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(13210) About Me  (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....

x-2y%2Bsqrt%28x%29%2By+=+%281%2F2%29sqrt%286%29
x%2Bsqrt%28x%29-y+=+%281%2F2%29sqrt%286%29
y+=+x%2Bsqrt%28x%29-%281%2F2%29sqrt%286%29

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.