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Diophantine Equationsmedium
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The positive integer solutions (x,y)(x, y)(x,y) to the Diophantine equation x2−xy−y2=1x^2 - xy - y^2 = 1x2−xy−y2=1 are closely related to consecutive Fibonacci numbers. Which of the following pairs (x,y)(x, y)(x,y) is a solution to this equation? (Select all that apply)