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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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Question re: No Subject | Comment 2 of 5 |
(In reply to No Subject by Jer)

From 2p + 2/p + 4 = 4*sqrt(2p+1) I get p^4 - 4p^3 + 2p^2 + 4p + 1 = 0 which the handy-dandy factoring tool at 


tells me is the same as (x^2 -2x -1)^2 = 0 giving x=1 + sqrt(2) and x=1 - sqrt(2). 

Edited on May 11, 2015, 12:02 pm
  Posted by xdog on 2015-05-11 12:02:32

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