What pair of square numbers give the difference of A?

Answer 1

To find a pair of square numbers that give the difference of A, you can express this as ( x^2 - y^2 = A ), where ( x ) and ( y ) are integers. This can be factored into ( (x - y)(x + y) = A ). By determining pairs of factors of A, you can derive possible values for ( x ) and ( y ) using ( x = \frac{(f_1 + f_2)}{2} ) and ( y = \frac{(f_2 - f_1)}{2} ), where ( f_1 ) and ( f_2 ) are the factor pairs.