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Find all real values of $s$ such that $x^2 + sx + 144 - 44$ is the square of a binomial.

 Mar 23, 2024
 #1
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Simplify  as

 

x^2 + sx  +  100 

 

To be a square of a binomial the discriminant must  =  0

 

s^2   -  4(1)(100)  = 0

 

s^2  =   400    take both roots

 

s  = -20 , 20

 

cool cool cool

 Mar 23, 2024

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