MathDB

566

Part of 1992 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 566 Commonwealth of Independent States 1991 x^2/(y-1) + y^2/(x-1)>= 8.

Source:

8/15/2019
Show that for any real numbers x,y>1x, y > 1, we have x2y−1+y2x−1≥8\frac{x^2}{y - 1}+ \frac{y^2}{x - 1} \ge 8
algebrainequalities