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

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RonrickDaanoBest ResponseYou've already chosen the best response.0
yup, its 2x^22xy+y^2=225.
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
\[ 2x^2 2xy + y^2 = x^2 + (xy)^2 = 225 = 15^2 \\ \] this is same as \( a^2 + b^2 = 15^2 \)
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
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
 one year ago
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