perplexus.info :: Numbers : Reciprocal Equation #9

Reciprocal Equation #9 (Posted on 2023-07-16)

Determine all possible ordered triplets (x,y,z) of nonzero integers that satisfy this equation:

1     1      1
-- + ---- + ----- = 1
x     xy     xyz

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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re: Solution

| Comment 3 of 6 |

(In reply to Solution by Larry)

y * (x-1) = (z+1)/z which is never an integer unless z=1

Why can't z=-1?

Edited on July 16, 2023, 9:48 am

Posted by broll on 2023-07-16 09:47:36

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