- (a) Sketch on the same diagram the graphs of \(y = ( x - 1 ) ^ { 2 } ( x - 5 )\) and \(y = 8 - 2 x\).
Label on your diagram the coordinates of any points where each graph meets the coordinate axes.
(b) Explain how your diagram shows that there is only one solution, \(\alpha\), to the equation
$$( x - 1 ) ^ { 2 } ( x - 5 ) = 8 - 2 x$$
(c) State the integer, \(n\), such that
$$n < \alpha < n + 1 .$$