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Equations & Systemshard
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The system {x2+y2=13y=x2−2\begin{cases} x^2 + y^2 = 13 \\ y = x^2 - 2 \end{cases}{x2+y2=13y=x2−2​ represents the intersection of a circle and a parabola. How many real solution pairs (x,y)(x, y)(x,y) exist?