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December 1st, 2017, 05:18 PM   #11
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Math Focus: Yet to find out.
Originally Posted by skipjack View Post
but I don't see an easy method (other than trial and error) of finding these.
Also known as the 'branch and bound' method.
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December 2nd, 2017, 06:46 AM   #12
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Originally Posted by skipjack View Post
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?"
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December 2nd, 2017, 08:08 PM   #13
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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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