Mathematics 0580 · IGCSE · Equations

Equations — practice question

The diagram contains rectangles $A$ and $B$. Their combined area is $20\text{ cm}^2$.
(a(i))[2]

Show that $3x^2 + 6x - 22 = 0$.

(a(ii))[4]

Solve the equation $3x^2 + 6x - 22 = 0$, giving your answers correct to 4 significant figures. Show all your working.

(a(iii))[1]

Find rectangle $B$'s perimeter.

(b)[7]

Find the value of $y$ by first forming a quadratic equation and then factorising it.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: $x(3x+4)+2(x-1)$

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