## Cool but may be tough(relatively) (BOMC-2)

Discussion on Bangladesh National Math Camp
sourav das
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### Cool but may be tough(relatively) (BOMC-2)

(Russian Math Olympiad 1999, Grade 11, #5) Four natural numbers have the property that
the square of the sum of any two of the numbers is divisible by the product of the other two.
Show that at least three of the four numbers are equal.
You spin my head right round right round,
When you go down, when you go down down......
(-$from$ "$THE$ $UGLY$ $TRUTH$" )

*Mahi*
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Location: 23.786228,90.354974
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### Re: Cool but may be tough(relatively) (BOMC-2)

Sorry for being late. I did not notice it earlier.
Steps:

Use $L^AT_EX$, It makes our work a lot easier!

SANZEED
Posts: 550
Joined: Wed Dec 28, 2011 6:45 pm

### Re: Cool but may be tough(relatively) (BOMC-2)

I haven't solved it fully yet,but a useful hint:
$\color{blue}{\textit{To}} \color{red}{\textit{ problems }} \color{blue}{\textit{I am encountering with-}} \color{green}{\textit{AVADA KEDAVRA!}}$

*Mahi*
Posts: 1175
Joined: Wed Dec 29, 2010 12:46 pm
Location: 23.786228,90.354974
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### Re: Cool but may be tough(relatively) (BOMC-2)

Share your full thought and progress... no need for "hints of progress".

Use $L^AT_EX$, It makes our work a lot easier!