Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
You are not logged in.
#2 2007-12-28 20:47:04
- ganesh
- Moderator
Offline
Re: find all real x,y
I can think of only one solution right away.
(0,0) 
Character is who you are when no one is looking.
#3 2007-12-29 02:57:33
- JaneFairfax
- Legendary Member
Offline
Re: find all real x,y
If you multiply the LHS of the first equation by
, it becomes . HenceBecause 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 .)