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How many ordered pairs (a, b) of positive integers satisfy a^2 + b^2 = 50?

 Jun 18, 2020
 #1
avatar+781 
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If we use guess and check with positive numbers, it looks like the only pairs are (1, 7) and (7, 1).

 Jun 18, 2020
 #2
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No, (5, 5) is also possible.

MaxWong  Jun 18, 2020
 #3
avatar+781 
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Oh yes, I forgot that.

gwenspooner85  Jun 18, 2020

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