document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29336>Question 29336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help. The sum of half a number and its reciprocal is the same as 51 divided by the number. 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 #16121 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=16121\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number be x<BR>\n" );
document.write( "Half a number = x/2<BR>\n" );
document.write( "Recipocal = 1/x\r<BR>\n" );
document.write( "\n" );
document.write( "<font color = green>Equation:</font><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2%2B1%2Fx=51%2Fx ALIGN=MIDDLE  ALT=\"x%2F2%2B1%2Fx=51%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> multiply the whole equation by x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F2%2B1=51 ALIGN=MIDDLE  ALT=\"x%5E2%2F2%2B1=51\"   DISABLED_style= \"max-width:90%; height:auto;\" >----> multply the whole eqaution by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2%2F2%29%2B2%281%2F1%29=2%28102%2F1%29 ALIGN=MIDDLE  ALT=\"2%28x%5E2%2F2%29%2B2%281%2F1%29=2%28102%2F1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2=102 ALIGN=MIDDLE  ALT=\"x%5E2%2B2=102\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=100 ALIGN=MIDDLE  ALT=\"x%5E2=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=sqrt%28100%29 ALIGN=MIDDLE  ALT=\"x%5E2=sqrt%28100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10 ALIGN=MIDDLE  ALT=\"x=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence, the number is 10.<BR>\n" );
document.write( "<font color = brown>Paul.</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );