# 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, 11 months ago

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## Comments

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This basically a Pell's equation switched around.

- 4 years, 11 months ago

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

- 4 years, 11 months ago

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