document.write( "Question 227129: The sum of a number and 8 times its reciprocal is 6. Find the number(s). \n" ); document.write( "
Algebra.Com's Answer #168860 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Let n= #,,,,,,,reciprocal = 1/n \n" ); document.write( ". \n" ); document.write( "n+ 8(1/n) = 6,,,given,,,,,,multiply thru by n \n" ); document.write( ". \n" ); document.write( "n^2 +8 = 6n \n" ); document.write( ". \n" ); document.write( "n^2 -6n +8 = 0,,,,,,factor \n" ); document.write( ". \n" ); document.write( "(n-4)(n-2) = 0 \n" ); document.write( ". \n" ); document.write( "n= 2, 4 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "check,,,,(2),,,,,, 2 + 8*1/2 =6,,,,,ok \n" ); document.write( ". \n" ); document.write( "(4),,,,,,4 +8*1/4 = 6,,,,,,ok \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |