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|x|+|y| = 1, x^2 +y^2 = a

Source: Germany 2000 p1

February 23, 2020
system of equationsparameteralgebra

Problem Statement

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}
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