SOLUTION: Given x+y=sqrt( 10) , (x-y)^2=2 xy=

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Question 964338: Given x+y=sqrt( 10) , (x-y)^2=2
xy=
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x%2By=sqrt%2810%29+%2C+%28x-y%29%5E2=2%29

x%5E2-2xy%2By%5E2=2
x%5E2%2By%5E2-2=2xy
from second equation.


x%5E2%2B2xy%2By%5E2=10
2xy=10-x%5E2-y%5E2
2xy=10-%28x%5E2%2By%5E2%29
from first equation.

Both of the transformed equation contain expression x%5E2%2By%5E2. Try to do the rest yourself.

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!
Given x+y=sqrt( 10) , (x-y)^2=2
xy=
xy+=+8%2F4, or highlight_green%28xy+=+2%29