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The equation

(x1)(x2)(x4)(x5)(x7)(x8)=(x3)(x6)(x9)

has distinct roots r1,r2,...,r6. Evaluate 

6i=1(ri1)(ri2)(ri4)

 Feb 27, 2024
 #1
avatar+33654 
+3

I couldn't see a neat way of doing this analytically, so I used a numerical approach:

 

 Feb 29, 2024

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