BdMO National Secondary 2007/1

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
samiul_samin
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BdMO National Secondary 2007/1

Unread post by samiul_samin » Wed Feb 21, 2018 11:41 pm

Solve for ($x,y$) in real number where $x^x=y$ and $y^y=y.$

samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm

Re: BdMO National Secondary 2007/1

Unread post by samiul_samin » Sat Feb 23, 2019 10:53 am

$x=1$,$y=1$ is a solution.Is there any other solution?

samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm

Re: BdMO National Secondary 2007/1

Unread post by samiul_samin » Sun Mar 10, 2019 10:16 pm

samiul_samin wrote:
Wed Feb 21, 2018 11:41 pm
Solve for ($x,y$) in real number where $x^y=y^x$
Same kind of problem.
Solution

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