document.write( "Question 890681: The sum of the squares of two numbers is 197. The square of their difference is 83. Find the product \n" ); document.write( "
Algebra.Com's Answer #539161 by ankor@dixie-net.com(22740)\"\" \"About 
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The sum of the squares of two numbers is 197.
\n" ); document.write( "x^2 + y^2 = 197
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\n" ); document.write( "The square of their difference is 83.
\n" ); document.write( "(x - y)^2 = 83
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 - 2xy + y^2 = 83
\n" ); document.write( "Use elimination with the 1st equation
\n" ); document.write( "x^2 + 0 + y^2 = 197
\n" ); document.write( "x^2 - 2xy + y^2 = 83
\n" ); document.write( "------------------------Subtraction eliminates x^2 and y^2
\n" ); document.write( " 2xy = 114
\n" ); document.write( "xy = 114/2
\n" ); document.write( "xy = 57 is the product
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