Question 146
Given real numbers $a$, $b$, $c$, satisfying $a + b + c = 1$, prove that
$$10(a^3 + b^3 + c^3) - 9(a^5 + b^5 + c^5) \ge 1.$$ (posed by Li Shenghong)
$$10(a^3 + b^3 + c^3) - 9(a^5 + b^5 + c^5) \ge 1.$$ (posed by Li Shenghong)
MathNet 2005 — Part 02 Question 146
Math Olympiad Vault · MathNet 2005 — Part 02