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(Solved): Give a simple reason why the two binary quadratic forms x^(2)+4xy+5y^(2) and 2x^(2)+5xy+y^(2) are no ...
Give a simple reason why the two binary quadratic forms x^(2)+4xy+5y^(2) and
2x^(2)+5xy+y^(2) are not equivalent.
Find the unique reduced form that is properly equivalent to the positive definite binary
quadratic form 3x^(2)+10xy+9y^(2).
Are there integer solutions to the equations 3x^(2)+10xy+9y^(2)=2 and 3x^(2)+10xy+9y^(2)=5 ?