For any three positive real numbers a , ...

For any three positive real numbers `a , b` and `c ,9(25 a^2+b^2)+25(c^2-3a c)=15 b(3a+c)dot` Then : `a ,b` and`c` are in`AdotPdot` (2) `a ,b` and `c` are in `GdotPdot` `b ,c` and `a` are in `GdotPdot` (4) `b , c` and `a` are in `AdotPdot`

a,b, and c are in G.P.

b,c and a are in G.P

b,c and a are in A.P

a,b anc c are in A.P.

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