MathDB

9.9

Part of I Soros Olympiad 1994-95 (Rus + Ukr)

Problems(1)

sum a/(b^2-1)>=2 for a,b,c>1, a+b+c= 6 (I Soros Olympiad 1994-95 R1 9.9)

Source:

7/31/2021
Given the following real numbers a.b,ca. b, c greater than one that a+b+c=6a + b + c = 6. Prove the inequality ab2−1+bc2−1+ca2−1≥2\frac{a}{b^2-1}+\frac{b}{c^2-1}+\frac{c}{a^2-1}\ge 2
algebrainequalities