document.write( "Question 937583: Find two numbers whose product is 3 and the difference of whose reciprocals is 1/6. thank you \n" ); document.write( "
Algebra.Com's Answer #570983 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Find two numbers whose product is 3 and the difference of whose reciprocals is 1/6. thank you
\n" ); document.write( "

\n" );
document.write( "Let smaller number be S
\n" );
document.write( "Then larger is: \"3%2FS\"
\n" );
document.write( "Smaller number's reciprocal: \"1%2FS\"
\n" );
document.write( "Larger number's reciprocal:  \"1%2F%283%2FS%29\", or \"S%2F3\"
\n" );
document.write( "Difference of their reciprocals equals \"1%2F6\", so: \"1%2FS+-+S%2F3+=+1%2F6\"
\n" );
document.write( "\"6+-+2S%5E2+=+S\" ----- Multiplying by LCD, 6S
\n" );
document.write( "\"2S%5E2+%2B+S+-+6+=+0\"
\n" );
document.write( "(2S - 3)(S + 2) = 0
\n" );
document.write( "2S = 3                OR             S + 2 = 0
\n" );
document.write( "S, or smaller number = \"system%28%283%2F2%29_or%2C-+2%29\"\r
\n" );
document.write( "\n" );
document.write( "If smaller number is: \"3%2F2\", then larger number is: \"3%2F%283%2F2%29\", or \"3%282%2F3%29\", or 2. 
\n" );
document.write( "Thus, numbers CAN BE: \"highlight_green%28system%28%283%2F2%29_and%2C2%29%29\"\r
\n" );
document.write( "\n" );
document.write( "If smaller number is: \"-+2\", then larger number is: \"3%2F-+2%29\", or \"-+3%2F2\" 
\n" );
document.write( "Thus, numbers CAN BE: \"highlight_green%28system%28-+2_and%2C-+3%2F2%29%29\" \n" );
document.write( "
\n" );