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Rewrite the expression g^4 + 18g^2 + 24 in the form c(g^2 + p)^2 + q. What is q?

 Aug 19, 2021
 #1
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This is completing the square.

 

Start by assigning g^2 as anything u like, in this case, I'll do Y. It just makes life easier for you.

 

g^2 = Y, rewrite the equation to get Y^2 + 18Y + 24.

 

Complete the Square to get: (Y+9)^2 + 24 - 81

 

So the answer to the question has to be 24-81 = __

 Aug 19, 2021

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