^-1 = 0
7/(x-1)+6/(x+1)-8/(x^2-1) = 0
(7*(x+1)*(x^2-1))/((x-1)*(x+1)*(x^2-1))+(6*(x-1)*(x^2-1))/((x-1)*(x+1)*(x^2-1))+(-8*(x-1)*(x+1))/((x-1)*(x+1)*(x^2-1)) = 0
7*(x+1)*(x^2-1)+6*(x-1)*(x^2-1)-8*(x-1)*(x+1) = 0
13*x^3+x^2-8*x^2-13*x-1+8 = 0
13*x^3-7*x^2-13*x+7 = 0
13*x^3-7*x^2-13*x+7 = 0
13*x^3-7*x^2-13*x+7 = 0
{ 1, -1, 7, -7 }
1
x = 1
13*x^3-7*x^2-13*x+7 = 0
1
x-1
13*x^2+6*x-7
13*x^3-7*x^2-13*x+7
x-1
13*x^2-13*x^3
6*x^2-13*x+7
6*x-6*x^2
7-7*x
7*x-7
0
13*x^2+6*x-7 = 0
DELTA = 6^2-(-7*4*13)
DELTA = 400
DELTA > 0
x = (400^(1/2)-6)/(2*13) or x = (-400^(1/2)-6)/(2*13)
x = 7/13 or x = -1
x in { -1, 7/13, 1}
(x+1)*(x-7/13)*(x-1) = 0
((x+1)*(x-7/13)*(x-1))/((x-1)*(x+1)*(x^2-1)) = 0
((x+1)*(x-7/13)*(x-1))/((x-1)*(x+1)*(x^2-1)) = 0 // * (x-1)*(x+1)*(x^2-1)
(x+1)*(x-7/13)*(x-1) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-1 )
x-1 = 0 // + 1
x = 1
( x-7/13 )
x-7/13 = 0 // + 7/13
x = 7/13
x in { -1}
x in { 1}
x = 7/13
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