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Find all real values of $s$ such that $x^2 + sx + 144 - 63 + x^2 - 25 - 18$ is the square of a binomial.

 Mar 21, 2024
 #1
avatar+128406 
+1

Simplify as

 

2x^2  + sx  +  38

 

We will have a square of a  binomial when the discriminant =   0

 

s^2  -  4(2)(38)  =  0

 

s^2  =  304

 

s  =  ± sqrt [304]    =  ± 4sqrt (19)

 

 

cool cool cool

 Mar 21, 2024

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