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x^2 +xy+y^2 = 97 diophantine

Source: Germany 1999 p1

February 23, 2020
Diophantine equationdiophantinenumber theory

Problem Statement

Find all x,yx,y which satisfy the equality x2+xy+y2=97x^2 +xy+y^2 = 97, when x,yx,y are a) natural numbers, b) integers
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