I have a problem I can not solve this:

Leta,b,care real numbers andf(x) = x^2 + ax + b.

if the equationf(x) = 0has two distinct real solutions,

and the equation(x^2-2x + c)^2 + a (x^2-2x + c) + b = 0has no real solutions, to prove that

f(c) > 1