The equation \[(x^2+1)^{10} = 2x - x^2 - 2\]

has \(x=2\) as a solution;

has no real solutions;

has an odd number of real solutions;

has twenty real solutions.

The equation \[(x^2+1)^{10} = 2x - x^2 - 2\]

has \(x=2\) as a solution;

has no real solutions;

has an odd number of real solutions;

has twenty real solutions.