Find all possible positive real solutions to this equation:

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

(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