Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

The function is $f(x) = x^2 + 4x - 6$.

(a)[2]

$f(x)$ may be expressed as $(x + m)^2 + n$. Determine the value of $m$ and the value of $n$.

(b)[2]

From your answer to part (a), find the positive solution to $x^2 + 4x - 6 = 0$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The result is $m=2$.” …