Question: A line has equation y = 2kx 7 and a curve has equation y = x + kx 3, where k is a

A line has equation y = 2kx − 7 and a curve has equation y = x² + kx − 3, where k is a positive integer.

a) Find the value of k for which the line is a tangent to the curve.

b) For this value of k, find the coordinates of the point where the line touches the curve.

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