MathDB

5

Part of 1994 Dutch Mathematical Olympiad

Problems(1)

easy inequality (old problem)

Source: Netherlands 1994

6/28/2009
Three real numbers a,b,c a,b,c satisfy the inequality |ax^2\plus{}bx\plus{}c| \le 1 for all x \in [\minus{}1,1]. Prove that |cx^2\plus{}bx\plus{}a| \le 2 for all x \in [\minus{}1,1].
inequalitiesalgebrapolynomialalgebra unsolved