SOLUTION: Solve. Identify the equation as a conditional equation, an inconsistent equation, or an identity. State the solution set using interval notation. 4/x+1 + 7/x-1 = 11x+3/x^2-1

Question 1105427: Solve. Identify the equation as a conditional equation, an inconsistent equation, or an identity. State the solution set using interval notation.
4/x+1 + 7/x-1 = 11x+3/x^2-1

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
4/x+1 + 7/x-1 = 11x+3/(x^2-1)
multiply everything by x^2-1 or (x+1)(x-1)
4(x-1)+7(x+1)=11x+3
4x-4+7x+7=11x+3
This is an identity except where x=-1 and 1, where it is undefined.
(-oo, -1)U(-1, 1)U(1, oo)
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