If x2 + px + 1 = 0 and (a – b)x2 + (b – c)x + (c – a) = 0 have both roots common, then what is the form of a, b, c?

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If x<sup>2</sup> + px + 1 = 0 and (a – b)x<sup>2</sup> + (b – c)x + (c – a) = 0 have both roots common, then what is the form of a, b, c?