(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.
Mathematics 9709 · AS & A Level · Quadratics
Write $16x^2 - 24x + 10$ in the form $(4x + a)^2 + b$.
The equation $16x^2 - 24x + 10 = k$, where $k$ is a constant, is said to have exactly one root. Determine this root.
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 $a=-3$” …