6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{7e2b7c81-e678-4078-964b-8b78e3b63f43-14_899_901_251_584}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{figure}
\section*{In this question you must show all stages of your working.
Solutions relying on calculator technology are not acceptable.}
Figure 3 shows
- the line \(l\) with equation \(y - 5 x = 75\)
- the curve \(C\) with equation \(y = 2 x ^ { 2 } + x - 21\)
The line \(l\) intersects the curve \(C\) at the points \(P\) and \(Q\), as shown in Figure 3 .
- Find, using algebra, the coordinates of \(P\) and the coordinates of \(Q\).
The region \(R\), shown shaded in Figure 3, is bounded by \(C , l\) and the \(x\)-axis.
- Use inequalities to define the region \(R\).