(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.
Cool but may be tough(relatively) (BOMC-2)
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You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
Re: Cool but may be tough(relatively) (BOMC-2)
Sorry for being late. I did not notice it earlier.
Steps:
Steps:
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Re: Cool but may be tough(relatively) (BOMC-2)
I haven't solved it fully yet,but a useful hint:
$\color{blue}{\textit{To}} \color{red}{\textit{ problems }} \color{blue}{\textit{I am encountering with-}} \color{green}{\textit{AVADA KEDAVRA!}}$
Re: Cool but may be tough(relatively) (BOMC-2)
Share your full thought and progress... no need for "hints of progress".
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
- zadid xcalibured
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Re: Cool but may be tough(relatively) (BOMC-2)
সত্যি এই ধরনের কমেন্ট দেখলে মেজাজ গরম হয়।SANZEED wrote:I haven't solved it fully yet,but a useful hint: