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Non-zero integers (Posted on 2018-06-20) Difficulty: 3 of 5
Find all solutions of
(x+y^2)*(x^2+y)=(x-y)^3 .

x and y have to be non-zero integers.

No Solution Yet Submitted by Ady TZIDON    
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re: this seems the solution | Comment 2 of 3 |
(In reply to this seems the solution by Charlie)

I just noticed that Wolfram's implicit plot shows almost all values of x show up with y=0 but that is not shown in the numeric values.


And even in the implicit plot it doesn't show values of x between -1/2 and zero with y=0, even though those should be valid pairs (of course not in this puzzle which looks for non-zero integers).

  Posted by Charlie on 2018-06-20 13:36:31
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