perplexus.info :: Just Math : Sum Root Sum Settlement

Sum Root Sum Settlement (Posted on 2015-05-10)

Find all possible positive real solutions to this equation:

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

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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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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