If p, q, r are in GP and the equations px^2 + qx + r=0 and dx^2 + 2ex + f=0 have a common root

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if the quadratic equation x²+qx+pr=0 and x²+rx+pq=0 have a common root , prove p+q+r=0 if the quadratic equation x²+qx+pr=0 and x²+rx+pq=0 have a common root , prove p+q+r=0