document.write( "Question 446610: The sum of reciprocals of two consecutive even integers is given below.
\n" ); document.write( "5/12. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #307711 by robertb(5830) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"1%2Fx+%2B+1%2F%28x%2B2%29+=+5%2F12\"$
\n" ); document.write( "<==> $\"%282x%2B2%29%2F%28x%28x%2B2%29%29+=+5%2F12\"$
\n" ); document.write( "<==> $\"12%282x%2B2%29+=+5x%28x%2B2%29\"$
\n" ); document.write( "<==> $\"24x+%2B+24+=+5x%5E2+%2B+10x\"$
\n" ); document.write( "<==> $\"5x%5E2+-+14x+-+24+=+0\"$
\n" ); document.write( "==> (x-4)(5x+6) = 0 ==> x = 4 or -6/5.
\n" ); document.write( "Eliminate the second value since it is not an integer.
\n" ); document.write( "Hence the two integers are 4 and 6. \n" ); document.write( "

\n" );