AMC 10 Step by Step
2013 AMC 10BProblem 11P11-15~2 minPrint

Real numbers xx and yy satisfy the equation x2+y2=10x6y34x^2 + y^2 = 10x - 6y - 34 . What is x+yx+y ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.