I need to find the integer solutions to this equation.
Any Idea?
Thanks
everk
xy = x+y or x+y = -xy
the only solution is when x and y = 2 or x and y = -2
suppose y>x
then we can say y=kx+r k is an integer r<x
the left side is a multiple of x so the right should be so should x divides r but x>r then r=0
so y = kx
divde both sides by x
but x is an integer so k should equal 1
and
other case x+y = -xy same
so xy both 2 or both -2