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#1 2007-12-28 20:44:16

tony123
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find all real x,y

find all real x,y such that



 

#2 2007-12-28 20:47:04

ganesh
Moderator

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Re: find all real x,y

I can think of only one solution right away.
(0,0) big_smile


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#3 2007-12-29 02:57:33

JaneFairfax
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Re: find all real x,y

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
.)


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