4.
\includegraphics[max width=\textwidth, alt={}, center]{ffa0b566-6448-491b-96d7-d3806bcfe063-2_639_1408_1315_212} Fig. 1 shows the curve with equation \(y = 5 + 2 x - x ^ { 2 }\) and the line with equation \(y = 2\). The curve and the line intersect at the points \(A\) and \(B\).

1. Find the \(x\)-coordinates of \(A\) and \(B\). The shaded region \(R\) is bounded by the curve and the line.
2. Find the area of \(R\).