Question

Inequality $\frac{b}{ab+b+1} + \frac{c}{bc+c+1} + \frac{a}{ac+a+1} \ge \frac{3m}{m^2+m+1}$

score 240 · Answer 1 · 2026-03-26 14:22:57

240

Views

Inequality $\frac{b}{ab+b+1} + \frac{c}{bc+c+1} + \frac{a}{ac+a+1} \ge \frac{3m}{m^2+m+1}$

Published on 26 Mar 2026 - 14:22

score 406 · Answer 2 · 2017-05-04 11:01:58

406

Views

Sum of Unit Fractions Equal to 1 Has Finitely Many Solutions

Published on 04 May 2017 - 11:01

score 142 · Answer 3 · 2017-05-04 16:33:31

142

Views

Minimization of $\frac{a_1+a_2x_2+a_3x_3}{b_1+b_2x_2+b_3x_3}$

Published on 04 May 2017 - 16:33

score 146 · Answer 4 · 2017-05-05 15:28:20

146

Views

Theorems of mine(?)

Published on 05 May 2017 - 15:28

score 85 · Answer 5 · 2017-05-06 09:12:55

85

Views

How did they get 2n + 10 here?

Published on 06 May 2017 - 9:12

score 172 · Answer 6 · 2026-03-30 10:25:18

172

Views

Prove that $\frac{1+ab}{1+a}+\frac{1+bc}{1+b}+\frac{1+ca}{1+c}\geq 3$

Published on 30 Mar 2026 - 10:25

score 33 · Answer 7 · 2017-05-07 19:49:50

33

Views

Filling gaps with set numbers to reach a maximum value?

Published on 07 May 2017 - 19:49

score 351 · Answer 8 · 2017-05-09 11:20:18

What is this equality: $\frac{\theta/(\theta+1)^{x+k}}{\theta^k}=(\frac1{\theta+1})^k(\frac{\theta}{\theta+1})^x$? How to work it out?

score 59 · Answer 9 · 2017-05-09 13:47:09

59

Views

Solve $\frac{2}{x}<3$ over the reals.

Published on 09 May 2017 - 13:47

score 240 · Answer 10 · 2026-03-27 10:12:57

240

Views

Given $a+b+c+d=4$ To find Minimum value of $\frac{a}{b^3+4}+\frac{b}{c^3+4}+\frac{c}{d^3+4}+\frac{d}{a^3+4}$

Published on 27 Mar 2026 - 10:12

score 84 · Answer 11 · 2017-05-12 15:33:21

84

Views

Simplified Fraction.

Published on 12 May 2017 - 15:33

score 123 · Answer 12 · 2017-05-12 16:09:03

123

Views

Simplifying $\lim_{n\to \infty} \frac{\sqrt[n]{2}-1}{\sqrt[n]{8}-1}$

Published on 12 May 2017 - 16:09

score 53 · Answer 13 · 2017-05-14 12:14:41

53

Views

Solve $\sum_{i=1}^{200} {1\over{1+x_i}} =?$

Published on 14 May 2017 - 12:14

score 1k · Answer 14 · 2026-04-01 08:53:57

1k

Views

Moving decimal on multiplying or dividing by power of 10

Published on 01 Apr 2026 - 8:53

score 98 · Answer 15 · 2026-03-25 12:27:21

98

Views

Prove that $\sum_{cyc}\frac{x}{y^2+z^2}\ge\frac{3\sqrt3}2$

Published on 25 Mar 2026 - 12:27

List Question

Inequality $\frac{b}{ab+b+1} + \frac{c}{bc+c+1} + \frac{a}{ac+a+1} \ge \frac{3m}{m^2+m+1}$

Sum of Unit Fractions Equal to 1 Has Finitely Many Solutions

Minimization of $\frac{a_1+a_2x_2+a_3x_3}{b_1+b_2x_2+b_3x_3}$

Theorems of mine(?)

How did they get 2n + 10 here?

Prove that $\frac{1+ab}{1+a}+\frac{1+bc}{1+b}+\frac{1+ca}{1+c}\geq 3$

Filling gaps with set numbers to reach a maximum value?

What is this equality: $\frac{\theta/(\theta+1)^{x+k}}{\theta^k}=(\frac1{\theta+1})^k(\frac{\theta}{\theta+1})^x$? How to work it out?

Solve $\frac{2}{x}<3$ over the reals.

Given $a+b+c+d=4$ To find Minimum value of $\frac{a}{b^3+4}+\frac{b}{c^3+4}+\frac{c}{d^3+4}+\frac{d}{a^3+4}$

Simplified Fraction.

Simplifying $\lim_{n\to \infty} \frac{\sqrt[n]{2}-1}{\sqrt[n]{8}-1}$

Solve $\sum_{i=1}^{200} {1\over{1+x_i}} =?$

Moving decimal on multiplying or dividing by power of 10

Prove that $\sum_{cyc}\frac{x}{y^2+z^2}\ge\frac{3\sqrt3}2$

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