The straight-line y = 2x 2 intersects the curve x 2 y = 5 at

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The straight-line y = 2x – 2 intersects the curve x2 – y = 5 at the points A and B.

Given that A lies below the x-axis and the point P lies on AB such that AP: PB = 3: 1, find the coordinates of P.

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