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A line has equation `y = kx + 6` and a curve has equation `y = x^2 + 3x + 2k` , where k is a constant. Find the two values of k for which the line is a tangent to the curve.

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When line is tangent to the curve the gradient of tangent is equal to the gradient of line.

At tangent points;

`kx+6 = x^2+3x+2k`

`0 = x^2 +(3-k)x+(2k-6)` -------------(1)

At tangent points...

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