document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033393>Question 1033393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> answer these two questions.\r<BR>\n" );
document.write( "\n" );
document.write( "1.)the sum of a number and its reciprocal is 5/2. find the number\r<BR>\n" );
document.write( "\n" );
document.write( "2.) if a positive number is decreased by its reciproca,the result is 8/3.find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647972 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the number.<BR>\n" );
document.write( "x/1+1/x = 5/2 Here, x/1=x, so let's simplify:<BR>\n" );
document.write( "x+1/x = 5/2 <BR>\n" );
document.write( "Multiply all terms times 2x:<BR>\n" );
document.write( "2x^2+2 = 5x<BR>\n" );
document.write( "Subtract 5x from both sides:<BR>\n" );
document.write( "2x^2-5x+2 = 0<BR>\n" );
document.write( "Factor the equation using FOIL:<BR>\n" );
document.write( "(x-2)(2x-1)= 0<BR>\n" );
document.write( "Split into 2 equations and solve for each:<BR>\n" );
document.write( "x-2 = 0 or 2x-1 = 0<BR>\n" );
document.write( "x = 2 or x = 1/2<BR>\n" );
document.write( "Let's try the two possibilities to see which one is the correct answer:<BR>\n" );
document.write( "2+1/2 = 4/2+1/2 = 5/2<BR>\n" );
document.write( "Great, right off the bat I found the answer. Discard the other equation.<BR>\n" );
document.write( "John\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );