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This question was given, when I was preparing, by my teacher.
He gave 15 minutes.
Please try....
Let 'a' and 'b' be positive integers such that (ab + 1) divides (a^2 + b^2).
Then show that :
(a^2 + b^2) ÷ (ab + 1) is a square of an integer.
DON'T ATTEMPT IF YOU HAVE DONE BEFORE OR ELSE IT WOULD PROVE TOO EASY.
I could only figure the half way, my sir helped me out.
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Can we post pictures or else its hard to give geometry problems?
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Can we post pictures or else its hard to give geometry problems?
But this not of that category, so no difficulty.
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