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2015 AMC 10AProblem 16P16-20~4 minPrint
Systems of EquationsAlgebraic ManipulationApply an identity: SFFT, sum of squares, difference of cubes, VietaExploit symmetry to reduce work or pair up objects

If y+4=(x−2)2,x+4=(y−2)2y+4 = (x-2)^2, x+4 = (y-2)^2 , and x≠yx \neq y , what is the value of x2+y2x^2+y^2 ?

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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.