When the curves
$$y = x^2 + 4x -5$$
and $$y = \frac{1}{1+x^2} $$ are drawn in the $xy$-plane, how many times do the two graphs intersect for values of $x > 0$ ?
I equate the value of $y$, then the equation comes in the fourth power of $x$ . How I can solve this?
Thanks in advance.