Find Zi Song's minimum

Algebra Level 3

Let aa be the minimum of x(x−4)−2y(x−y)x(x - 4) - 2y(x - y) as xx and yy range over all real numbers. What is the value of ∣a∣\vert a \vert?

This problem is posed by Zi Song Y.

Mei Li by Mei Li
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