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Question Number 171868 by Mikenice last updated on 21/Jun/22

solve:  x^2 +y^2 =1997(x−y),find the positive integer solution.

$${solve}: \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{1997}\left({x}−{y}\right),{find}\:{the}\:{positive}\:{integer}\:{solution}. \\ $$

Commented by Rasheed.Sindhi last updated on 21/Jun/22

(x,y)=(170,145)...

$$\left({x},{y}\right)=\left(\mathrm{170},\mathrm{145}\right)... \\ $$

Commented by Mikenice last updated on 21/Jun/22

please show the solution

$${please}\:{show}\:{the}\:{solution} \\ $$

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