If a and b are positive integers such that (1+ab) divides (a^2 +b^2 ) show that the integer ((a^2 +b^2 )/(1+ab)) must be a perfect square.


Question and Answers Forum

All Questions Topic List
None Questions
Previous in All Question Next in All Question
Previous in None Next in None
Question Number 56912 by Kunal12588 last updated on 26/Mar/19

$If a and b are positive integers such that$ $(1 + a b) divides (a^{2} + b^{2}) show that the integer$ $\frac{a^{2} + b^{2}}{1 + a b} must be a perfect square .$
Commented by kaivan.ahmadi last updated on 26/Mar/19

$I g u e s s I a n d m r W h a v e s o l v e d t h i s$ $q u e s t i o n b y t w o w a y$
Commented by Kunal12588 last updated on 27/Mar/19

$q u e s t i o n n u m b e r p l e a s e$
Commented by kaivan.ahmadi last updated on 27/Mar/19

$N o . 53618$
Commented by kaivan.ahmadi last updated on 27/Mar/19

	Answered by kaivan.ahmadi last updated on 27/Mar/19

Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum