User contributions
- 21:34, 11 April 2019 (diff | hist) . . (+44) . . m 2005 JBMO Problems/Problem 4 (current)
- 10:59, 11 April 2019 (diff | hist) . . (+9) . . m 2005 JBMO Problems/Problem 4
- 10:58, 11 April 2019 (diff | hist) . . (+14) . . 2005 JBMO Problems/Problem 4
- 10:57, 11 April 2019 (diff | hist) . . (+750) . . N 2005 JBMO Problems/Problem 4 (Created page with "Let (a, b, c) = k Then a = pk b = qk c = rk 100a + 10b + c = abc(a + b + c) 100p + 10q + r = pqr(p + q + r)k^3 We see that if any of (a, b, c) is 0, all the terms are 0, an...")
- 19:21, 10 April 2019 (diff | hist) . . (+125) . . N 2005 JBMO Problems/Problem 3 (Created page with "a) Draw a square. The four vertices are the first four points. The fifth point is the intersection of the square's diagonals.") (current)
- 19:09, 10 April 2019 (diff | hist) . . (+10) . . 2004 JBMO Problems/Problem 3 (current)
- 19:08, 10 April 2019 (diff | hist) . . (0) . . m 2004 JBMO Problems/Problem 3
- 19:03, 10 April 2019 (diff | hist) . . (+321) . . N 2004 JBMO Problems/Problem 3 (Created page with "Let 4x + 3y = a^2 3x + 4y = b^2 Then 7(x + y) = a^2 + b^2 But any perfect square can only be congruent to 0,1,2, or 4 modulo 7 Thus a = 7p b = 7q x + y = 7(p^2 + q^...")