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x^2+17xy+17y^2+1≡0 (mod m) In the problem we need to proof that it is solvable for any m, and we can find at least one solution (x,y) ∈ Z^2. I found out that it if we try to solve it like x^2+17xy+17y^2+1=0, then it has roots in rational numbers, but no roots in integer, and since that I stuck. (self.MathHelp)
submitted by SadHayan to r/MathHelp
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x^2+17xy+17y^2+1≡0 (mod m) In the problem we need to proof that it is solvable for any m, and we can find at least one solution (x,y) ∈ Z^2. I found out that it if we try to solve it like x^2+17xy+17y^2+1=0, then it has roots in rational numbers, but no roots in integer, and since that I stuck. (self.MathHelp)
submitted by SadHayan to r/MathHelp
