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 Get one half by squaring (Posted on 2004-09-20)
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.

 See The Solution Submitted by Federico Kereki Rating: 4.2500 (12 votes)

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 re: Solution | Comment 8 of 31 |
(In reply to Solution by np_rt)

According to http://www.math.hmc.edu/funfacts/ffiles/10001.3-5.shtml the sum 1/1+1/4+1/9+... + 1/n^2+ ... is pi^2/6=1.6449... . Subtracting 1 leaves .6449... > 1/2.
 Posted by Richard on 2004-09-20 22:02:34

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