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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??

Note by Pranav Chakravarthy
4 years ago

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

Hint: consider the different parities. What do you know if for instance $$t$$ is even? · 4 years ago