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What number goes in the box so that x^2 + 18x + 6x + ___ is the square of a binomial? If you find more than one, give your answer as a list.

 Apr 18, 2022
 #1
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x^2  +  18x + 6x  +  ____

 

x^2 + 24x  +   _____

 

Take  (1/2) of 24   =12

 

Square it  = 144

 

That's the missing  number

 

Proof

 

(x + 12)^2  =  x^2 + 24x + 144

 

P.S.  - this proceedure is  known as "completing the square "

 

cool cool cool

 Apr 18, 2022

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