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Find all real numbers x,y,z>=1 satisfying min(sqrt(x+xyz), sqrt(y+xyz), sqrt(z+xyz))=sqrt(x-1)+sqrt(y-1)+sqrt(z-1)
 Dec 23, 2013
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anon2102:

Find all real numbers x,y,z>=1 satisfying min(sqrt(x+xyz), sqrt(y+xyz), sqrt(z+xyz))=sqrt(x-1)+sqrt(y-1)+sqrt(z-1)



The only answer is x=5/4, y=2, z=2
 Dec 30, 2013

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