(a(i))[2]
Solve the equation $(x + \frac{7}{2})^2 = \frac{\sqrt{5}}{2}$. Provide both solutions correct to $2$ decimal places.
(a(ii))[3]
The roots of $(x + \frac{7}{2})^2 = \frac{\sqrt{5}}{2}$ are also the roots of $x^2 + Bx + C = 0$, with integer values for $B$ and $C$. Find $B$ and $C$.
(b)[2]
Solve $7 - 3x > 13$.
(c)[2]
Factorise the expression $6x - 3yt + 18y - xt$.
(d)[4]
Solve the following simultaneous equations. $3a + 4b = -13$ $5a + 6b = -11$