Question

X^2-5y^2=1232 how many pairs are passible

Answer 1

LHS (X^2-5y^2) must have unit digit 2 .

unit digit of 5Y^2 will either be 5 or 0. Hence unit digit of X^2 must be 7 or 2.

There is no integer , square of which has 7 or 2 at its unit place.Hence there is no value of X and Y possible.