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If a, b, c, d and p are different real n...

If a, b, c, d and p are different real numbers such that `(a^2 + b^2 + c^2)p^2 – 2(ab + bc + cd) p + (b^2 + c^2 + d^2) le 0` , then show that a, b, c and d are in GP.

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