(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, $7x^2 - 37x - 30 = 0$.
Mathematics 4024 · O Level · Equations
Demonstrate that $\frac{12}{x + 2} + \frac{10}{x - 1} = \frac{7}{2}$ can be reduced to the equation $7x^2 - 37x - 30 = 0$.
Find, by factorisation, $7x^2 - 37x - 30 = 0$.
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 $7x^2-37x-30=0$” …