Let S be the set of points (a,b) with \[0 \le a,b \le 1\] such that the equation \[x^4 + ax^3 - bx^2 + ax + 1 = 0\]has at least one rea

Let S be the set of points (a,b) with \(0\leq a,b \leq 1\)  such that the equation \(x^4+ax^3-bx^2+ax+1=0\)
has at least one real root. Determine the area of the graph of S.