document.write( "Question 187383: The sum of a number and its reciprocal is 10/3. Find the number. \n" ); document.write( "
Algebra.Com's Answer #140446 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The sum of a number and its reciprocal is 10/3. Find the number. \n" ); document.write( "---------------- \n" ); document.write( "Since there's a 3 in the DEN, I'd guess 3. I'm right. \n" ); document.write( "The hard way: \n" ); document.write( "x + 1/x = 10/3 \n" ); document.write( "3x + 3/x = 10 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "(x-3)*(3x-1) = 0 \n" ); document.write( "x = 3 \n" ); document.write( "x = 1/3 \n" ); document.write( "I woulda missed the 1/3 just eyeballing it. \n" ); document.write( " |