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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: 1,693
    October 8th, 2013, 03:20 Go to last post
  1. Normal Thread Normal Threads

  2. Total area of inscribed squares

    Started by lfdahl, Yesterday 17:21
    area, circle, inscribed, square, total
    • Replies: 3
    • Views: 72
    Today, 16:07 Go to last post
  3. incircle and circumscribed circle

    Started by Albert, March 15th, 2017 09:53
    • Replies: 1
    • Views: 85
    Today, 13:13 Go to last post
  4. Triangle inequality

    Started by lfdahl, March 20th, 2017 17:38
    inequality, prod_cycsin, prove, sum_cycsin, triangle
    • Replies: 1
    • Views: 100
    March 26th, 2017, 15:14 Go to last post
  5. 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: 97
    March 18th, 2017, 11:02 Go to last post
  6. find relation equation between a,b

    Started by Albert, March 16th, 2017 10:30
    equation, find, integer, positive, relation
    • Replies: 4
    • Views: 124
    March 17th, 2017, 08:51 Go to last post
  7. find (m,n)

    Started by Albert, March 15th, 2017 09:26
    $m^2-2mn+14n^2=217$, find, nin, solutions
    • Replies: 5
    • Views: 132
    March 16th, 2017, 10:43 Go to last post
  8. 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: 94
    March 16th, 2017, 06:54 Go to last post
  9. Divisibility proved

    Started by lfdahl, March 13th, 2017 08:12
    $343$, 652, divisibility, divisible, prove
    • Replies: 2
    • Views: 129
    March 14th, 2017, 15:39 Go to last post
  10. 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: 346
    March 13th, 2017, 14:22 Go to last post
  11. 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: 242
    March 11th, 2017, 12:16 Go to last post
  12. prove (a+b)^2(a-b)=ab^2

    Started by Albert, March 3rd, 2017 10:25
    • Replies: 3
    • Views: 188
    March 8th, 2017, 18:35 Go to last post
  13. 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: 98
    March 7th, 2017, 05:09 Go to last post
  14. 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: 174
    March 6th, 2017, 11:01 Go to last post
  15. Find all integers ...

    Started by lfdahl, March 2nd, 2017 16:08
    elements, find, integers, sum, union
    • Replies: 4
    • Views: 132
    March 4th, 2017, 17:00 Go to last post
  16. find AB+AC=?

    Started by Albert, March 3rd, 2017 10:43
    • Replies: 1
    • Views: 85
    March 4th, 2017, 15:56 Go to last post
  17. Integer solutions

    Started by lfdahl, March 2nd, 2017 16:02
    $x^3+y^3+z^3, equation, integer, prove, solutions
    • Replies: 2
    • Views: 108
    March 3rd, 2017, 12:50 Go to last post
  18. GCD challenge

    Started by lfdahl, February 28th, 2017 15:03
    $$left1+sqrt2right^2017, $a$, $b$, gcd, satisfying
    • Replies: 2
    • Views: 144
    March 1st, 2017, 15:40 Go to last post
  19. Compute The Limit

    Started by MarkFL, February 26th, 2017 23:47
    compute, dxright, left1+x^nright^n, limit
    • Replies: 4
    • Views: 186
    February 28th, 2017, 05:06 Go to last post
  20. trigonometric inequality challenge

    Started by Albert, February 25th, 2017 07:21
    challenge, cos, inequality, sin, trigonometric
    • Replies: 3
    • Views: 143
    February 26th, 2017, 17:45 Go to last post
  21. find the integer part

    Started by Albert, February 19th, 2017 22:45
    a_n+1=a_n^2+a_n, find, integer, part, sequencea_1=dfrac
    • Replies: 5
    • Views: 223
    February 26th, 2017, 12:07 Go to last post
  22. trigonometry

    Started by kaliprasad, February 1st, 2017 07:41
    $atan, $tanx+y, $tanx-y, show, trigonomerty
    • Replies: 2
    • Views: 189
    February 26th, 2017, 02:50 Go to last post
  23. Prove an inequality

    Started by lfdahl, February 23rd, 2017 15:00
    $sqrt1+sqrt2+sqrt3+, inequality, prove, sqrt2006
    • Replies: 2
    • Views: 124
    February 25th, 2017, 17:19 Go to last post
  24. find tan 15 and cos 72 (using geometry)

    Started by Albert, February 24th, 2017 22:38
    • Replies: 7
    • Views: 159
    February 25th, 2017, 08:09 Go to last post
  25. find (a,b)

    Started by Albert, February 14th, 2017 22:14
    $k=dfrac, ab^2-1a^2b+1in, bin, find
    • Replies: 1
    • Views: 129
    February 17th, 2017, 07:04 Go to last post
  26. pair numbers of (x,y)

    Started by Albert, February 14th, 2017 10:52
    $dfrac, 1201$, 1x+dfrac, 1y=dfrac, test
    • Replies: 2
    • Views: 146
    February 17th, 2017, 02:59 Go to last post
  27. find value(s) of x

    Started by Albert, February 14th, 2017 22:01
    $sqrt, 1x+1+sqrt, find, values, x+dfrac
    • Replies: 3
    • Views: 183
    February 16th, 2017, 09:40 Go to last post
  28. Game on a chessboard

    Started by Evgeny.Makarov, February 14th, 2017 13:25
    game, john, move, peter, squares
    • Replies: 0
    • Views: 57
    February 14th, 2017, 13:25 Go to last post
  29. Find the maximum and minimum

    Started by lfdahl, February 10th, 2017 14:28
    $c$, a-b^3+b-c^3+c-a^3, find, maximum, minimum
    • Replies: 3
    • Views: 162
    February 12th, 2017, 14:51 Go to last post
  30. Product of seven integers

    Started by Evgeny.Makarov, February 8th, 2017 13:58
    integers, numbers, product, resulting, times
    • Replies: 6
    • Views: 188
    February 10th, 2017, 18:00 Go to last post

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