Quadratic Diophantine equation \(\displaystyle{x}^{{2}}+{6}{y}^{{2}}-{x}{y}={47}\) has no solutions.

Destinee Hensley

Destinee Hensley

Answered question

2022-03-31

Quadratic Diophantine equation x2+6y2xy=47 has no solutions.

Answer & Explanation

Nathanial Carey

Nathanial Carey

Beginner2022-04-01Added 12 answers

x2yx+6y247=0=y24(6y247)=18823y20y28|y|=0,1,2
And none of them yield a perfect square for △. Thus no integer solutions !

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