Exit fullscreen mode

Polynomials & Rational Functions

Review question

How many solutions are there to $(x^2+1)^{10} = 2x - x^2 - 2$?
Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9754

Printable/supporting materials Printable version Fullscreen mode Teacher notes

Question

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.