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nguyenhuyenag

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8 Prove that $\frac{a^2}{a^2+bc}+\frac{b^2}{b^2+ac}+\frac{c^2}{c^2+ab}<2$ Feb 18
7 Prove $(a^2+b^2+c^2)^3 \geqq 9(a^3+b^3+c^3)$ Jun 4 '20
7 Finding the maximum value of $\sum_{cyc}\frac{1}{a^2-4a+9}$ s.t. $a+b+c =1$ Aug 31 '20
6 Inequality with a High Degree Constraint Aug 1 '20
6 $xy\sqrt[3]\frac{x^3+y^3}{2}\leq \frac{(x+y)^3}{8}$ for $x,y>0$ Jan 19
6 Application of AM-GM inequality to specific contest problem Sep 13 '20
5 Alternative approach for proving that for any $x\in\mathbb R^+$, $x^2+3x+\frac{1}{x} \ge \frac{15}{4}$. Sep 24 '20
5 prove that $\sum_{cyc}\frac{a}{b^2+c^2}\ge \frac{4}{5}\sum_{cyc}\frac{1}{b+c}$ Oct 7 '20
5 $a^2 + b^2 + c^2 + 6\ge 3(a + b + c), abc = 1$ Dec 18 '20
5 Inequality $\frac{a}{a^2+1}+\frac{b}{b^2+1}+\frac{c}{c^2+1} \leq \frac{9}{10}$ Dec 21 '20
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