simmons

### Questions (52)

 21 Some four clubs have exactly $1$ student in common 15 Ratio of product from one point and minimum distance 13 Integer solutions of $x^3-x+9=5y^2$ 12 Inequality $(1+x_1)(1+x_2)\ldots(1+x_n)\left(\frac{1}{x_1}+\frac{1}{x_2}+\cdots+\frac{1}{x_n}\right)\geq 2n^2.$ 11 Minimum of $\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{c+a}}+\sqrt{\frac{c}{a+b}}$

### Reputation (2,477)

 +10 Reflection to get within convex polygon +10 Minimum of $\left(\frac{a}{b+c}\right)^p+\left(\frac{b}{c+a}\right)^p+\left(\frac{c}{a+b}\right)^p$ +10 Minimum of $\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{c+a}}+\sqrt{\frac{c}{a+b}}$ +10 Minimum of $\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{c+a}}+\sqrt{\frac{c}{a+b}}$

 10 Minimum of $\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{c+a}}+\sqrt{\frac{c}{a+b}}$ 5 Find all $a,b,c$ such that $\binom{a}{b} \binom{b}{c}=2\binom{a}{c}$ 2 Proving a Triangle inequality

### Tags (33)

 10 contest-math × 28 5 combinatorics × 26 10 algebra-precalculus × 9 2 geometry × 3 10 inequality × 6 0 probability × 10 10 a.m.-g.m.-inequality × 2 0 elementary-number-theory × 7 10 holder-inequality × 2 0 extremal-combinatorics × 6

### Accounts (3)

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