MathCastle
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=25(x−10)2+y2=45\begin{cases} x^2 + y^2 = 25 \\ (x - 10)^2 + y^2 = 45 \end{cases}