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Joppy December 1st, 2017 04:18 PM


Originally Posted by skipjack (Post 585114)
but I don't see an easy method (other than trial and error) of finding these.

Also known as the 'branch and bound' method.

EvanJ December 2nd, 2017 05:46 AM


Originally Posted by skipjack (Post 585114)
Using the various lengthy methods given above, the new answers would be K = 3√2 and L = 4√2.
Notice that 4K = 3L = 12√2.

Thank you. The 4K = 3L is what I was asking about when I said:

"Can it be said generically that the two terms should be equal without doing all the work?"

skipjack December 2nd, 2017 07:08 PM

If non-integer values are acceptable, my solution method shows quickly that both terms should equal the p that I defined. Unfortunately, p is typically irrational.

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