document.write( "Question 14241: the sum of a number and 5 times its reciprocal is 6. find the number(s) \n" ); document.write( "
Algebra.Com's Answer #7127 by rahman(247)\"\" \"About 
You can put this solution on YOUR website!
Suppose: x is the number\r
\n" ); document.write( "\n" ); document.write( "Math model:\r
\n" ); document.write( "\n" ); document.write( "\"x+%2B5%2A%281%2Fx%29=6\" ------>multiply with x
\n" ); document.write( "\"x%2Ax+%2Bx%2A5%2A%281%2Fx%29=6%2Ax\"
\n" ); document.write( "\"x%5E2+%2B5=6x\"
\n" ); document.write( "\"x%5E2-6x%2B5=0\"
\n" ); document.write( "\"%28x-5%29%28x-1%29=0\"
\n" ); document.write( "\"x-5=0\"or\"x-1=0\"
\n" ); document.write( "x=5 or x=1\r
\n" ); document.write( "\n" ); document.write( "The number are 5 or 1.
\n" ); document.write( "
\n" );