King
  • King
Help................find all pairs of integers such that x^2-y^2=104 Help................find all pairs of integers such that x^2-y^2=104 @Mathematics
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[(x+y)(x-y) = 104\]
King
  • King
yeah then...
anonymous
  • anonymous
factorize 104

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King
  • King
yeah i get 52,26 but then i have to find all pairs of integers so is there any other short mthod?
King
  • King
x=52,y=26
mathmagician
  • mathmagician
104=2*2*2*13. then you have to solve systems of equations: x-y=2 and x+y=2*2*13; x-y=2*2 and x+y=2*13... then you will find all possible pairs

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