Tìm tất cả các cặp \(\left( {x;y} \right)\) nguyên thỏa mãn \(\left( {{x^2} - x + 1} \right)\left( {{y^2} + xy} \right) = 3x - 1\).
A.\(\left( {x;y} \right) = \left\{ {\left( {2;1} \right);\,\,\left( {1;1} \right);\,\,\left( {1; - 2} \right)} \right\}.\)
B.\(\left( {x;y} \right) = \left\{ {\left( { - 2;1} \right);\,\,\left( {1; - 1} \right);\,\,\left( {1; - 2} \right)} \right\}.\)
C.\(\left( {x;y} \right) = \left\{ {\left( { - 2;1} \right);\,\,\left( {1;1} \right);\,\,\left( {1; - 2} \right)} \right\}.\)
D.\(\left( {x;y} \right) = \left\{ {\left( { - 2;1} \right);\,\,\left( {1;1} \right);\,\,\left( {1;2} \right)} \right\}.\)

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