Mathematics 0580 · IGCSE · Equations

Equations — practice question

(a(i))[3]

Show that the equation $x^2-40x+A=0$ is obtained.

(a(ii))[3]

Solve, by factorising, the equation $x^2-40x+A=0$ to find the values of $x$.

(a(iii))[4]

Solve the equation $x^2-40x+A=0$ by using the quadratic formula. Show all your working and give your answers correct to 2 decimal places.

(b(i))[3]

Show that the time difference for the two journeys is $\frac{2000}{x(x+10)}$ hours.

(b(ii))[3]

Determine the difference in time between the two journeys when $x=80$. Give your answer in minutes and seconds.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: Express $y$ as a function of $x$

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