document.write( "Question 5247: The differene of two positive numbers is 5. If you square and add the results the sum is 97. \n" ); document.write( "
Algebra.Com's Answer #2656 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
Let smaller number = x
\n" ); document.write( "Larger number is therefore x+5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+%28x%2B5%29%5E2+=+97\"
\n" ); document.write( "\"x%5E2+%2B+x%5E2+%2B+10x+%2B+25+=+97\"
\n" ); document.write( "\"2x%5E2+%2B+10x+-+72+=+0\"
\n" ); document.write( "\"x%5E2+%2B+5x+-+36+=+0\"\r
\n" ); document.write( "\n" ); document.write( "(x+9)(x-4) = 0
\n" ); document.write( "so x+9 = 0 or x-4=0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so x=-9, x=4\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The question says positive numbers, so x=4 and the larger number is 5 greater, is 9.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "jon.
\n" ); document.write( " \n" ); document.write( "
\n" );