document.write( "Question 532113: find two positive numbers whose squares have the sum of 85 and difference of 13 \n" ); document.write( "
Algebra.Com's Answer #350670 by oberobic(2304)\"\" \"About 
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x^2 - y^2 = 13
\n" ); document.write( "x^2 + y^2 = 85
\n" ); document.write( "--------------
\n" ); document.write( "2x^2 = 98
\n" ); document.write( "x^2 = 49
\n" ); document.write( "x = +/- 7, but we're told to pick the positive value, so
\n" ); document.write( "x = 7
\n" ); document.write( "substitute to find 'y'
\n" ); document.write( "(7^2) + y^2 = 85
\n" ); document.write( "y^2 = 85-49
\n" ); document.write( "y^2 = 36
\n" ); document.write( "y = 6
\n" ); document.write( "check these values in the other equation
\n" ); document.write( "7^2 -6^2 = 13 ??
\n" ); document.write( "49-36=13
\n" ); document.write( "correct.
\n" ); document.write( "Answer: The two numbers are 6 and 7.
\n" ); document.write( "Done. \n" ); document.write( "
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