(a(i))[2]
$x^2 + 7x - 13 = (x+a)^2 + b$ Work out the value of $a$ and the value of $b$.
(a(ii))[2]
Hence solve the equation $x^2 + 7x - 13 = 0$. Show your working and state your answers correct to 3 significant figures.
(b)[3]
Write $\dfrac{4x^2 - 9}{2x^2 - 11x + 12}$ in its simplest form.
(c)[4]
Find the value of $x$ for which $\dfrac{2x}{x+4} + \dfrac{6}{x-1} = 2$.