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(2): No Subject

| Comment 3 of 5 |

(In reply to re: No Subject by xdog)

I did make an error in simplifying to a polynomial, however one of your solutions does not work, either.

When you square both sides of an equation, remember that some solutions you find may be extraneous.

Fixed my previous post, which now has the correct solution.

Posted by Jer on 2015-05-12 09:05:02

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