Difference between revisions of "2014 UMO Problems/Problem 2"

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== See Also ==
 
== See Also ==
 
{{UMO box|year=2014|num-b=1|num-a=3}}
 
{{UMO box|year=2014|num-b=1|num-a=3}}
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[[Category:Intermediate Algebra Problems]]

Revision as of 15:29, 14 October 2014

Problem

(a) Find all positive integers $x$ and $y$ that satisfy \[x^2+y^2 = 2014,\] or prove that there are no solutions.


(b) Find all positive integers $x$ and $y$ that satisfy \[x^2 + y^2 = 3222014,\] or prove that there are no solutions.

Solution

See Also

2014 UMO (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6
All UMO Problems and Solutions
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