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• 2004 IMO Problems/Problem 2
  ...a,b,c</math> such that <math>ab + bc + ca = 0</math> we have the following relations
  2 KB (373 words) - 00:52, 19 November 2023
• 2002 AMC 12A Problems/Problem 14
  ...} n^2</math>. Let <math>N=f(11)+f(13)+f(14)</math>. Which of the following relations is true?
  694 bytes (106 words) - 20:43, 25 August 2022
• 2010 USAMO Problems/Problem 3
  recurrence relations:
  11 KB (1,889 words) - 13:45, 4 July 2013
• 1958 AHSME Problems
  ...h> and <math> \overline{EC}</math> are drawn. Which of the following angle relations is true?
  25 KB (3,872 words) - 14:21, 20 February 2020
• 1998 IMO Shortlist Problems/N1
  We have the following divisibility relations, <cmath>ab^2+b+7|a^2b+a+b|b(a^2b+a+b)=a^2b^2+ab+b^2</cmath>
  947 bytes (169 words) - 04:20, 16 August 2011
• Mock AIME I 2012 Problems/Problem 4
  It is easy to see that we have the following recursive relations: <math>a_n = 3a_{n-1}^2, b_n = 3b_{n-1}^2+2b_{n-1}+1</math>.
  1 KB (250 words) - 17:33, 7 April 2012
• 1988 USAMO Problems/Problem 5
  which gets us the same relations (for <math>n\leq 32</math>).
  8 KB (1,348 words) - 09:44, 25 June 2022
• 1977 USAMO Problems/Problem 3
  First, Vieta's relations give <math>a+b+c+d = -1 , ab+ac+ad+bc+bd+cd=0, abc+abd+acd+bcd=0, abcd = -1
  1 KB (212 words) - 22:46, 20 September 2022
• 2013 USAMO Problems/Problem 2
  For the sake of convenience in determining recurrence relations, we define another type of board with two <math>1\times n</math> boards whe We can determine reccurence relations for <math>s_n</math>, <math>t_n</math>, and <math>u_n</math> in terms of ea
  14 KB (2,076 words) - 20:29, 10 July 2023
• 2013 USAJMO Problems/Problem 1
  ...5a+3 \equiv 3 \pmod 9</math>. So 6 mod 9 case is eliminated from the above relations of congruences
  9 KB (1,494 words) - 02:45, 10 May 2024
• 1995 USAMO Problems/Problem 4
  Since <math>kQ(x)</math> satisfies these relations as well, and <math>kq_m=kQ(m)</math>,
  3 KB (502 words) - 15:27, 11 May 2018
• 1951 AHSME Problems/Problem 27
  <math> \textbf{(E)}\ \text{none of the above relations are true} </math> ...-All of the relationships don't work so we must choose the last choice, no relations.
  2 KB (321 words) - 15:48, 10 September 2018
• 1958 AHSME Problems/Problem 29
  ...h> and <math> \overline{EC}</math> are drawn. Which of the following angle relations is true?
  996 bytes (169 words) - 06:21, 3 October 2014
• 1975 AHSME Problems
  A woman, her brother, her son and her daughter are chess players (all relations by birth). The worst player's twin (who is one of the four players) and the
  16 KB (2,512 words) - 04:48, 27 November 2021
• 2006 iTest Problems
  ...positive reals <math>x</math>, <math>y</math>, <math>z</math> satisfy the relations
  31 KB (4,811 words) - 00:02, 4 November 2023
• MIE 2015/Day 1/Problem 6
  So we got these three relations
  6 KB (962 words) - 00:39, 1 September 2021
• MIE 2015/Day 1/Problem 2
  By Girard's relations (also called Vieta's formulas or Newton's identities),
  650 bytes (110 words) - 14:25, 11 January 2018
• 2018 AIME I Problems/Problem 7
  ...the prism is symmetrical) to all the other 11 vertices. Using Pythagorean relations, we find that the distances are <math>1</math>, <math>\sqrt{3}</math>, <mat
  6 KB (1,023 words) - 10:38, 21 November 2023
• 2019 AMC 12A Problems/Problem 25
  ...</math>, we have <math>x_n=180^\circ-2x_{n-1}</math> (identical recurrence relations can be derived for <math>y_n</math> and <math>z_n</math>). To find an expli
  5 KB (933 words) - 22:23, 2 January 2024
• 2004 IMO Problems
  ...a,b,c</math> such that <math>ab + bc + ca = 0</math> we have the following relations
  3 KB (488 words) - 04:36, 21 February 2021

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