If a, b, c are in GP. The equations ax²+2bx+c=0 and dx²+2ex+f=0 have a common root, prove that...

If a, b, c are in GP. The equations ax²+2bx+c=0 and dx²+2ex+f=0 have a common root, prove that d/a, e/b. f/c are in AP.

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