Let p(x) be a degree 2 polynomial such that p(1) = 1, p(2) =3, amd p(3) = 2. The p(p(x)) =x has four real solutions. Find the only such solution that is not an integer?
1 Answer
Jun 9, 2017
Explanation:
Considering the polynomial equation
we have
so
Calling
so
and
then
but
Solving now
we get