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Math Help - integer solutions

  1. #1
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    integer solutions

    what r the integer solutions( if any) to this equation
     x^2-18y^2=12
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  2. #2
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    Quote Originally Posted by islam View Post
    what r the integer solutions( if any) to this equation
     x^2-18y^2=12
    Show that x^2, and hence also x, is a multiple of 3, say x=3z. Then 3z^2-6y^2 = 4. But the left side is a multiple of 3 and the right side is not ... .
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  3. #3
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    Simple and beautiful solution Oplag .
    By the way , it's a Pell-Fermat equation . ( well , i mean in general x˛-ny˛=m , where n isn't a perfect square)
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