Question 15
Let $f(x)$ and $g(x)$ be distinct quadratic polynomials such that the leading coefficients of both polynomials are equal to 1 and
$$f(1)+f(2017)+f(2017^2)=g(1)+g(2017)+g(2017^2).$$
Find $x$ if $f(x)=g(x)$.
$$f(1)+f(2017)+f(2017^2)=g(1)+g(2017)+g(2017^2).$$
Find $x$ if $f(x)=g(x)$.