Question 59
Consider the equation
$$
x^2 + xy + y^2 + 3x + 6y + 6 = 0. \quad (*)
$$
(1) Find all pair $(x, y)$ of integers with $x = 1$ which satisfy equation $(*)$.
(2) Find all pair $(x, y)$ of integers which satisfy equation $(*)$.
$$
x^2 + xy + y^2 + 3x + 6y + 6 = 0. \quad (*)
$$
(1) Find all pair $(x, y)$ of integers with $x = 1$ which satisfy equation $(*)$.
(2) Find all pair $(x, y)$ of integers which satisfy equation $(*)$.