document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=376609>Question 376609</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This problem is from Prentice Hall's Algebra 2 with trigonometry.    (2x + 3)/(x-1) = 10/(x^2-1) + (2x-3)/(x+1) I am a mom helping several of the students with their math homework.  However, I got the same answer they did on this problem but the book says there is no solution. We all got x = 1.  What are we doing wrong.  Thanks so much Debbie </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #267905 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=267905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you multiply every term by the LCD <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;\" >, you get the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+%2B+3%29%28x%2B1%29=10%2B%282x-3%29%28x-1%29 ALIGN=MIDDLE  ALT=\"%282x+%2B+3%29%28x%2B1%29=10%2B%282x-3%29%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you solve the equation above, you get the solution <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;\" >. However, you must check your solution by plugging it into the original equation.\r<BR>\n" );
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document.write( "This is where the problem lies. If you plug in <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;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+%2B+3%29%2F%28x-1%29+=+10%2F%28x%5E2-1%29+%2B+%282x-3%29%2F%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"%282x+%2B+3%29%2F%28x-1%29+=+10%2F%28x%5E2-1%29+%2B+%282x-3%29%2F%28x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%281%29+%2B+3%29%2F%281-1%29+=+10%2F%281%5E2-1%29+%2B+%282%281%29-3%29%2F%281%2B1%29+ ALIGN=MIDDLE  ALT=\"%282%281%29+%2B+3%29%2F%281-1%29+=+10%2F%281%5E2-1%29+%2B+%282%281%29-3%29%2F%281%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which then becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F0+=+10%2F0+%2B+-1%2F2+ ALIGN=MIDDLE  ALT=\"5%2F0+=+10%2F0+%2B+-1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since you CANNOT divide by zero, this means that <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 in the domain. So this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E1 ALIGN=MIDDLE  ALT=\"x%3C%3E1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This then means that <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 a solution.\r<BR>\n" );
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document.write( "So there are no solutions.\r<BR>\n" );
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document.write( "If you need more help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=Algebra%20Help\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
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document.write( "Also, feel free to check out my <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">tutoring website</a>\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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