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A Real Solution Puzzle (Posted on 2006-07-30) Difficulty: 3 of 5
Find all real solutions x, y, z of the following system of equations:

x³ + y = 12x + 20
2y³ + z = 24y + 36
3z³ + x = 36z + 52

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (2 votes)

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Errata | Comment 3 of 5 |

I had originally intended the problem to read as "positive real solutions" instead of  " real solutions" in the first line.

However, noting the solutions received so far, I am not so sure about the unviability of the problem as presented above.  

Edited on July 30, 2006, 11:46 am
  Posted by K Sengupta on 2006-07-30 11:36:41

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