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avatar+420 

 

I cant think of how to do this question so some help would be apriciated

What number can be placed in the box, so that the resulting quadratic expression is the square of a binomial?
\(x^2 + 22x + \boxed{\phantom{000}}\)

 May 1, 2020
 #1
avatar+111329 
+2

Take 1/2  of 22  =  11

 

Square this  = 11^2  =  121

 

That's what goes into the box

 

Proof

 

(x + 11)^2  =

 

(x + 11)  ( x + 11)  =

 

x^2  + 22x + 121

 

 

 

cool cool cool

 May 1, 2020
 #2
avatar+420 
+2

Wow! I never thought of doing that!

 May 1, 2020

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