Edexcel C1 2007 June — Question 6

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2007
SessionJune
TopicSimultaneous 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.