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if a in R and equation (a-2)(x-[x])^(2)+...

if a `in` R and equation `(a-2)(x-[x])^(2)+2(x-[x])+a^(2)=0` (where [x] represent G.I.F) has no integral solution and has exactly one solution in the interval (12,13) then a lies in `(alpha,beta)` the value of `alpha^(2)+3beta^(2)` is

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