- Thread starter
- Admin
- #1

- Feb 14, 2012

- 3,705

-----

Determine all triples of real numbers $(a,\,b,\,c)$ such that

$abc=8\\ a^2b+b^2a+c^2a=73\\a(b-c)^2+b(c-a)^2+c(a-b)^2=98$

-----

Remember to read the POTW submission guidelines to find out how to submit your answers!