SOLUTION: Find rational numbers x and y given that: x-2y+sqrt x+y = 1/2 sqrt 6
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Question 1177821:  Find rational numbers x and y given that: x-2y+sqrt x+y = 1/2 sqrt 6 
Answer by greenestamps(13215)   (Show Source): You can put this solution on YOUR website!
 
It is almost trivial to find any number of solutions to the problem as you posted it....
Now choose any rational value you want for x and use that equation to find the corresponding value for y, which will also be rational.
I will guess that that is not the answer you were looking for.  If not, then re-post the question, showing the given equation correctly.
 
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