If a, b, c are in G.P. and the equation ...

If a, b, c are in G.P. and the equation `ax^(2) + 2bx + c = 0` and `dx^(2) + 2ex + f = 0` have a common root, then show that `(d)/(a), (e)/(b), (f)/(c )` are in A.P.

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