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Find the largest value of  c such that \(\frac{c^2 + 6c -27}{c-3} +2c = 23\)

 Aug 15, 2023
 #1
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Factor the polynomial in the  numerator  as  (c - 3) ( c + 9)

 

This gives us

 

(c+ 9)  + 2c =  23

 

3c + 9  = 23

 

3c =  14

 

c = 14 / 3

 

cool cool cool

 Aug 15, 2023

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