# An algebra problem by Ajay Dutta

Algebra Level 2

For two sets $A=\{(x,y) \mid y=x^2-ax+48\}, B=\{(x,y) \mid y=0\},$ what is the minimum value of a positive integer $$a$$ that satisfies $$n(A \cap B)=2?$$

Note: $$n(X)$$ is the number of the elements of the set $$X.$$

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