The diagram shows the curve y = 7x and the line y = 6x + k, where

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The diagram shows the curve y = 7√x and the line y = 6x + k, where k is a constant.

The curve and the line intersect at the points A and B.
i. For the case where k = 2, find the x-coordinates of A and B.
ii. Find the value of k for which y = 6x + k is a tangent to the curve y = 7√x.

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