olymmath

DE-MO 2000 Problem 1

    For each real parameter aa , find the number of real solutions to the system {∣x∣+∣y∣=1,x2+y2=a\begin{cases} |x|+|y| = 1 , x^2 +y^2 = a \end{cases}

    Dataset text AI-MO AoPS. Quoted with source.

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