The simultaneous diophantine equations \(5Y^ 2-20=X^ 2\) and \(2Y^ 2+1=Z^ 2\) (Q790142)
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scientific article; zbMATH DE number 3847472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The simultaneous diophantine equations \(5Y^ 2-20=X^ 2\) and \(2Y^ 2+1=Z^ 2\) |
scientific article; zbMATH DE number 3847472 |
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The simultaneous diophantine equations \(5Y^ 2-20=X^ 2\) and \(2Y^ 2+1=Z^ 2\) (English)
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1984
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If N is a positive integer with \(N-1=x^ 2\), \(5N-1=y^ 2\), \(10N-1=z^ 2\), and integers x,y,z, then \(N=1\).
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simultaneous quadratic diophantine equations
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Pell equation
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