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For what real values of $s$ is $x^2 + sx + 144$ the square of a binomial?

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 Mar 31, 2020
 #1
avatar+21957 
+1

x2 + sx + 144  =  (s + 12)(s + 12)  =  (s + 12)2  =  s2 + 24x + 144     --->     s = 24

 Mar 31, 2020
 #2
avatar+21957 
+1

CPhill has pointed out to me that we also need -24 as an answer.

Thanks, CPhill!

 Mar 31, 2020

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