MathDB

580

Part of 1992 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 580 Commonwealth of Independent States 1991 (a-d)^2>=4d+8 if ad=bc

Source:

8/15/2019
If a>b>c>d>0a > b > c > d > 0 are integers such that ad=bcad = bc, show that (a−d)2≥4d+8(a - d)^2 \ge 4d + 8
algebrainequalitiesdiophantine