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QUESTION 1: What number goes in the box so that \(x^2 + 18x + \boxed{\phantom{00}} \) is the square of a binomial? If you find more than one, give your answer as a list.

 

QUESTION 2: What number goes in the box so that \(x^2 + \boxed{\phantom{00}}x + 100 \) is the square of a binomial? If you find more than one, give your answer as a list.


THANK YOU!!

 Dec 15, 2020
 #1
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1. Completing the square gives (x + 18)^2 = x^2 + 18x + 324, so 324 goes in the box.

 

2. Completing the square gives (x + 10)^2 = x^2 + 10x + 100, or (x - 10)^2 = x^2 - 10x + 100, so 10 or -10 can go in the box.

 Dec 15, 2020
 #2
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They're both incorrect

Guest Dec 15, 2020

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