document.write( "Question 962426: The sum of two Numbers is 16. The sum of their squares exceeds 13 times the largar number by 4. What are the Numbers ?
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Algebra.Com's Answer #588029 by rothauserc(4718)\"\" \"About 
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x + y = 16
\n" ); document.write( "x^2 + y^2 = 13y +4
\n" ); document.write( "note that y is the larger number
\n" ); document.write( "solve first equation for x
\n" ); document.write( "x = 16 -y
\n" ); document.write( "now substitute for x in second equation
\n" ); document.write( "(16-y)^2 + y^2 = 13y +4
\n" ); document.write( "256 -32y +y^2 +y^2 = 13y + 4
\n" ); document.write( "2y^2 -45y +252 = 0
\n" ); document.write( "factor equation
\n" ); document.write( "(2y-21) * (y-12) = 0
\n" ); document.write( "y = 10.5 or 12
\n" ); document.write( "we have two solutions
\n" ); document.write( "x = 4, y = 12
\n" ); document.write( "x = 5.5, y = 10.5\r
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