document.write( "Question 177583: if x + y =12 and xy = 163, find x squared + y squared \n" ); document.write( "

Algebra.Com's Answer #132613 by edjones(8007) $\"\"$ $\"About$

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x+y=12
\n" ); document.write( "xy=163
\n" ); document.write( ".
\n" ); document.write( "x=12-y
\n" ); document.write( "y(12-y)=163
\n" ); document.write( "12y-y^2=163
\n" ); document.write( "y^2-12y+163=0
\n" ); document.write( "y=6-sqrt(127)i, x=6+sqrt(127)i (or vice versa) [quadratic equation]
\n" ); document.write( "x^2+y^2
\n" ); document.write( "=[-91+12sqrt(127)i]+[-91-12sqrt(127)i]
\n" ); document.write( "=182
\n" ); document.write( ".
\n" ); document.write( "Ed \n" ); document.write( "

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