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| Mathematica version 11.1. The input Solve[x (y + 1)^2 == 243 y, {x, y}, Integers] yields the set of solutions {{x -> 24, y -> 8}, {x -> 54, y -> 2}, {x -> 0, y -> 0}} but there are also other solutions with negative x,y: {x... |
| Here is a simple system of algebraic equations. It is clear that two first equations determine x1 and x2 and the third one determines x3. But something goes wrong... sys = {1 + x1^2, -3 + x2^2 + 4 x2*x1, -3 + x3 + x2*x1} ... |