Mathematics 9709 · AS & A Level · Quadratics

Quadratics — practice question

The curve is defined by $y = 5 + 3x - 2x^2$, and the straight line is defined by $y = kx + 13$, where $k$ is a constant.
(main)[4]

Find the values of $k$ for which the curve and the line do not meet.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Eliminate $y$ to obtain a quadratic with three terms, for example $2x^2+(k-3)x+8=0$

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