Combinatorics + Algebra + Number Theory = The Best :D

Let \(m\) be an integer such that \(1 \leq m \leq 1000\). Find the probability of selecting at ramdom an integer \(m\) such that the quadratic equation \[6x^2 -5mx + m^2=0\] has atleast one integer solution.

This question is not my original :D

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