document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=413910>Question 413910</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to use the following 5-step method to solve this problem.<BR>\n" );
document.write( "1. State what you need to solve for.<BR>\n" );
document.write( "2. Identify the unknowns.<BR>\n" );
document.write( "3. Write the equation derived from the word problem.<BR>\n" );
document.write( "4. Solve for the given variable.<BR>\n" );
document.write( "5. Check.\r<BR>\n" );
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document.write( "Here is the question. \r<BR>\n" );
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document.write( ">>>>>>The sum of a number and its reciprocal is (10/3). What is the number?\r<BR>\n" );
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document.write( "This is what I think the answer should be. Am I thinking this out correctly?<BR>\n" );
document.write( "1. I need to solve for a number.<BR>\n" );
document.write( "2. The unknown is x.<BR>\n" );
document.write( "3. The formula is x + (1/x) = (10/3)<BR>\n" );
document.write( "4. Solve.  I thought to do <BR>\n" );
document.write( "     3(x + (1/x)) = (10/3)3<BR>\n" );
document.write( "      3x+ 3/x = 10<BR>\n" );
document.write( "  ( I think I am stuck. I don't think I have the right formula. What do I do?\r<BR>\n" );
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document.write( "Thanks alot for your help.\r<BR>\n" );
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document.write( ":) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #290353 by </B><A HREF=/tutors/aboutme.mpl?userid=bayners123><B>bayners123(12)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bayners123><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=290353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yeah you are well on your way, just multiply through by x and solve the quadratic.\r<BR>\n" );
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document.write( "you should get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+%2B3=10x ALIGN=MIDDLE  ALT=\"3x%5E2+%2B3=10x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rearranging gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+-+10x+%2B3=0 ALIGN=MIDDLE  ALT=\"3x%5E2+-+10x+%2B3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so factorise to (3x-1)(x-3)=0, and from this we can see x is 3 or 1/3, both of which fit the description.\r<BR>\n" );
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document.write( "As for the wordy stuff, I am not too familiar with that but it seemed to make sense. </SPAN>\n" );
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