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King

  • 4 years ago

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

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  1. sheg
    • 4 years ago
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    \[(x+y)(x-y) = 104\]

  2. King
    • 4 years ago
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    yeah then...

  3. sheg
    • 4 years ago
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    factorize 104

  4. King
    • 4 years ago
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    yeah i get 52,26 but then i have to find all pairs of integers so is there any other short mthod?

  5. King
    • 4 years ago
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    x=52,y=26

  6. mathmagician
    • 4 years ago
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    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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