Question

Proving with AM-GM Inequality

score 758 · Answer 1 · 2026-03-25 18:58:50

758

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Proving with AM-GM Inequality

Published on 25 Mar 2026 - 18:58

score 99 · Answer 2 · 2017-04-15 09:14:28

99

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Solving $x = \left(\frac{ab}{cd}\right)^{0.68}$ for $a$.

Published on 15 Apr 2017 - 9:14

score 26 · Answer 3 · 2017-04-15 15:10:24

26

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Decompose a fraction into a sum of fractions (with complex variable)

Published on 15 Apr 2017 - 15:10

score 120 · Answer 4 · 2026-04-01 03:44:21

120

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Prove inequality $\sum\frac{{{a^3} - {b^3}}}{{{{\left( {a - b} \right)}^3}}}\ge \frac{9}{4}$

Published on 01 Apr 2026 - 3:44

score 407 · Answer 5 · 2026-03-29 14:59:08

407

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proving that $\frac{1}{\sqrt a + \sqrt b} +\frac{1}{\sqrt b + \sqrt c} + \frac{1}{\sqrt c + \sqrt d} = \frac{3}{\sqrt a + \sqrt d} $ for any A.P.

Published on 29 Mar 2026 - 14:59

score 241 · Answer 6 · 2017-04-18 02:04:15

241

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Why $\frac {a}{b} = \frac {c}{d} \implies \frac {a+c}{b+d} = \frac {a}{b} = \frac {c}{d}$?

Published on 18 Apr 2017 - 2:04

score 6.7k · Answer 7 · 2026-03-30 09:51:39

6.7k

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How to find the partial fraction of $\frac{z^2-1}{(z+1) (z+2)}$?

Published on 30 Mar 2026 - 9:51

score 206 · Answer 8 · 2017-04-20 14:34:38

206

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Finding $\lim_{n\rightarrow \infty}\frac{1+2^2+3^3+4^4+\cdots +n^n}{n^n}$

Published on 20 Apr 2017 - 14:34

score 56 · Answer 9 · 2026-04-01 15:38:37

56

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Solving inverse trig question without forming cases

Published on 01 Apr 2026 - 15:38

score 578 · Answer 10 · 2026-03-30 09:49:18

578

Views

The numerators in partial fraction decomposition involving repeated factors

Published on 30 Mar 2026 - 9:49

score 178 · Answer 11 · 2026-03-30 10:23:41

178

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Prove that $\sum\limits_{i=1}^n\left(\frac{x_i}{x_{i+1}}\right)^{4}\geq\sum\limits_{i=1}^n\frac{x_i}{x_{i+4}}$

Published on 30 Mar 2026 - 10:23

score 7.8k · Answer 12 · 2017-04-23 05:42:35

7.8k

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Why are numerator and denominator called so?

Published on 23 Apr 2017 - 5:42

score 104 · Answer 13 · 2026-03-30 10:25:17

104

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Prove this inequality $\sum_{cyc}\frac{1}{x+3y}\ge\sum_{cyc} \frac{1}{z+2x+y}$

Published on 30 Mar 2026 - 10:25

score 1.1k · Answer 14 · 2017-04-24 02:02:07

1.1k

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The division of a fraction - Whole or Part?

Published on 24 Apr 2017 - 2:02

score 2.7k · Answer 15 · 2017-04-25 13:51:49

2.7k

Views

If $\frac{a}{b} = \frac{c}{d}$ why does $\frac{a+c}{b + d} = \frac{a}{b} = \frac{c}{d}$?

Published on 25 Apr 2017 - 13:51

List Question

Proving with AM-GM Inequality

Solving $x = \left(\frac{ab}{cd}\right)^{0.68}$ for $a$.

Decompose a fraction into a sum of fractions (with complex variable)

Prove inequality $\sum\frac{{{a^3} - {b^3}}}{{{{\left( {a - b} \right)}^3}}}\ge \frac{9}{4}$

proving that $\frac{1}{\sqrt a + \sqrt b} +\frac{1}{\sqrt b + \sqrt c} + \frac{1}{\sqrt c + \sqrt d} = \frac{3}{\sqrt a + \sqrt d} $ for any A.P.

Why $\frac {a}{b} = \frac {c}{d} \implies \frac {a+c}{b+d} = \frac {a}{b} = \frac {c}{d}$?

How to find the partial fraction of $\frac{z^2-1}{(z+1) (z+2)}$?

Finding $\lim_{n\rightarrow \infty}\frac{1+2^2+3^3+4^4+\cdots +n^n}{n^n}$

Solving inverse trig question without forming cases

The numerators in partial fraction decomposition involving repeated factors

Prove that $\sum\limits_{i=1}^n\left(\frac{x_i}{x_{i+1}}\right)^{4}\geq\sum\limits_{i=1}^n\frac{x_i}{x_{i+4}}$

Why are numerator and denominator called so?

Prove this inequality $\sum_{cyc}\frac{1}{x+3y}\ge\sum_{cyc} \frac{1}{z+2x+y}$

The division of a fraction - Whole or Part?

If $\frac{a}{b} = \frac{c}{d}$ why does $\frac{a+c}{b + d} = \frac{a}{b} = \frac{c}{d}$?

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