find all real x,y such that
I can think of only one solution right away.
It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
If you multiply the LHS of the first equation by, it becomes . Hence
Because the equations are symmetrical in x and y, you know that the answer must be in the form x = y. Therefore
(x=1 is rejected; it came into the working because I multiplied both sides of the first equation by.)