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avatar+834 

Let $A$, $B$, and $C$ be constants so that

 

\frac{1}{x^3-2x^2-5x+9}=\frac{A}{x+5}+\frac{B}{x-3} + \frac{C}{(x - 3)^2}

 

holds for all real numbers $x$ other than $-5$ and $3.$ What is $A$?

 
 Aug 4, 2024

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