Find the sum of all x that satisfy the equation -9x/(x^2 - 1) = 2x/(x + 1) - 6/(x - 1) + 5/(x + 1).
+130071 Note that (x^2 - 1) = (x + 1) (x -1)
Multiplying through by the factorization we get that
-9x = 2x(x -1) - 6(x + 1) + 5(x -1) simplify
-9x = 2x^2 -2x -6x -6 + 5x - 5
2x^2 + 6x - 11 = 0
Using the Quadratic Formula and simplifying
x = [ -3 + sqrt (31) ] /2
And
x = [ -3 -sqrt (31) ] / 2
