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Sum Root Sum Settlement (Posted on 2015-05-10) Difficulty: 3 of 5
Find all possible positive real solutions to this equation:

p + q + 1/p + 1/q + 4 = 2(√(2p+1) + √(2q+1))

No Solution Yet Submitted by K Sengupta    
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re: Boy, am I dense this week! Comment 5 of 5 |
(In reply to Boy, am I dense this week! by Steve Herman)

Assume p and q are different, say q=n*p.

Then the larger q becomes, the further away the line 2(√(2p+1) + √(2(n*p)+1)) in the complex plane falls from the line p + n*p+ 1/(n*p) + 1/p+ 4

  Posted by broll on 2015-05-13 05:52:19
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