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• 2005 AMC 12B Problems/Problem 24
  The slope <math>BC</math> can also be solved similarly, noting that it makes a <math>120^{\circ}</math> angle with <math
  4 KB (761 words) - 09:10, 1 August 2023
• Variable
  ...ny problems [[algebra]]icly. For instance, [[word problem]]s can often be solved using variables to represent desired but unknown [[expression]]s.
  1 KB (203 words) - 21:35, 15 November 2007
• Problem solving
  ...ften says, sometimes, you just have to do something. A problem can’t be solved by just staring at it!
  6 KB (1,039 words) - 17:43, 30 July 2018
• 2004 AIME II Problems/Problem 14
  ...ct" <math>n</math> by summing all the sub-values from the cases that we've solved.
  11 KB (1,857 words) - 21:55, 19 June 2023
• 1984 AIME Problems
  ...</math>. From this, John was able to determine the number of problems Mary solved correctly. If Mary's score had been any lower, but still over <math>80</mat
  6 KB (933 words) - 01:15, 19 June 2022
• 1983 AIME Problems/Problem 15
  ...D is the only chord starting at A which is bisected by BC. This problem is solved if z=-z=0. Thus, z=0, and D=(0,5).
  20 KB (3,497 words) - 15:37, 27 May 2024
• 1984 AIME Problems/Problem 10
  ...</math>. From this, John was able to determine the number of problems Mary solved correctly. If Mary's score had been any lower, but still over <math>80</mat Note that if we have the number <math>25</math>, that can be solved via multiple methods, and if we keep repeating our cycle of base numbers, w
  7 KB (1,163 words) - 23:53, 28 March 2022
• 1986 AIME Problems/Problem 3
  Remark: The quadratic need not be solved. The value of <math>ab</math> can be found through Vieta's.
  3 KB (545 words) - 23:44, 12 October 2023
• 1988 AIME Problems/Problem 10
  .... Plugging in our numbers, we have that <math>V - 72 + 26 = 2</math>. When solved, this gives <math>V = 48</math>. Proceed using any of the methods above.
  6 KB (902 words) - 17:40, 19 May 2024
• 1997 AIME Problems/Problem 12
  ...<math>97</math>, take the average to get <math>\boxed{58}</math>. (Note I solved this problem the solution one way but noticed this and this probably genera
  11 KB (2,063 words) - 22:59, 21 October 2023
• 1997 AIME Problems/Problem 9
  ...th> satisfies the equation <math>a^2 = a+1</math> (this is the equation we solved to get it). Then, we can simplify <math>a^{12}</math> as follows using the
  4 KB (586 words) - 21:53, 30 December 2023
• 1998 AIME Problems/Problem 7
  We want <math>x_1 +x_2+x_3+x_4 =98</math>. This seems like it can be solved with stars and bars, however note that the quadruples all need to be odd. T
  5 KB (684 words) - 11:41, 13 August 2023
• 2000 AIME I Problems/Problem 7
  ...is the type of problem that makes you think symmetry, but actually can be solved easily with substitution, and other normal technniques
  5 KB (781 words) - 15:02, 20 April 2024
• 2005 AMC 10B Problems/Problem 20
  ...s <math>2</math> away from each other. The mean of the numbers than can be solved using these digits is <math>55555</math>. The total amount of numbers that
  2 KB (356 words) - 19:15, 17 September 2023
• Furman University Wylie Mathematics Tournament
  ...st has consisted of 32 multiple choice questions and two tiebreakers to be solved in 2 hours. The topics tested are generally the standard topics on non-[[C
  2 KB (365 words) - 21:21, 18 March 2017
• Pierre de Fermat
  ...advances were made over the next few hundred years towards it, yet no one solved it. A prize of 100,000 German marks was offered for the problem (though thi
  5 KB (860 words) - 17:10, 21 March 2023
• AoPS Wiki:AoPS-Mathlinks Rules and Tips
  ...u don't have its solution and you don't even know whether it has ever been solved. ...ms:</u> This is the archive for former "Unsolved" problems which were then solved. Don't post new problems here, it's an archive!
  9 KB (1,420 words) - 01:14, 1 September 2023
• P versus NP
  ...omial time. <math>NP</math> is the class of decision problems that can be solved by a ''non-deterministic'' algorithm in polynomial time. The <math>P</math
  6 KB (1,104 words) - 15:11, 25 October 2017
• Navier-Stokes Equation
  ...he help of [[calculus]]. In practical terms only the simplest cases can be solved in this way and their exact solution is known. These cases often involve no
  3 KB (553 words) - 22:08, 2 May 2022
• System of equations
  The first equation can be solved for <math>x</math>: <center><math> x = 12y + 2. </math></center> Some systems can be solved by taking advantage of specific forms. Such systems can often seem tough t
  5 KB (784 words) - 23:27, 30 July 2020

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