| Exam Board | Edexcel |
| Module | C1 (Core Mathematics 1) |
| Year | 2007 |
| Session | June |
| Topic | Simultaneous equations |
6. (a) By eliminating \(y\) from the equations
$$\begin{gathered}
y = x - 4
2 x ^ { 2 } - x y = 8
\end{gathered}$$
show that
$$x ^ { 2 } + 4 x - 8 = 0$$
(b) Hence, or otherwise, solve the simultaneous equations
$$\begin{gathered}
y = x - 4
2 x ^ { 2 } - x y = 8
\end{gathered}$$
giving your answers in the form \(a \pm b \sqrt { } 3\), where \(a\) and \(b\) are integers.