document.write( "Question 1134880: I am not sure how to do the problem which I will write down. I hope you can help me. Thank you in advance.\r
\n" ); document.write( "\n" ); document.write( "The sum of a number and its reciprocal is 17/4. Find the number.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #752376 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "The problem asks you to find the number x based on this equation, which follows directly from the description\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    x +  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To solve it, multiply both sides by 4x. You will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    4x^2 + 4 = 17x,   or, equivalently,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    4x^2 - 17x + 4 = 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Next step is to solve this quadratic equation. You can do it using the quadratic formula\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, the problem has two solutions\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     =  =  = 4,   and\r\n" );
document.write( "\r\n" );
document.write( "     =  =  = .\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Do not forget to post your \"Thanks\" to me for my help ! !\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );