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There are 12 ordered pairs of integers that satisfy x^2 + y^2 = 6500. What is the greatest possible sum x + y?

 Aug 25, 2021
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What is the greatest possible sum x + y?

 

Hello Guest!

 

I only find 8 ordered pairs of integers that satisfy x ^ 2 + y ^ 2 = 6500.

These are:

(10,80) (32,74) (40,70) (56,58) (58,56) (70,40) (74,32) (80,10)

 

The greatest possible sum x + y is: x + y = 56 + 58 = 114 

or                                                 x + y = 58 + 56 = 114

laugh  !

 Aug 25, 2021
edited by asinus  Aug 25, 2021
edited by asinus  Aug 26, 2021

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