+0  
 
0
62
1
avatar

Fill in the blank with a constant, so that the resulting quadratic is the square of a binomial.  x^2 + 4x + 5x +  ___

 Feb 10, 2021
 #1
avatar+944 
0

We can complete the square. After simplifying, we get x^2 + 9x.

 

This simplifes to \(x^2 + 9x = (x + \frac{9}{2})^2 - \frac{81}{4}\). So, the constant is 81/4.

 Feb 20, 2021

32 Online Users

avatar
avatar