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Determine the values of $c$ for which the curve and the line meet at two distinct points.
Mathematics 9709 · AS & A Level · Quadratics
Quadratics — practice question
The curve is defined by $y = x^2 + 2cx + 4$ and the straight line is given by $y = 4x + c$, where $c$ is a constant.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Set the two $y$ expressions equal and then rearrange to $x^{2}+2cx-4x+4-c=0$” …
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