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Australian AMC 2013 - Senior Question 18

AMC AUSTRALIA · Australian AMC 2013 - Senior

Question 18

The number of different ordered pairs $(x,y)$ which satisfy the equation

$$2x^2-2xy+y^2=169$$

where x and y are integers and $x\ge0$ is
  1. 2
  2. 4
  3. 5
  4. 7
  5. 8