- #1
annoymage
- 362
- 0
Homework Statement
find p,q,r,s integer solution
[tex]\frac{1}{p^2}+\frac{1}{q^2}+\frac{1}{r^2}+\frac{1}{s^2}=1[/tex]
Homework Equations
here some alternate form you can see
http://www.wolframalpha.com/input/?i=1/p^2%2B1/q^2%2B1/r^2%2B1/s^2%3D1
The Attempt at a Solution
i don't know if this works,
so i guess i have to show that [tex]p=q=r=s[/tex],
so now i only got this [tex]p|(qrs)^2\ \ ,\ q|(prs)^2\ \ ,\ r|(pqs)^2\ \ ,\ s|(pqr)^2[/tex], but i don't even know how to show [tex]p|q[/tex]
help T_T