document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442439>Question 442439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (1)/ (x-1) + (1)/ (2) = (2) / (x^2 -1)\r<BR>\n" );
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document.write( "Algebra problem I am trying to help my daughter with, but I can't make it work out.  Please help so I can explain, thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305164 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%28x-1%29+%2B+1%2F2+=+2%2F%28x%5E2+-1%29+ ALIGN=MIDDLE  ALT=\"+1%2F%28x-1%29+%2B+1%2F2+=+2%2F%28x%5E2+-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+1+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%28x-1%29+%2B+1%2F2+=+2+%2F+%28%28x+-1%29%2A%28x%2B1%29%29+ ALIGN=MIDDLE  ALT=\"+1%2F%28x-1%29+%2B+1%2F2+=+2+%2F+%28%28x+-1%29%2A%28x%2B1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28x-1%29%2A%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"+2%2A%28x-1%29%2A%28x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28x%2B1%29+%2B+%28x-1%29%2A%28x%2B1%29+=+4+ ALIGN=MIDDLE  ALT=\"+2%2A%28x%2B1%29+%2B+%28x-1%29%2A%28x%2B1%29+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now multiply everything out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+2+%2B+x%5E2+-+1+=+4+ ALIGN=MIDDLE  ALT=\"+2x+%2B+2+%2B+x%5E2+-+1+=+4+\"   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+%2B+2x++=+3+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+2x++=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve by completing the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+2x+%2B+%282%2F2%29%5E2+=+3+%2B+%282%2F2%29%5E2+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+2x+%2B+%282%2F2%29%5E2+=+3+%2B+%282%2F2%29%5E2+\"   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+%2B+2x+%2B+1+=+3+%2B+1+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+2x+%2B+1+=+3+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Both sides are now a perfect square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+%2B+1+%29%5E2+=+2%5E2+ ALIGN=MIDDLE  ALT=\"+%28+x+%2B+1+%29%5E2+=+2%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B1+=+2+ ALIGN=MIDDLE  ALT=\"x+%2B1+=+2+\"   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+ ALIGN=MIDDLE  ALT=\"+x+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > 1st answer<BR>\n" );
document.write( "and, also the negative square root,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+1+=+-2+ ALIGN=MIDDLE  ALT=\"+x+%2B+1+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3+ ALIGN=MIDDLE  ALT=\"x+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > 2nd answer<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "check answers:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+1+ ALIGN=MIDDLE  ALT=\"+x+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%28x-1%29+%2B+1%2F2+=+2%2F%28x%5E2+-1%29+ ALIGN=MIDDLE  ALT=\"+1%2F%28x-1%29+%2B+1%2F2+=+2%2F%28x%5E2+-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%281-1%29+%2B+1%2F2+=+2%2F%281%5E2+-1%29+ ALIGN=MIDDLE  ALT=\"+1%2F%281-1%29+%2B+1%2F2+=+2%2F%281%5E2+-1%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+=+1+ ALIGN=MIDDLE  ALT=\"+x+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not allowed because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%281-1%29+=+1%2F0+ ALIGN=MIDDLE  ALT=\"+1%2F%281-1%29+=+1%2F0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2F%281%5E2+-1%29+=+2%2F0+ ALIGN=MIDDLE  ALT=\"+2%2F%281%5E2+-1%29+=+2%2F0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and division by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not allowed<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3 ALIGN=MIDDLE  ALT=\"x+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F%28-3-1%29+%2B+1%2F2+=+2%2F%28%28-3%29%5E2+-1%29+ ALIGN=MIDDLE  ALT=\"+1%2F%28-3-1%29+%2B+1%2F2+=+2%2F%28%28-3%29%5E2+-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1%2F4+%2B+1%2F2++=+2%2F8+ ALIGN=MIDDLE  ALT=\"+-1%2F4+%2B+1%2F2++=+2%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1%2F4+%2B+2%2F4+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+-1%2F4+%2B+2%2F4+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+=+1%2F4+ ALIGN=MIDDLE  ALT=\"+1%2F4+=+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "The answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-3+ ALIGN=MIDDLE  ALT=\"+x+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );