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Let \(S\) be the set of all real numbers \(\alpha\) such that the function

\(\frac{x^2+5x+\alpha}{x^2 + 7x - 44} \)

can be expressed as a quotient of two linear functions. What is the sum of the elements of \(S \)?

 

 

PLZ DON'T GET THIS WRONG I HAVE ONE TRY FOR THIS!!!

 May 22, 2020
 #1
avatar+1498 
+2

I sincerely apologize for not being able to solve this and making your homework late.

 
 May 22, 2020
 #2
avatar+30028 
+4

As follows:

 

I'll leave you to sum the two values.

 

Don't simply accept the results I've presented - check them yourself!

 
 May 22, 2020

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