Mathematics 4024 · O Level · Equations

Equations — practice question

(a)[3]

Demonstrate that $\frac{12}{x + 2} + \frac{10}{x - 1} = \frac{7}{2}$ can be reduced to the equation $7x^2 - 37x - 30 = 0$.

(b)[3]

Find, by factorisation, $7x^2 - 37x - 30 = 0$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\frac{12(x-1)+10(x+2)}{(x-1)(x+2)}=\frac{7}{2}$ which then gives $7x^2-37x-30=0$

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