document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=34577>Question 34577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me with this problem<BR>\n" );
document.write( "solve for x\r<BR>\n" );
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document.write( "x=3/x+1\r<BR>\n" );
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document.write( "this is what i have so far<BR>\n" );
document.write( "x(x+1)=3<BR>\n" );
document.write( "(x+3)(x-1)=0<BR>\n" );
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 #20863 by </B><A HREF=/tutors/aboutme.mpl?userid=MrTillman><B>MrTillman(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MrTillman><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=20863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First thing you need to do is get rid of the fraction, thus you multiply x by each term, which gives you a quadratic equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%29=%28x%293%2Fx+%2B+1%28x%29 ALIGN=MIDDLE  ALT=\"x%28x%29=%28x%293%2Fx+%2B+1%28x%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=3x%2Fx+%2B+x ALIGN=MIDDLE  ALT=\"x%5E2=3x%2Fx+%2B+x\"   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=3+%2B+x ALIGN=MIDDLE  ALT=\"x%5E2=3+%2B+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >  set equal to 0<BR>\n" );
document.write( "                                              <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-x-3=0 ALIGN=MIDDLE  ALT=\"x%5E2-x-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This quadractic doesnt factor, so you have to 'complete the square' like this:  first isolate the variable terms to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-x=3 ALIGN=MIDDLE  ALT=\"x%5E2-x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "      Make sure first term has coefficient of 1, it does <BR>\n" );
document.write( "      Then take coefficient of middle term (-x) and find the perfect square trinomial like this:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28-1%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which gives you 1/4 or .25<BR>\n" );
document.write( "      Just add this to both sides to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-x%2B1%2F4=3%2B1%2F4 ALIGN=MIDDLE  ALT=\"x%5E2-x%2B1%2F4=3%2B1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you get                                 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-x%2B1%2F4=13%2F4 ALIGN=MIDDLE  ALT=\"x%5E2-x%2B1%2F4=13%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you can factor the left side of this to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%2F2%29%5E2=13%2F4 ALIGN=MIDDLE  ALT=\"%28x-1%2F2%29%5E2=13%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you can solve for x using the square root method by taking square root of both sides to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1%2F2+=+sqrt%2813%2F4%29 ALIGN=MIDDLE  ALT=\"x-1%2F2+=+sqrt%2813%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1%2F2=1.803 ALIGN=MIDDLE  ALT=\"x-1%2F2=1.803\"   DISABLED_style= \"max-width:90%; height:auto;\" >   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1.803%2B1%2F2 ALIGN=MIDDLE  ALT=\"x+=+1.803%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "x= 2.303   \r<BR>\n" );
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document.write( "Check 2.303 = 3/2.303 + 1    <BR>\n" );
document.write( "2.303=1.303+1 yes           </SPAN>\n" );
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