There's a great video of a math teacher blowing his students minds with "fill in the square" – you'd love it:https://www.youtube.com/watch?v=McDdEw_Fb5E …
The sum of these unknown numbers is known, so its square is as well. And this is 4 times their product, plus the square of their difference.
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So the square of their difference is known, and the difference itself is the square root of its square -- up to an ambiguous overall sign.
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And once you know the sum and the difference of two numbers, the numbers themselves are easy to determine.
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