Question 112
NonZero Real Numbers $a$, $b$, and $c$ ARE CHOSEN $a x^2 + b x + c \gt c x$ for each real $x$. prove that $c x^2 - b x + a \gt c x - b$ for each real $x$. (M. Murashkin) Non-zero numbers $a$, $b$, $c$ are such that $a x^2 + b x + c \gt c x$ at any $x$. Prove that $c x^2 - b x + a \gt c x - b$ at any $x$. (M. Murashkin)