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Forum: Challenge Questions and Puzzles

Have a challenging question or puzzle you want to share with the community? Post it here (homework questions do NOT belong here).

  1. Sticky Thread Sticky Threads

    • Replies: 1
    • Views: 1,718
    October 8th, 2013, 03:20 Go to last post
  1. Normal Thread Normal Threads

  2. Regular hexagon

    Started by Albert, April 17th, 2017 23:18
    • Replies: 1
    • Views: 93
    April 25th, 2017, 21:02 Go to last post
  3. A,B,C,D cocyclic

    Started by Albert, April 24th, 2017 20:21
    $abcd$, cocyclic, cyclic, quadrilateral
    • Replies: 0
    • Views: 54
    April 24th, 2017, 20:21 Go to last post
  4. geometry to be proved

    Started by Albert, April 15th, 2017 12:02
    • Replies: 2
    • Views: 136
    April 24th, 2017, 12:01 Go to last post
  5. prove no solution

    Started by Albert, April 17th, 2017 23:01
    1x^2+dfrac1xy+dfrac, dfrac, prove, solution, yin
    • Replies: 1
    • Views: 111
    April 18th, 2017, 09:34 Go to last post
  6. find A

    Started by Albert, April 17th, 2017 22:57
    $a$4, $a=overlineabcd$, digital, find, number$=overlineabcd$
    • Replies: 2
    • Views: 114
    April 18th, 2017, 07:49 Go to last post
  7. Find remainder when

    Started by kaliprasad, April 16th, 2017 01:59
    2015, 2016-1󫢭, 2󫶚, find, remainder
    • Replies: 2
    • Views: 129
    April 17th, 2017, 00:06 Go to last post
  8. numbers of right angled triangles

    Started by Albert, April 15th, 2017 11:30
    angled, numbers, numers, points, triangles
    • Replies: 4
    • Views: 135
    April 15th, 2017, 21:50 Go to last post
  9. find value of x-y+z

    Started by Albert, April 15th, 2017 12:19
    3x-4y=0---1, find, leftbeginmatrix, x-y+z
    • Replies: 2
    • Views: 87
    April 15th, 2017, 13:10 Go to last post
  10. Sequence challenge

    Started by lfdahl, April 2nd, 2017 14:18
    $a_n, challenge, prove, sequence
    • Replies: 3
    • Views: 174
    April 6th, 2017, 09:11 Go to last post
  11. Expressing a polynomial by two other polynomials

    Started by lfdahl, March 29th, 2017 11:58
    expressing, integer, polynomial, polynomials, x-a^2x-b^2
    • Replies: 2
    • Views: 128
    April 1st, 2017, 14:55 Go to last post
  12. Total area of inscribed squares

    Started by lfdahl, March 27th, 2017 17:21
    area, circle, inscribed, square, total
    • Replies: 3
    • Views: 159
    March 28th, 2017, 16:07 Go to last post
  13. incircle and circumscribed circle

    Started by Albert, March 15th, 2017 09:53
    • Replies: 1
    • Views: 132
    March 28th, 2017, 13:13 Go to last post
  14. Prove: f(x) = 0 has infinitely many solutions

    Started by lfdahl, March 27th, 2017 11:09
    $[0;1]$, function, infinitely, prove, solutions
    • Replies: 2
    • Views: 128
    March 27th, 2017, 16:49 Go to last post
  15. Triangle inequality

    Started by lfdahl, March 20th, 2017 17:38
    inequality, prod_cycsin, prove, sum_cycsin, triangle
    • Replies: 1
    • Views: 119
    March 26th, 2017, 15:14 Go to last post
  16. prove AC^2=AB(AB+BC)

    Started by Albert, March 18th, 2017 03:39
    $triangle, abc, ac^2=abab+bc, angle, prove
    • Replies: 3
    • Views: 123
    March 18th, 2017, 11:02 Go to last post
  17. find relation equation between a,b

    Started by Albert, March 16th, 2017 10:30
    equation, find, integer, positive, relation
    • Replies: 4
    • Views: 144
    March 17th, 2017, 08:51 Go to last post
  18. find (m,n)

    Started by Albert, March 15th, 2017 09:26
    $m^2-2mn+14n^2=217$, find, nin, solutions
    • Replies: 5
    • Views: 145
    March 16th, 2017, 10:43 Go to last post
  19. no positive integer solution

    Started by Albert, March 15th, 2017 09:22
    $x^2+y^2=1992---a$, integer, positive, pove, solution
    • Replies: 1
    • Views: 121
    March 16th, 2017, 06:54 Go to last post
  20. Divisibility proved

    Started by lfdahl, March 13th, 2017 08:12
    $343$, 652, divisibility, divisible, prove
    • Replies: 2
    • Views: 159
    March 14th, 2017, 15:39 Go to last post
  21. Prove, that there is no solution

    Started by lfdahl, March 10th, 2017 15:04
    2 Pages
    1 2
    2^left, m^3], natural, prove, solutions
    • Replies: 13
    • Views: 386
    March 13th, 2017, 14:22 Go to last post
  22. Evaluate x+1/x

    Started by lfdahl, March 8th, 2017 18:46
    $x^left, evaluate, sqrtleftxright+1$, x+1/x, x-sqrtleftxrightright=
    • Replies: 6
    • Views: 267
    March 11th, 2017, 12:16 Go to last post
  23. prove (a+b)^2(a-b)=ab^2

    Started by Albert, March 3rd, 2017 10:25
    • Replies: 3
    • Views: 204
    March 8th, 2017, 18:35 Go to last post
  24. Find all real solutions

    Started by lfdahl, March 6th, 2017 11:09
    $x^4+y^4+z^4, equation, find, real, solutions
    • Replies: 2
    • Views: 122
    March 7th, 2017, 05:09 Go to last post
  25. Inequality - proof wanted

    Started by lfdahl, March 2nd, 2017 15:57
    $sqrta1-b1-c+, 1.$, 1.$prove, inequality, sqrtb1-a1-c+sqrtc1-a1-b
    • Replies: 4
    • Views: 213
    March 6th, 2017, 11:01 Go to last post
  26. Find all integers ...

    Started by lfdahl, March 2nd, 2017 16:08
    elements, find, integers, sum, union
    • Replies: 4
    • Views: 157
    March 4th, 2017, 17:00 Go to last post
  27. find AB+AC=?

    Started by Albert, March 3rd, 2017 10:43
    • Replies: 1
    • Views: 105
    March 4th, 2017, 15:56 Go to last post
  28. Integer solutions

    Started by lfdahl, March 2nd, 2017 16:02
    $x^3+y^3+z^3, equation, integer, prove, solutions
    • Replies: 2
    • Views: 132
    March 3rd, 2017, 12:50 Go to last post
  29. GCD challenge

    Started by lfdahl, February 28th, 2017 15:03
    $$left1+sqrt2right^2017, $a$, $b$, gcd, satisfying
    • Replies: 2
    • Views: 179
    March 1st, 2017, 15:40 Go to last post
  30. Compute The Limit

    Started by MarkFL, February 26th, 2017 23:47
    compute, dxright, left1+x^nright^n, limit
    • Replies: 4
    • Views: 210
    February 28th, 2017, 05:06 Go to last post
  31. trigonometric inequality challenge

    Started by Albert, February 25th, 2017 07:21
    challenge, cos, inequality, sin, trigonometric
    • Replies: 3
    • Views: 161
    February 26th, 2017, 17:45 Go to last post

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