Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The line is given by the equation $y = x + 1$ and the curve is given by the equation $y = x^2 + bx + 5$.
(main)[4]

Find the set of values of the constant $b$ for which the line intersects the curve.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Rearrange to a single quadratic: $x^2+bx+5=x+1 \Rightarrow x^2+x(b-1)+4=0$

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