document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=21082>Question 21082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> THE SUM OF A NUMBER AND ITS RECIPORCAL IS 10 OVER 3 WHAT IS THAT NUMBER? USE FIVE STEP METHOD I NEED MY DIPLOMA!! HELP!~! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10132 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=10132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm not sure what the \"five-step\" method is but perhaps you can adapt the following to fit. Let n be the unknown number.\r<BR>\n" );
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document.write( "Write the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+%2B+1%2Fn+=+10%2F3 ALIGN=MIDDLE  ALT=\"n+%2B+1%2Fn+=+10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the terms on the left side.<BR>\n" );
document.write( "Solve the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%5E2+%2B+1%29%2Fn+=+10%2F3 ALIGN=MIDDLE  ALT=\"%28n%5E2+%2B+1%29%2Fn+=+10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by n.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2+%2B+1+=+10n%2F3 ALIGN=MIDDLE  ALT=\"n%5E2+%2B+1+=+10n%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n%5E2+%2B+3+=+10n ALIGN=MIDDLE  ALT=\"3n%5E2+%2B+3+=+10n\"   DISABLED_style= \"max-width:90%; height:auto;\" >} Subtract 10n from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n%5E2+-+10n+%2B+3+=+0 ALIGN=MIDDLE  ALT=\"3n%5E2+-+10n+%2B+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve this quadratic equation for n by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283n+-+1%29%28n+-+3%29+=+0 ALIGN=MIDDLE  ALT=\"%283n+-+1%29%28n+-+3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n+-+1+=+0 ALIGN=MIDDLE  ALT=\"3n+-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+-+1+=+0 ALIGN=MIDDLE  ALT=\"n+-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n+-+1+=+0 ALIGN=MIDDLE  ALT=\"3n+-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3n+=+1 ALIGN=MIDDLE  ALT=\"3n+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+1%2F3 ALIGN=MIDDLE  ALT=\"n+=+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+-+3+=+0 ALIGN=MIDDLE  ALT=\"n+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+3 ALIGN=MIDDLE  ALT=\"n+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So there are two answers to this problem:<BR>\n" );
document.write( "n = 3 and n = 1/3\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "n = 3:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%2B+1%2F3+=+9%2F3+%2B+1%2F3 ALIGN=MIDDLE  ALT=\"3+%2B+1%2F3+=+9%2F3+%2B+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F3 ALIGN=MIDDLE  ALT=\"10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > OK<BR>\n" );
document.write( "n = 1/3: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3+%2B+1%2F%281%2F3%29+=+1%2F3+%2B+3 ALIGN=MIDDLE  ALT=\"1%2F3+%2B+1%2F%281%2F3%29+=+1%2F3+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3+%2B+9%2F3+=+10%2F3 ALIGN=MIDDLE  ALT=\"1%2F3+%2B+9%2F3+=+10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > OK\r<BR>\n" );
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document.write( " </SPAN>\n" );
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