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• 2021 JMC 10
  For some real <math>x,</math> the area of a square equals <math>3x+1</math> and the product of th ...h>ABCD</math> be a square with sides of length <math>4.</math> Point <math>X</math> is on side <math>{CD}</math> and point <math>Y</math> is on side <ma
  12 KB (1,784 words) - 16:49, 1 April 2021
• 2015 USAMO Problems/Problem 5
  ...oven in 2009 by Michael Bennet, Jordan Ellenberg, and Nathan Ng, as <math>(x, y, z) = (2, 4, n)</math>. This case <math>a^4+b^4=e^5</math> is obviously
  3 KB (517 words) - 21:37, 11 February 2024
• 2021 JMC 10 Problems/Problem 12
  ...for an integer <math>n.</math> The two lines divide the region <math>y \ge x^2</math> into four regions, with regions possibly having infinite area. Wha ...math> at <math>(0,0),</math> we have <math>n=0.</math> Similarly, if <math>x+y=n</math> intersects <math>y=2x</math> at <math>(2,4),</math> we have <mat
  1 KB (187 words) - 16:15, 1 April 2021