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Re: Pell Equation

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  • Kermit Rose
    On 6/24/2013 12:07 PM, Maximilian Hasler ... (a1^2 + d b1^2)^2 - (2 d a1 b1)^2 = 1 should have been (a1^2 + d b1^2)^2 - d (2 a1 b1)^2 = 1 Kermit
    Message 1 of 5 , Jun 24, 2013
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      On 6/24/2013 12:07 PM,

      "Maximilian Hasler"

      wrote:
      > ________________________________________________________________________
      > 1a. Re: Pell Equation
      > Posted by: "Maximilian Hasler" maximilian.hasler@... maximilian_hasler
      > Date: Sun Jun 23, 2013 12:37 pm ((PDT))
      >
      >
      >> **
      >> Kermit Rose <kermit@...> wrote:
      >>> if
      >>> a1^2 - d b1^2 = 1
      >>> a2^2 - d b2^2 = 1
      >>> then
      >>> (a1^2 + d b1^2)^2 - (2 d a1 b1)^2 = 1
      >>> (a1 a2 + d b1 b2)^2 - d (a1 b2 + b1 a2)^2 = 1
      >>
      > no : the 3rd equation is wrong.
      >
      > M.
      >

      (a1^2 + d b1^2)^2 - (2 d a1 b1)^2 = 1

      should have been

      (a1^2 + d b1^2)^2 - d (2 a1 b1)^2 = 1


      Kermit
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