Mathematics 9709 · AS & A Level · Quadratics

Quadratics — practice question

(i)[4]

Write $2x^2 - 10x + 8$ in the form $a(x + b)^2 + c$, where $a$, $b$ and $c$ are constants, and use your result to state the least value of $2x^2 - 10x + 8$.

(ii)[4]

Find the set of values of $k$ for which the equation $2x^2 - 10x + 8 = kx$ has no real roots.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Completes the square correctly with $a=2,b=-\frac52,c=-\frac92$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI