10 September 2011

• 07:2407:24, 10 September 2011 diff hist +619 N AoPS Wiki talk:Problem of the Day/September 10, 2011 Created page with "Let <cmath>S=\frac{F_1}{3}+\frac{F_2}{9}+\frac{F_3}{27}+\frac{F_4}{81}+\frac{F_5}{243}+\cdots</cmath> Multiplying through by 1/3, we see <cmath>\frac{1}{3}S=\frac{F_1}{9}+\frac{F..."
• 07:2307:23, 10 September 2011 diff hist +55 m AoPS Wiki:Problem of the Day/September 10, 2011 No edit summary
• 07:2307:23, 10 September 2011 diff hist +257 N AoPS Wiki:Problem of the Day/September 10, 2011 Created page with "Let <math>F_0 = 0</math>, <math>F_1 = 1</math>, and <math>F_n = F_{n - 1} + F_{n - 2}</math>. Find the value of the infinite sum <cmath>\sum_{n=1}^{\infty}\frac{F_n}{3^n}=\frac{..."

9 September 2011

• 19:0019:00, 9 September 2011 diff hist −28 m AoPS Wiki:Community portal No edit summary
• 16:0016:00, 9 September 2011 diff hist +651 N AoPS Wiki talk:Problem of the Day/September 9, 2011 Created page with "We see that, by Vieta, <math>a+b+c=1</math>. Thus, <cmath>\frac{a}{a+b+c-a}+\frac{b}{a+b+c-b}+\frac{c}{a+b+c-c}=\frac{a}{1-a}+\frac{b}{1-b}+\frac{c}{1-c}</cmath> which we can ma..." current
• 16:0016:00, 9 September 2011 diff hist +55 m AoPS Wiki:Problem of the Day/September 9, 2011 No edit summary current
• 15:5915:59, 9 September 2011 diff hist +303 N AoPS Wiki:Problem of the Day/September 9, 2011 Created page with "Assume that <math>a</math>, <math>b</math>, and <math>c</math> are roots of <cmath>2x^3-2x^2-x+4.</cmath> Let <cmath>\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}</cmath> be equal ..."

8 September 2011

• 15:5715:57, 8 September 2011 diff hist +693 N AoPS Wiki talk:Problem of the Day/September 8, 2011 Created page with "==Solution== We see complicated expressions, so we replace them with variables. Let <math>a=2^x-4</math> and <math>b=4^x-2</math>. Then our equation reads <math>a^3+b^3=(a+b)^..." current
• 15:5615:56, 8 September 2011 diff hist +91 AoPS Wiki:Problem of the Day/September 8, 2011 No edit summary current
• 15:5115:51, 8 September 2011 diff hist +55 m AoPS Wiki:Problem of the Day/September 8, 2011 No edit summary
• 15:5015:50, 8 September 2011 diff hist +109 N AoPS Wiki:Problem of the Day/September 8, 2011 Created page with "Find the sum of all real <math>x</math> such that <math>(2^x - 4)^3 + (4^x - 2)^3 = (4^x + 2^x - 6)^3</math>."

7 September 2011

• 10:5910:59, 7 September 2011 diff hist +20 m LaTeX:Packages →Common Packages
• 09:1609:16, 7 September 2011 diff hist +2 m AoPS Wiki talk:Problem of the Day/September 7, 2011 →Solution current
• 08:2508:25, 7 September 2011 diff hist +4 m List of United States high school mathematics competitions →National high school mathematics competitions
• 08:0908:09, 7 September 2011 diff hist 0 m AoPS Wiki:Requests No edit summary
• 08:0808:08, 7 September 2011 diff hist +190 N Weight Created page with "The weight of an object is the mass divided by the Acceleration due to gravity at any particular point. It is always a constant, and is measured in kilograms in the SI syste..."
• 08:0008:00, 7 September 2011 diff hist +313 N AoPS Wiki:Problem of the Day/September 1, 2011 Created page with "In how many ways can the letters in the word "mathematical" be arranged if exactly one of the following criteria must be met: 1) The two a's are NOT next to each other. 2) The ..."
• 07:4307:43, 7 September 2011 diff hist +2 Category:3D Geometry Problems No edit summary
• 07:4307:43, 7 September 2011 diff hist +28 m 1994 AIME No edit summary current
• 07:4107:41, 7 September 2011 diff hist +28 m 2001 AIME I No edit summary current
• 07:4107:41, 7 September 2011 diff hist +28 m 2000 AIME II No edit summary current
• 07:4107:41, 7 September 2011 diff hist +28 m 2000 AIME I No edit summary
• 07:4107:41, 7 September 2011 diff hist +28 1999 AIME No edit summary current
• 07:3907:39, 7 September 2011 diff hist +28 1998 AIME No edit summary current
• 07:3907:39, 7 September 2011 diff hist +28 1997 AIME No edit summary current
• 07:3907:39, 7 September 2011 diff hist +28 1996 AIME No edit summary current
• 07:3807:38, 7 September 2011 diff hist +28 1995 AIME No edit summary current
• 07:3607:36, 7 September 2011 diff hist +241 N Category:3D Geometry Problems Created page with "The following pages are notable 3-dimensional geometry problems. This really needs to be expanded. If you wish to add a page to this, attach <nowiki><noinclude>[[category:Prob..."
• 07:3407:34, 7 September 2011 diff hist +153 N AoPS Wiki:Problem of the Day/September 2, 2011 Created page with "How many ways are there to rearrange the letters of the word "uncopyrightable?" {{potd_solution}} <noinclude>category:Problem of the Day</noinclude>"
• 07:3207:32, 7 September 2011 diff hist +18 AoPS Wiki:Problem of the Day/September 3, 2011 No edit summary current
• 07:3207:32, 7 September 2011 diff hist +56 AoPS Wiki:Problem of the Day/September 3, 2011 No edit summary
• 07:3107:31, 7 September 2011 diff hist +2 m AoPS Wiki:Problem of the Day/September 4, 2011 No edit summary current
• 07:3007:30, 7 September 2011 diff hist +18 AoPS Wiki:Problem of the Day/September 4, 2011 No edit summary
• 07:3007:30, 7 September 2011 diff hist +55 AoPS Wiki:Problem of the Day/September 4, 2011 No edit summary
• 07:2807:28, 7 September 2011 diff hist −55 AoPS Wiki talk:Problem of the Day/September 5, 2011 No edit summary current
• 07:2707:27, 7 September 2011 diff hist −55 AoPS Wiki talk:Problem of the Day/September 7, 2011 No edit summary
• 07:2607:26, 7 September 2011 diff hist +55 AoPS Wiki talk:Problem of the Day/September 5, 2011 No edit summary
• 07:2607:26, 7 September 2011 diff hist +140 AoPS Wiki:Problem of the Day/September 5, 2011 No edit summary current
• 07:2407:24, 7 September 2011 diff hist +55 AoPS Wiki talk:Problem of the Day/September 7, 2011 No edit summary
• 07:2407:24, 7 September 2011 diff hist +13 m AoPS Wiki talk:Problem of the Day/September 7, 2011 No edit summary
• 07:2307:23, 7 September 2011 diff hist +55 AoPS Wiki:Problem of the Day/September 6, 2011 No edit summary current
• 07:2207:22, 7 September 2011 diff hist +859 N AoPS Wiki talk:Problem of the Day/September 7, 2011 Created page with "Raising that thing to the seventh doesn't look appealing, nor does solving for <math>x</math>. So we try getting to <math>x^7+\frac{1}{x^7}</math> gradually. Since <math>x+\fra..."
• 07:2107:21, 7 September 2011 diff hist +55 AoPS Wiki:Problem of the Day/September 7, 2011 No edit summary current
• 07:1807:18, 7 September 2011 diff hist +87 N AoPS Wiki:Problem of the Day/September 7, 2011 Created page with "Given <cmath>x + \frac{1}{x} = 1,</cmath> calculate <cmath>x^7 + \frac{1}{x^7}.</cmath>"

6 September 2011

• 18:2518:25, 6 September 2011 diff hist +480 Problem solving No edit summary
• 17:2117:21, 6 September 2011 diff hist +1,790 N 1994 AHSME Created page with "'''1994 AHSME''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * [[1994 AHSME Probl..."
• 17:1417:14, 6 September 2011 diff hist +726 N AoPS Wiki talk:Problem of the Day/September 6, 2011 Created page with "Since <math>a>b>c>d</math>, <math>a+b>c+d</math>, so <math>a+b>512</math> and since <math>a>b</math>, <math>a>512</math>. If we were to have <math>a-b\geq2</math>, then <math>a^..." current
• 16:2516:25, 6 September 2011 diff hist +11 AoPS Wiki:Problem of the Day/September 6, 2011 No edit summary
• 16:2516:25, 6 September 2011 diff hist +199 N AoPS Wiki:Problem of the Day/September 6, 2011 Created page with "The integers <math>a,b,c,d</math> satisfy <math>a > b > c > d</math> and \[ a + b + c + d = 2048 \ \textrm{ and }\ a^2 - b^2 + c^2 - d^2 = 2048. \] Find the smallest possible val..."
• 16:2116:21, 6 September 2011 diff hist 0 m User:Negativebplusorminus →Notable Work