Neka su aaa, bbb i ccc pozitivni realni brojevi takvi da je a+b+c=3a + b + c = 3a+b+c=3. Dokaži da vrijedi
a2+62a2+2b2+2c2+2a−1+b2+62a2+2b2+2c2+2b−1+c2+62a2+2b2+2c2+2c−1≤3.\frac{a^2 + 6}{2a^2 + 2b^2 + 2c^2 + 2a - 1} + \frac{b^2 + 6}{2a^2 + 2b^2 + 2c^2 + 2b - 1} + \frac{c^2 + 6}{2a^2 + 2b^2 + 2c^2 + 2c - 1} \leq 3.2a2+2b2+2c2+2a−1a2+6+2a2+2b2+2c2+2b−1b2+6+2a2+2b2+2c2+2c−1c2+6≤3.