document.write( "Question 252379: If xy = 2 and x^2 + y^2 = 5 , then x/y + y/x = ? \n" ); document.write( "

Algebra.Com's Answer #184221 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
If xy = 2 and x^2 + y^2 = 5 , then x/y + y/x = ?
\n" ); document.write( ".
\n" ); document.write( "Start with:
\n" ); document.write( "x^2 + y^2 = 5
\n" ); document.write( "Divide both sides by xy:
\n" ); document.write( "(x^2 + y^2)/(xy) = 5/(xy)
\n" ); document.write( "x^2/(xy) + y^2/(xy) = 5/(xy)
\n" ); document.write( "x/y + y/x = 5/(xy)
\n" ); document.write( ".
\n" ); document.write( "Finally, substitute xy with 2:
\n" ); document.write( "x/y + y/x = 5/(xy)
\n" ); document.write( "x/y + y/x = 5/2
\n" ); document.write( " \n" ); document.write( "

\n" );