document.write( "Question 1139332: Given that x-y= 8•sqrt(2) and xy= 137, where x and y are both positive, find the value of x+y without finding x or y \n" ); document.write( "

Algebra.Com's Answer #759803 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Given:
\n" ); document.write( "(1) $\"x-y+=+8%2Asqrt%282%29\"$
\n" ); document.write( "(2) $\"xy+=+137\"$

\n" ); document.write( "Square equation (1):
\n" ); document.write( " $\"x%5E2-2xy%2By%5E2+=+64%2A2+=+128\"$

\n" ); document.write( "Add 4 times equation (2):
\n" ); document.write( " $\"%28x%5E2-2xy%2By%5E2%29%2B4%28xy%29+=+128%2B4%28137%29+=+128%2B548+=+676\"$
\n" ); document.write( " $\"x%5E2%2B2xy%2By%5E2+=+%28x%2By%29%5E2+=+676\"$
\n" ); document.write( " $\"x%2By+=+sqrt%28676%29+=+26\"$ \n" ); document.write( "

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