document.write( "Question 235575: Sherlock Hemlock thought of two numbers. Their sum was 20 and the sum of their squares was 300. What was their product? \n" ); document.write( "
Algebra.Com's Answer #173486 by Edwin McCravy(20065)\"\" \"About 
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Sherlock Hemlock thought of two numbers. Their sum was 20 and the sum of their squares was 300. What was their product?
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document.write( "\"system%28x+%2B+y+=+20%2C+x%5E2%2By%5E2=300%29\"\r\n" );
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document.write( "Square both sides of the first equation:\r\n" );
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document.write( "\"%28x%2By%29%5E2=20%5E2\"\r\n" );
document.write( "\"%28x%2By%29%28x%2By%29=400\"\r\n" );
document.write( "\"x%5E2%2B2xy%2By%5E2=400\"\r\n" );
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document.write( "Using the second equation \r\n" );
document.write( "\"x%5E2%2By%5E2=300\", subtract equals from equals:\r\n" );
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document.write( "\"%28x%5E2%2B2xy%2By%5E2%29-%28x%5E2%2By%5E2%29=400-300\"\r\n" );
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document.write( "\"x%5E2%2B2xy%2By%5E2-x%5E2-y%5E2=100\"\r\n" );
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document.write( "\"2xy=100\"\r\n" );
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document.write( "\"xy=50\"\r\n" );
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document.write( "So their product is 50\r\n" );
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document.write( "Edwin
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