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Diophantine equation

how many integer solutions does the equation

2\(t^{2}\) +1 = \(a^{2}\) have?? where t,a are integers

can any one help me in deriving the integer solutions explicitely??

thanks in advance

Note by Pranav Chakravarthy
4 years ago

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3 votes

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This basically a Pell's equation switched around. Taehyung Kim · 4 years ago

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Hint: consider the different parities. What do you know if for instance \(t\) is even? Tim Vermeulen · 4 years ago

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