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Some Squares Sum Square (Posted on 2012-07-30) Difficulty: 2 of 5
Determine all possible non zero real triplet(s) (F, G, H) that satisfy the following system of equations:

(7F)2 + (7G) 2 + (7H) 2 = (2F + 3G + 6H) 2 , and :

1/F + 1/G + 1/H = 1

No Solution Yet Submitted by K Sengupta    
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Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: Hint | Comment 4 of 9 |
(In reply to Hint by K Sengupta)

 The set  of complex numbers includes the set  of real   numbers,
  Posted by Ady TZIDON on 2012-07-31 13:10:19

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