SOLUTION: Find constants A and B such that (x + 7)/(x^2 - x - 2) = (A)/(x - 2) + (B)/(x + 1) for all x such that x not equal to -1 and x not equal to 2. Give your answer as the ordered

Algebra ->  Functions -> SOLUTION: Find constants A and B such that (x + 7)/(x^2 - x - 2) = (A)/(x - 2) + (B)/(x + 1) for all x such that x not equal to -1 and x not equal to 2. Give your answer as the ordered      Log On


   



Question 1033900: Find constants A and B such that
(x + 7)/(x^2 - x - 2) = (A)/(x - 2) + (B)/(x + 1)
for all x such that x not equal to -1 and x not equal to 2. Give your answer as the ordered pair (A,B).

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Common Denominator of both sides is the same. Multiply left and right by %28x-2%29%28x%2B1%29, simplify, and compare corresponding coefficients.

More clearly, multiply left and right by (x-2)(x+1), and SIMPLIFY EACH SIDE, but keep left and right sides SEPARATE from each other.