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 pa

Question 1034421: 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 robertb(5830) (Show Source): You can put this solution on YOUR website!
.
If x = 0, then after substitution, , or 7 = A - 2B.
If x = 1, then after substitution, , or B = 2A - 8.
Substituting the second equation into the first equation, we get A = 3, while B = 2*3 - 8 = -2.
Therefore the answer is (3,-2).
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