Find the number that can be placed in the empty space below so that the resulting quadratic is the square of a binomial:

x^2 + 22x + __

thanks !

matthewmacdell Mar 20, 2020

#1**+3 **

Sorry I'm not CPhill.... but I'll try my best, too!

We know that in order to get a square of a binomial, we have to do (b/2)^2.

In this case, that will get us (22/2)^2 which is 121.

Therefore, we need to add 121 to each side, which will eventually get us (x+11)^2.

Hope this helped!

CalTheGreat Mar 20, 2020

#2**+2 **

This is 'completing the square ' exercise'

take 1/2 of the 'x' coefficient then square it 11^2 = 121

x^2 + 22x + 121 = (x+11)^{2}

ElectricPavlov Mar 20, 2020