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Algebra MCII-A

 
 
ShengMaximus的头像
Algebra MCII-A
ShengMaximus - 2023年08月10日 Thursday 15:14
 

I was looking at 9.2 and the solution, and it pretty much doesn’t try to explain anything. It just says abc+acd+bcd+acd = a certain number. It doesn’t show how, and I can’t find it anywhere on the book on why that would happen. 

Explanation as to why this works?

 
WangDr. Kevin的头像
Re: Algebra MCII-A
WangDr. Kevin - 2023年08月11日 Friday 01:18
 

The solution applies Vieta's Theorem (general version).  Look at the beginning of Chapter 9 for the theorem, and let $n=4$ to see what is the application of the theorem.