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For what real values of s is 9x^2 + sx + 4 the square of a binomial?

 Jun 21, 2022
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9x^2 + sx  +  4                 

 

Take the positive root of  9x^2 and  both roots of 4   = 3x  and   +/- 2

 

 

(3x  + 2)^2   =

 

9x^2  + 12x +  4

 

s = 12

 

Also

 

(3x -2)^2  =  

 

9x^2  - 12x + 4

 

s =  -12

 

 

 

cool cool cool

 Jun 21, 2022

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