The line 2x 2y = 5 intersects the curve 2x 2 y x 2

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The line 2x − 2y = 5 intersects the curve 2x2y − x2 − 26y − 35 = 0 at three points

a. Find the x-coordinates of the points of intersection.
b. Find the gradient of the curve at each of the points of intersection.

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