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PrecalculusChallengeSystems of Equations

Systems of Equations · Challenge problem

Solve the system for all real solutions (x,y)(x,y), listing the one with positive yy first.

{x2+y2=100(x−10)2+y2=80\begin{cases} x^2 + y^2 = 100 \\ (x - 10)^2 + y^2 = 80 \end{cases}