1969 Canadian MO Problems/Problem 7
From AoPSWiki
Problem
Show that there are no integers 
for which 
.
Solution
Note that all perfect squares are equivalent to 
Hence, we have 
It's impossible to obtain a sum of 
with two of 
so our proof is complete.
References
| 1969 Canadian MO (Problems) | ||
| Preceded by Problem 6 | 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | Followed by Problem 8 |
