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))

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

p=q=1+√2 is the only possible solution.
For an explanation, refer to the solution submitted by Jer in this location.
The reason of p equalling q is furnished by broll in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Boy, am I dense this week!	broll	2015-05-13 05:52:19
Boy, am I dense this week!	Steve Herman	2015-05-12 10:21:21
re(2): No Subject	Jer	2015-05-12 09:05:02
re: No Subject	xdog	2015-05-11 12:02:32
No Subject	Jer	2015-05-11 10:15:26

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