Question 171
Find all pairs of natural numbers $m$ and $n$ for which the quadratic equation
$$
2007 x^{2} + m n x + n = 0
$$
has only one solution. For each such pair also write down the solution.
$$
2007 x^{2} + m n x + n = 0
$$
has only one solution. For each such pair also write down the solution.