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If a is such a constant so that 9x^2 + 24x+a is the square of a bionamal. What is a?

 Jul 9, 2021
 #1
avatar+121062 
+4

 We  need  

 

(3x  +  m)  (3x + m )   =  9x^2  +  6mx  + m^2

 

So

 

6m  = 24

m  =4

 

So

 

(3x  + 4)^2   =  9x^2  + 24x  +  16

 

m^2  =  16     =  a

 

a = 16

 

cool cool cool

 Jul 9, 2021

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