Can you solve the following equation?
½ = 1/x² + 1/y² +...+ 1/z²
All variables must be different, positive integers, and there must be a finite number of terms.
(In reply to re: Solution
Oops - I didn't realize that Richard had put the exact value of pi^2/6 in his previous post - I only saw the approximation 1.6449 at first glance. This post adds no new content. =)
More specifically, if you've had some differential equations before, you can show that the sum 1/1+1/4+1/9+... + 1/n^2+ ... is equal to PI^2/6.
I like this problem a lot. Hit a lot of dead ends trying to solve it - always a sign of a great problem. Still working at it. Kudos to Frederico.
Edited on September 20, 2004, 11:05 pm