SOLUTION: Solve the rational equation. x/(x + 4) = 11/(x2 - 16) + 2 I know that the solution is x = -7, 3 but I am confused on what the steps are to get this answer. Can anyone

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve the rational equation. x/(x + 4) = 11/(x2 - 16) + 2 I know that the solution is x = -7, 3 but I am confused on what the steps are to get this answer. Can anyone      Log On


   

Question 674542: Solve the rational equation.
x/(x + 4) = 11/(x2 - 16) + 2

I know that the solution is x = -7, 3 but I am confused on what the steps are to get this answer. Can anyone help me so that I can understand this please?
Thank you,
Rachelle
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Note that is the difference of two squares, so the factorization is

Hence



Apply the LCD:



A little algebra music, Sammy:



You can fill in all the steps I left out.

Multiply by



Just solve the factorable quadratic.


John

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