At what real value of x do the curves whose equations are y = x3 + x and y = x2 + 1 intersect?

At what real value of x do the curves whose equations are y = x3 + x and y = x2 + 1 intersect?

Answer Details

y = x3 + x and y = x2 + 1
$\begin{array}{cccccc}x& -2& -1& 0& 1& 2\\ Y=x^3+x& -10& -2& 0& 2& 10\\ y=x^2+1& 5& 2& 1& 2& 5\end{array}$
The curves intersect at x = 1