MathDB

529

Part of 1990 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 529 All Soviet Union MO 1990 trinomial, coefficients sum 1, product ineq

Source:

8/14/2019
A quadratic polynomial p(x)p(x) has positive real coefficients with sum 11. Show that given any positive real numbers with product 11, the product of their values under pp is at least 11.
inequalitiestrinomialalgebra