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(y−z)2+(z−x)2+(x−y)2=(y+z−2x)2+(x+z−2y)2+(x+y−2z)2(y-z)^2+(z-x)^2+(x-y)^2=(y+z-2x)^2+(x+z-2y)^2+(x+y-2z)^2(y−z)2+(z−x)2+(x−y)2=(y+z−2x)2+(x+z−2y)2+(x+y−2z)2
If x,yx,yx,y and zzz are real numbers that satisfy the equation above, then which of the following must be true?
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