document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190827>Question 1190827</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a number and twice its reciprocal is 51/5. What is the number?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822552 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let the number be x; then twice the reciprocal is 2/x.<br><BR>\n" );
document.write( "The sum of the two s 51/5:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2%2Fx=51%2F5 ALIGN=MIDDLE  ALT=\"x%2B2%2Fx=51%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Multiply everything by the least common denominator 5x to clear fractions:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B10=51x ALIGN=MIDDLE  ALT=\"5x%5E2%2B10=51x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2-51x%2B10=0 ALIGN=MIDDLE  ALT=\"5x%5E2-51x%2B10=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x-1%29%28x-10%29=0 ALIGN=MIDDLE  ALT=\"%285x-1%29%28x-10%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F5 ALIGN=MIDDLE  ALT=\"x=1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <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;\" ><br><BR>\n" );
document.write( "ANSWER: The two numbers are 1/5 and 10<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "x=1/5 --> 2/x=10 --> x+2/x=10+1/5=51/5<BR>\n" );
document.write( "x=10 --> 2/x=1/5 --> x+2/x=10+1/5=51/5<br><BR>\n" );
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