Question 1085675
{{{xy=56}}}


{{{y=56/x}}}


Substitute into the other equation.
{{{x^2+(56/x)^2=113}}}


{{{x^4+56^2=113x^2}}}


{{{x^4-113x^2+56^2=0}}}


discriminant, {{{113^2-4*56^2=225=15^2}}}


{{{x^2=(113+- 15)/2}}}, notice this is for {{{x^highlight_green(2)}}}.


{{{system(x^2=49,OR,x^2=64)}}},..... which will give that the combinations of solutions are  the numbers 7 and 8.  As example, x=7 and y=8; or x=-7 and y=-8.