For The Mathematically Inclined

(x - 2)² = x + 2

X=?

Problem 2

The interior of a quadrilateral is bounded by the graphs of (x+ay)² = 4a² and (ax-y)² = a², where a is a positive real number. What is the area of this region in terms of a, valid for all a>0?

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Congratulations to Ramachandran Balakrishna who was the winner of the last set of problems.