Posers and Puzzles

Posers and Puzzles

  1. my head
    Joined
    03 Oct '03
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    671
    04 Aug '04 21:27
    give two numbers A and B such that A:B::B:2A
    or prove that no such pair can exist.
  2. Standard memberopsoccergurl11
    rockin soccer kid
    over there
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    09 Jun '04
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    04 Aug '04 21:32
    when put in a fraction form, does it have to be defined?
    if not, then they're both zero
  3. DonationAcolyte
    Now With Added BA
    Loughborough
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    04 Jul '02
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    3790
    05 Aug '04 00:24
    Originally posted by fearlessleader
    give two numbers A and B such that A:B::B:2A
    or prove that no such pair can exist.
    B = sqrt(2)*A
  4. Standard memberTheMaster37
    Kupikupopo!
    Out of my mind
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    06 Aug '04 17:59
    Originally posted by opsoccergurl11
    when put in a fraction form, does it have to be defined?
    if not, then they're both zero
    A / B = B / 2A
  5. my head
    Joined
    03 Oct '03
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    671
    07 Aug '04 18:59
    Originally posted by Acolyte
    B = sqrt(2)*A
    thanks, A=1 and B=2^(1/2)

    the master's answer is just a restatment of the problem. with this ratio, one can make a varation of the golden fractal, exept by halving the rectangles insted of removing a square.
  6. Standard memberTheMaster37
    Kupikupopo!
    Out of my mind
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    07 Aug '04 20:34
    My answer was how you derive the solution, wich is even more important then the solution itself. And if you look closely i replied to soccergurl, who claimed both A and B to be zero.
  7. Standard memberopsoccergurl11
    rockin soccer kid
    over there
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    08 Aug '04 01:42
    im probably wrong, right? after i posted, i looked back and realized that i didnt understand what it was really asking
  8. Standard memberTheMaster37
    Kupikupopo!
    Out of my mind
    Joined
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    08 Aug '04 12:03
    *nods*

    My post is the problem restated into an equation, you can solve it to obtain what Acolyte posted 🙂

    A/B = B/2A

    2AA = BB

    +/- sqrt(2)A = B

    Acolyte didn't give the negative solution for some reason...
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