I have a problem I can not solve this:
Let a, b, c are real numbers and f(x) = x^2 + ax + b.
if the equation f(x) = 0 has two distinct real solutions,
and the equation (x^2-2x + c)^2 + a (x^2-2x + c) + b = 0
has no real solutions, to prove that f(c) > 1