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Determine the values of $k$ for which the curve $y = kx^2 - 3x$ and the line $y = x - k$ have no points in common.
Mathematics 9709 · AS & A Level · Quadratics
Determine the values of $k$ for which the curve $y = kx^2 - 3x$ and the line $y = x - k$ have no points in common.
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Remove $y$ and rearrange to obtain a 3-term quadratic $kx^2-3x=x-k \Rightarrow kx^2-4x+k=0$” …