IMO LONGLISTED PROBLEM 1972

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MATHPRITOM
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IMO LONGLISTED PROBLEM 1972

Unread post by MATHPRITOM » Mon May 02, 2011 7:40 pm

Find all integer solutions of the equation $1+x+x^2+x^3+x^4=y^4$.

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Masum
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Re: IMO LONGLISTED PROBLEM 1972

Unread post by Masum » Tue May 03, 2011 5:02 pm

Hint : Try to bound the limit of $x$ i.e. see when it lies between two consecutive squares.
One one thing is neutral in the universe, that is $0$.

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