perplexus.info :: Just Math : Indeed common

Indeed common (Posted on 2021-08-03)

Let x, y, z be non-zero real numbers, such that x + y + z = 0 and the numbers

x/y + y/z + z/x and x/z + z/y + y/x + 1

are equal. Determine their common value.

No Solution Yet Submitted by Danish Ahmed Khan

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Puzzle Answer

| Comment 2 of 3 |

The required common value is -1 (minus one).

**** Very interesting, but equally HARD! However, I will strive to arrive at an independent analytical explanation in future!!!

Posted by K Sengupta on 2022-06-17 01:36:24

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