+0  
 
0
27
1
avatar

What constant will make y^2 + 28y + 16 + k the square of a binomial?

 
 Nov 21, 2020
 #1
avatar+9142 
+1

y2 + 28y + 16 + k   will be the square of a binomial when:

 

16 + k  =  (1/2 * 28)2

 

16 + k  =  (14)2

 

16 + k  =  196

 

k  =  180

 

 

Check:

 

y2 + 28y + 16 + 180   =   y2 + 28y + 196   =   (y - 14)(y - 14)   =   (y - 14)2

 
 Nov 21, 2020

52 Online Users

avatar
avatar
avatar
avatar