Library / UKMT Senior Kangaroo / 38 of 139
UKMT Senior Kangaroo, 2016 Difficulty 2.0 Junior Prove it United Kingdom
The real numbers x x x y y y z z z ( x , y , z ) (x, y, z) ( x , y , z ) ( x 2 − 9 ) 2 + ( y 2 − 4 ) 2 + ( z 2 − 1 ) 2 = 0 (x^2 - 9)^2 + (y^2 - 4)^2 + (z^2 - 1)^2 = 0 ( x 2 − 9 ) 2 + ( y 2 − 4 ) 2 + ( z 2 − 1 ) 2 = 0 x + y + z x + y + z x + y + z
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