(a)[2]
Write $x^2 - 8x + 11$ in the form $(x + p)^2 + q$, with $p$ and $q$ both constants.
(b)[2]
Hence determine the exact solutions of $x^2 - 8x + 11 = 1$.
Mathematics 9709 · AS & A Level · Quadratics
Quadratics — practice question
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The completed-square expression is $x^2-8x+11=(x-4)^2-5$, which gives $p=-4$ or an equivalent result.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI