Tricky maxima minima

Algebra Level 4

If \( x , y \in R \)

If Maximum is M and Minimum is m of the expression

\( \frac{x^{2} + y^{2}}{x^{2} + xy + 4y^{2}}\)

If A denotes the average value of M and m , then find 6A.

Please post your solutions

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