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RonrickDaano

  • 2 years ago

How many pairs of integers (x,y) are there such that 2x2−2xy+y2=225?

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  1. nitz
    • 2 years ago
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    is it 2x^2?

  2. RonrickDaano
    • 2 years ago
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    yup, its 2x^2-2xy+y^2=225.

  3. experimentX
    • 2 years ago
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    \[ 2x^2 -2xy + y^2 = x^2 + (x-y)^2 = 225 = 15^2 \\ \] this is same as \( a^2 + b^2 = 15^2 \)

  4. experimentX
    • 2 years ago
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    you can use this formula to compare and find the integers http://mathworld.wolfram.com/images/equations/PythagoreanTriple/NumberedEquation5.gif from here http://mathworld.wolfram.com/PythagoreanTriple.html

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