Mathematics 9709 · AS & A Level · Quadratics

Quadratics — practice question

(a)[2]

Write $16x^2 - 24x + 10$ in the form $(4x + a)^2 + b$.

(b)[2]

The equation $16x^2 - 24x + 10 = k$, where $k$ is a constant, is said to have exactly one root. Determine this root.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correct factorisation of $(4x-3)^2$ or $(4x+(-3))^2$, or else identifying $a=-3$

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