claim is x=y=z is the only solution provided all are non zero if one of them is 0 say x=0 then y=0 hence z=0 so x=y=z if say some two are equal say x=y then x=y=z=1/2 so say x>y>z then the function can be written as f(u)=1/(1+(1/4u^{2})) which is increasing in u so f(x) >f(y)>f(z) which gives y>z>x a contradiction
Moderation Team
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