Find all pairs (A, B) of positive integers such that each of the equations
x² - A*x + B = 0 and x² - B*x + A=0 has positive integer roots.

Prove that there are no others.

...tried to correct the title..

צט דםךואןםמ"'
is "my solution" , read from right to left remaining in Hebrew font and  qwerty keyboard:  צ is m   and ט is y...etc

 CANNOT CORRECT THE TITLE ONCE POSTED- bug in the system known for ages !!

Edited on October 18, 2016, 7:31 pm

Posted by Ady TZIDON on 2016-10-18 19:05:13