Mathematics 0580 · IGCSE · Equations

Equations — practice question

(a(i))[2]

Factorise $3x^2 + 11x - 4$ into brackets.

(a(ii))[1]

Solve for $x$ in the equation $3x^2 + 11x - 4 = 0$.

(b(i))[4]

Show that $\frac{2}{2x+11} - \frac{1}{x-4} = \frac{1}{2}$ can be reduced to $2x^2 + 3x - 6 = 0$.

(b(ii))[4]

Solve the equation $2x^2 + 3x - 6 = 0$. You must show all working and give your answers correct to 2 decimal places.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Factorised form: $(3x-1)(x+4)$

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