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An equation (Posted on 2014-07-03) Difficulty: 3 of 5
The equation xxyy=zz has trivial integer solutions if x=1 or y=1. What is the smallest solution to xxyy=zz where x, y, and z are integers and 1<x≤y?

No Solution Yet Submitted by Math Man    
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re: solution | Comment 4 of 5 |
(In reply to solution by xdog)

{a=b=1}, (az)^a + (bz)^b = 2z, not z.

Edited on July 14, 2014, 1:57 am
  Posted by broll on 2014-07-14 01:09:15

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