Area between parabola and a line that don't intersect? 0 or infinity

$$x^2 + 6 = 2x + 1$$ $$x^2 - 2x + 5$$ $$frac{2 pm sqrt{4 - 4(5)}}{2}$$

As you can see by analyzing the discriminant, this quadratic has no real roots, so there are no points at which the two curves intersect. You could say that the area between the curves tends to infinity. As was stated in the comments, whoever posted this most likely intended to include more information/restrictions.

Also, these two curves will not "meet at infinity." Both diverge as $x$ gets arbitrarily large