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Find the integer zeros for equation of degree 8 ?

  1. Oct 2, 2011 #1
    Find the integer zeros for equation of degree 8 ???

    Hi I am trying to find the integer zeros of the equation:

    y^8-28y^6x+112y^6+210y^4x^2-1540y^4x-420y^2x^3+2464y^4+4200y^2x^2+105x^4-11872y^2x-1260x^3+8448y^2+4260x^2-5040x=0

    I know that I need some substitution to make the degree goes down.
    for example Let U=(some thing on x), and V=(some thing on y)

    I think the solution depend on Pell's equations or Diophantine equations


    I tried to put U=x and V=y^2 but did not know to do after that

    Please help
    Thanks
     
  2. jcsd
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