document.write( "Question 86009This question is from textbook Barron's PSAT/NMSQT 2006/2007
\n" ); document.write( ": How do you find the averages of polynomials such as in this problem: If $\"1%2Fx%2B1%2Fy=1%2Fz\"$ and xy=z , what is the average of x and y? \n" ); document.write( "

Algebra.Com's Answer #62157 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
1/x+1/y=1/z and xy=z
\n" ); document.write( "------
\n" ); document.write( "Add the left side of the equation to get:
\n" ); document.write( "(y+x)/xy = 1/z
\n" ); document.write( "Substitute z in place of xy to get:
\n" ); document.write( "(y+x)/z = 1/z
\n" ); document.write( "The numerators must be equal:
\n" ); document.write( "x+y=1
\n" ); document.write( "To get the average divide by 2:
\n" ); document.write( "(x+y)/2 = 1/2
\n" ); document.write( "=================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );