Mathematics 9709 · AS & A Level · Quadratics

Quadratics — practice question

The curve has equation $y = -\frac{2}{x}$, while the straight line is given by $y = ax + 3a$.

(main)[4]

Find the set of values of $a$ for which the curve and the straight line intersect at two distinct points.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Rewrites $ax+3a=\frac{2}{x}$ as $ax^2+3ax+2=0$” …